Математика
1. Which of the following statements is true?
A population mean is an example of a point estimation.
B When the margin of error is small, the confidence level is low.
C A confidence interval is a type of point estimation.
D None of the above.
2. Average SAT score among all students at the University of Southern North Dakota at Hoople is 942. This is an example of …
A probability
B descriptive statistics
C random variables
D none of the above
3. The exam grades of 7 students are given below: 70, 66, 72, 96, 46, 90, 50. Find the sample standard deviation.
A 345,3
B 18,6
C 70
D 46
4. What is represented on the graph?
| A the curve of distribution
B distribution function
C polygon distribution
D none of the above
5. Given the data set 4, 10, 7, 7, 6, 9, 3, 8, 9. Find the mode.
A 6
B 7 and 9
C 9 and 10
D 7
6. Given the data set 62, 65, 68, 70, 72, 74, 76, 78, 80, 82, 96, 101. Find the median.
A 76
B 12
C 75
D 77
7. Find x and y so that the ordered data set has a mean of 42 and a median of 35. 17, 22, 26, 29, 34, x, 42, 67, 70, y
A x=36, y=77
B x=35, y=72
C x=40, y=75
D x=38, y=73
8. What is represented on the graph?
| A the curve of distribution
B distribution function
C polygon distribution
D none of the above
9. What is represented on the graph?
| A the curve of distribution
B distribution function
C polygon distribution
D the histogram
A of binomial distribution
B of distribution function
C of normal distribution
D none of the above
11. Write the formula for the mean valu
| A n
B n-1
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| 12. Write the formula for the variance of a sample
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| 13. X - the weight of the baby panda, within two months following results were obtained: 92, 100, 97, 108, 110 (c). Determine the average weight.
A 104,1;
B 100;
C 101,4;
D 102.
14. The confidence interval
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| 15. The confidence probability is denoted by …
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| 16. Entire assembly (general population) is …
A the study of statistics from mathematical standpoint
B the set of all values
C is the sample
D none of the above
17. The relative frequency is defined as …
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| D none of the above
18. The absolute frequency is defined as …
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| D none of the above
19. The coefficient of variance is defined as …
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| D none of the above
20. A teacher has a list of marks: 17, 13, 5, 10, 14, 9, 12, 16. Which two marks can be removed without changing the mean?
A 10 and 14
B 5 and 17
C 9 and 16
D 10 and 12
21. Which characteristic is the mean of the random variable?
A variance
B mode
C standard deviation of mean
D mathematical expectation
1. Evaluate the indefinite integral
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| 2. Evaluate the indefinite integral
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| 3. Evaluate the indefinite integral
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| 4. Evaluate the indefinite integral
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| 5. Evaluate the indefinite integral
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| 6. Evaluate the indefinite integral
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| 7. Choose the correct result
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| 8. Choose the correct result
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| 9. Evaluate the definite integral
| A 30
B 26
C 12
D 36
10. Evaluate the definite integral
| A – 1
B 4
C 1
D 0
11. Evaluate the definite integral
| A 0
B e+2
C e-1
D e
12. Evaluate the definite integral
| A 0,25
B 1
C 0
D 1,4
13. Evaluate the definite integral
| A 0
B 4
C 1
D 10
1. The 2nd order differential equation
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| 2. Consider the differential equation Is the equation …
| A linear
B separable
C uniform
D none of the above
3. The decision of the differential equation is a function
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| 4. The decision of the differential equation is a function
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| 5. Examples of differential equations of 2nd order:
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| 6. Find the solution to satisfying the initial condition y(0)=3
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| D none of the above
7. Find the solution to satisfying the initial condition y(4)=1
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| D none of the above
1. If an event is impossible, then the probability is …
A between 0 and 1;
B 0;
C close to 1;
D equal to 1.
2. Several events form a complete group, if they …
A are pairwise incompatible, and add up to an impossible event;
B are pairwise independent and together make a certain event;
C are opposite and add up to a certain event;
D mutually incompatible, and add up to a certain event.
3. Two events are called incompatible …
A if one excludes the occurrence of other events;
B if the sum of the probabilities is equal to one;
C and if they are equally likely to add up to a certain event;
D none of the above.
4. If events A and B – are dependent, the probability of their product is equal to
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| 5. Random events can be ...
A discrete;
B opposite;
C continuous;
D independent.
6. The box contains 57 standard and 4 defective parts. Among all the parts painted 35. What is the probability that the selected item will be painted, but defective?
A 140/3721
B 1995/3721
C 104/3721
D 1482/3721
7. If P (A) = P (A / B), the events A and B - independent.
A right;
B wrong.
8. A die is rolled once. What is the probability of getting number 5?
A 5/6
B 1/6
C 1/5
D 1
9. A die is rolled once. What is the probability of not getting number 2?
A 0
B 1/3
C 5/6
D 1/2
10. A die is rolled and a coin is tossed. What is the probability of getting seven and tails?
A 2/3
B 1/12
C 5/12
D 0
11. In a math class, there are 3 girls and 5 boys. The teacher asks a volunteer to come to the board. What is the probability that the student is a girl?
A 3/8
B 3/5
C 1/3
D 1/5
12. A vase has 4 yellow flowers, 4 red flowers, and 8 blue flowers. Donna took a flower, smelled it and returned it to the vase. What are the odds that the first flower was red and the second flower was blue?
A 1/8
B 75%
C 2/15
D 50%
13. Probability that a factory doesn't meet its production limit is 3/25. What is the probability that a factory meets the production limit?
A 22/25
B 80%
C 1/5
D 12%
14. What is the probability of throwing 3 with a cube shaped die?
A 1/3
B 1/2
C 1/6
D 1
15. What is the probability of throwing 4 or 5 with a die?
A 1/2
B 1/12
C 1/3
D 1/6
16. You roll two dies. The first die shows a ONE and the other die rolls under the table and you cannot see it. Now, what is the probability that both dies show ONE?
A 1/3
B 1/6
C 1/36
D 9/36
17. Choose a student from the students of the university. Let A be the event that the student is in economics studies, let B the event that he/she lives in a student hotel. Assume that P(A) =0.3; P(B) = 0.4; P(A*B) = 0.15. What is the probability that a student does not live in the student hotel?
A 0,7
B 0,5
C 0,6
D 0
18. Is it correct P(B) = -0.1?
A yes
B no
19. Is it correct P(B) = 1.4 ?
A yes
B no
20. Choose a student from the student of the university. Let A be the event that the student is in economics studies, let B the event that he/she lives in a student hotel. Assume that P(A) =0.3; P(B) = 0.4; P(A*B) = 0.15 What is the probability that both events occur?
A 0,12
B 0,7
C 0,15
D 1
21. Twenty four people had a blood test and the results are shown below: A, B, B, AB, AB, B, O, O, AB, O, B, A, AB, A, O, O, AB, B, O, A, AB, O, B, A. If a person is selected randomly from the group of twenty four people, what is the probability that his/her blood type is not O?
A 7/24
B 0
C 17/24
D 1
22. In a group of 40 people, 10 are healthy and every person from the remaining 30 has either high blood pressure or high level of cholesterol or both. If 15 have high blood pressure and 25 have high level of cholesterol. How many people have high blood pressure and high level of cholesterol?
A 10
B 30
C 40
D 20
23. In a group of 40 people, 10 are healthy and every person from the remaining 30 has either high blood pressure or high level of cholesterol or both. If 15 have high blood pressure and 25 have high level of cholesterol. If a person is selected randomly from this group, what is the probability that he/she has either high blood pressure or high level of cholesterol?
A 20/40
B 1
C 10/40
D 30/40
24. The probability of the complementary event of A is …
A P(A) - 1
B -P(A)
C 1-P(A)
D 1
25. All possible outcomes together must have probability …
A 0
B 0,9
C 100
D 1
26. Any probability is a number between …
A -1 and 1
B 0 and 1
C 0 and 100
D none of the above
27. Two events, A and B, are said to be incompatible when:
A the probability of A conditioned by B is equal to the probability of A
B the probability of the intersection is equal to the product of the probabilities
C A and B cannot happen simultaneously
D the combination of A and B is the certain event
28. To get the best deal on a CD player, Tom called eight appliance stores and asked the cost of a specific model. The prices he was quoted are listed below: $206, $220, $190, $192, $212, $240. Compute the sample standard deviation.
A 5
B 18,7
C 8,5
D 7,5
29. A jar contains 4 red, 3 blue, and 5 green marbles. If two marbles are randomly selected from the bag without replacement, what is the probability that the first marble is blue?
A 1/4
B 1/5
C 1/9
D 1/3
30. A jar contains 4 red, 3 blue, and 5 green marbles. If two marbles are randomly selected from the bag without replacement, what is the probability that the second marble is blue?
A 3/11
B 1/4
C 1/3
D 2/11
31. A jar contains 4 red, 3 blue, and 5 green marbles. If two marbles are randomly selected from the bag without replacement, what is the probability that the first marble is blue and the second marble is blue?
A 2/9
B 1/22
C 1/16
D 1/2
32. A jar contains 4 red, 3 blue, and 5 green marbles. If two marbles are randomly selected from the bag without replacement, what is the probability that the first marble is blue or the second marble is blue?
A 1/2
B 7/16
C 5/11
D 1
33. In a blood testing procedure, blood samples from 6 people are combined into one mixture. The mixture will only test negative if all the individual samples are negative. If the probability that an individual sample tests positive is 0.12, what is the probability that the mixture will test positive?
A 0,38
B 0,063
C 1
D 0,536
34. An event is called … in a given trial if it happens inevitably in this trial.
A opposite
B impossible
C compatible
D certain
35. Which of the following is true for the incompatible events
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| 38. The formula of total probability
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| D none of the above
39. The Bayes’ formula is …
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| 40. Of the total number of syllabus questions equal to 40. A student knows the answers to 28. Compute the probability of the event that the student knows the answers to the two questions asked by the examiner.
A 0,48
B 0,49
C 0,7
D 0
1. A bag contains 12 red M&Ms, 12 blue M&Ms, and 12 green M&Ms. What is the probability of drawing two M&Ms of the same color in a row?
A 0,3
B 1
C 0
D 0,5
2. In a school of 1200 students, 250 are seniors, 150 students take math, and 40 students are seniors and are also taking math. What is the probability that a randomly chosen student who is a senior, is taking math?
A 4/15
B 12,5%
C 3/5
D 16%
3. Suppose that five good fuses and two defective ones have been mixed up. To find the defective fuses, we test them one-by-one, at random and without replacement. What is the probability that we are lucky and find both of the defective fuses in the first two tests?
A 1/21
B 1/42
C 2/7
D 2/5
1. Which of the following is a discrete random variable?
A The average height of a randomly selected group of boys.
B The annual number of sweeps takes winners from Astrakhan.
C The number of presidential selections in the 20th century.
D Time of our lesson.
2. The number of adults living at home on a randomly selected city block is described by the following probability distribution. What is the probability that 4 or more adults reside at a randomly selected home?
xi 1 2 3 4 or more
pi 0,25 0,50 0,15 ?
A 0,10
B 1
C 0,25
D 0,90
2. In a recent little league softball game, each player went to bat 4 times. The number of hits made by each player is described by the following probability distribution. What is the mean of the probability distribution?
xi 0 1 2 3 4
pi 0,10 0,20 0,30 0,25 0,15
A 1,75
B 2,00
C 2,25
D none of the above.
3. If possible, determine whether the following is a probability distribution: a police department reports that the probabilities that 0, 1, 2, 3, and 4 car thefts will be reported in a given day are 0.192, 0.303, 0.212, 0.128, and 0.055, respectively.
A not a probability distribution
B is a probability distribution
C not enough information given to answer the question
5. The number of patients visiting a dermatologist for a day is described by the following probability distribution. What is the standard deviation of the probability distribution?
xi 2 5 8
pi 0,15 0,6 0,25
A 3,5
B 5,3
C 1,87
D 0,15
4. Specify normalization discrete random variable
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xi 1 2 3 4 5
pi 0,1 0,1 0,3 0,3 0,2
A 3,2
B 0,3
C 3,4
D 4
5. Which of the formula determines the distribution function of the discrete random variable?
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| D none of the above.
6. The distribution function of a random variable X is defined as
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| D none of the above.
A 0,2
B 0
C 0,5
D 0,1
8. Which of these examples is defined as a random variable?
A hit in the target;
B the weight of the student;
C the number of nerve cells;
D positive test result;
E atmospheric pressure.
1. If the probability P (A) = 1, then the event is called ...
A the impossible
B the certain
C the random
D the independent
2. If the occurrence of an event B does not change the probability of the event A, then the events A and B are called ...
A incompatible
B independent
C impossible
D certain
3. The curve showing the distribution law of the continuous random variable, is …
A. a plot of the probability
B. a plot ofthe probability density function
C. a plot of the cumulative distribution function
D. is a graph of the distribution
4. The function is called…
| A. a random function
B. the distribution function
C. the probabilitydensity distribution
D. the variance
5. The derivative of the distribution function - it's ...
A the distribution function
B the mean
C the probability density distribution
D the variance
6. The dice thrown once. Then the probability that falls on the upper face of at least five points, equal …
А. 1/6
B 5/6
C 1/2
D 1/3
7. The dice thrown once. Then the probability that falls on the upper faceis not more than three points is equal …
А. 2/3
B 1/3
C 1/2
D 1/6
8. The dice thrown once. Then the probability that the top face of falling two points is equal
А. 1/6
B 2/3
C 5/6
D 1/2
9. The dice thrown once. Then the probability that falls on the upper face number of points multiple of three equal
A 1/2
B 1/3
C 2/3
D 5/6
10. The dice thrown once. Then the probability that the top face of fallingeven number of points is equal
A 5/6
B 2/3
C 1/3
D 1/2
11. The dice throwntwice. Then the probability that the sum of the dropped points four is equal
A 3/36
B 5/36
C 1/2
D 1/3
12. The dice throwntwice. Then the probability that the sum of the dropped pointsfive is equal
A 5/36
B 4/36
C 1/6
D 2/36
13. The dice thrown twice. Then the probability that the sum of the dropped points is a prime number is …
A 10/36
B 5/36
C 15/36
D 1/36
14. The dice throwntwice. Then the probability that the sum of the dropped points isan integral number equals
A 1
B 5/36
C 0
D 1/2
15. The dice throwntwice. Then the probability that the sum of the dropped points nine isequal
A 4/36
B 5/36
C 6/36
D 7/36
16. Two coins thrown once. Then the probability fall out that the one eagles and one is tails is equal
A 0,5
B 0,4
C 1
D 0,3
17. In the cart there are 4 pears, 5 apples and 8 plums. The probability that a randomly taken fruit is an apple is …
A 5/9
B 5/12
C 5/17
D 5/10
18. In your cart are 7 pears, 5 apples and 8 plums. The probability that a randomly taken fruitapple is not equal
A 12/20
B 10/20
C 15/20
D 0
19. In the cart there are 2 oranges, 8 lemons, 15 apples and 5 tangerines. The probability that a randomly taken the fruit is the fruit of the tree of the genus Citrus is …
A 0,4
B 0,5
C 0,3
D 0,1
20. In the cart there are 2 oranges, 8 lemons, 15 apples and 5 tangerines. The probability that a randomly taken fruit is orange or tangerine equal
A 1/3
B 7/30
C 17/30
D 23/30
21. The group consists of 20 students. Half of them have a mobile phone brand Nokia, 20% of students have phone brand Samsung, the remaining students have phones brand Sony Ericsson. During the class suddenly the phone rang. What is the probability that the phone rang brand Sony Ericsson assuming 100% attendance and a disconnected mobile phone from a teacher?
A 0,3
B 0,4
C 0,5
D 0,6
22. Differential equation What is the value of C
| A -3
B 27
C -27
D 3
23. Differential equation What is the value of C
| A -25
B -7
C 25
D 7
24. Differential equation What is the value of C
| A 6
B 2
C 4
D -3
25. Differential equation What is the value of C
| A 24
B -10
C -8
D 14
26. Differential equation What is the value of C
| A -2
B 0
C 1
D 2
27. Differential of the function is
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| 28. Differential of the function is
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| 29. The total differential of the function is
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| 30. The total differential of the function is
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| 31. The total differential of the function is
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| 32. The heights of 5 students of 21 years age are: 184, 175, 178, 189, 191. What is the n?
A 191
B 5
C 175
D 4
33. Which of these numbers cannot be a probability?
A 20%
B 3/4
C 1,001
D 0,05
34. The blood groups of 200 people is distributed as follows: 50 have type A blood, 65 have B blood type, 70 have O blood type and 15 have type AB blood. If a person from this group is selected at random, what is the probability that this person has A blood type?
A 0,35
B 0,65
C 0,25
D 0,075
35. Consider the following data set 9, 10, 7, 12, 12 .The mean value of 5. Calculate the variance.
A 2,2
B 7
C 5
D 4,5
36. Find x and y so that the ordered data set has a mean of 42 and a median of 35. 17 , 22 , 26 , 29 , 34 , x , 42 , 67 , 70 , y.
A х=77, у=36
B х=14, у=70
C х=34, у=17
D х=36, у=77
1. Which of the following statements is true?
A general population is part of the sample
B a histogram is a cumulative curve
C a mean value is a type of point estimation
D none of the above.
2. Which of the following statements is true?
A descriptive statistics is that in which we describe the characteristics of population like mean, median, standard deviation etc.
B a relative frequency histogram is a histogram in which the frequencies are substituted by the absolute frequencies
C a histogram is a distribution polygon
D none of the above.
3. Which of the following statements is true?
A the absolute frequency is obtained by dividing the class frequency to the total number of elements from the data set
B an enough and representative part of population is called sample
C the median of the set of statistical data is the sum of these data, divided by the number of data
D none of the above.
4. The blood pressure of 9 patients is: 155, 166, 133, 155, 179, 148, 143, 128, 138. Find the median.
A 148
B 155
C 149
D 179
5. The heights of 5 boys of 2 years age are: 92, 87, 96, 93, 97. Find the mean.
A 92
B 96
C 91
D 93
6. The blood pressure of 9 patients is: 155, 166, 133, 155, 179, 148, 143, 128, 138. Find the mode.
A 179
B 149
C 155
D 148
7. Х - is the blood viscosity: 5, 4, 3, 2, 6, 3, 4, 8, 10. Find the mean.
A 6
B 4,5
C 7
D 5
8. Х - is the blood viscosity: 5, 4, 3, 2, 6, 3, 4, 8, 10. Find the median.
A 3
B 4
C 5
D 6
9. The heights of 5 boys of 2 years age are: 89, 90, 86, 93, 95, 92. Find the median.
A 91
B 89,5
C 90
D 88
10. The heights of 6 students of 19 years age are: 177, 185, 189, 175, 194, 187. What is the n?
A 19
B 5
C 6
D 194
1. Which of the following statements is true?
A integration is the inverse operation to differentiation
B a constant factor can’t be taken outside the integral sign
C the function is called a primitive of a function if for all x in the domain of
D none of the above.
2. Determine the order of the differential equation
| A first order
B second order
C third order
D forth order
3. Determine the order of the differential equation
| A first order
B second order
C third order
D forth order
4. Determine the order of the differential equation
| A first order
B second order
C third order
D forth order
5. Determine the order of the differential equation
| A first order
B second order
C third order
D forth order
6. Determine the order of the differential equation
| A first order
B second order
C third order
D forth order
7. Determine the order of the differential equation
| A first order
B second order
C third order
D forth order
8. Determine the order of the differential equation
| A first order
B second order
C third order
D forth order
9. Which of the following statements is true?
A order of the differential equation is the order of the highest derivatives
B a second order differential equation is an equation involving the unknown function , its derivative y', and the variable x
C in many physical problems we need to find the particular solution that satisfies a condition of the form
D none of the above
10. The function under the integral sign is called …
A the integrand
B the integration variable
C the indefinite integral
D integration
11. The total differential of a function
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| D none of the above
12. Definite integral is …
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| 13. Find a primitive function F(x) for
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| 14. Find a primitive function F(x) for
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| 15. Find the derivative of the function
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A 6
B 7
C 10
D 12
A e-1
B e+1
C e
D 1
A 4
B 5
C 6
D 7
A 0
B 2
C 1
D 3
21. Which of the following is the general solution of the differential equation
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| 22. Differential equation What is the valueof C
| A 12
B - 4
C 2
D 0
23. Differential of the function is
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| 24. The increment of the argument is called…
A the difference between the value of the function and value of the variable
B the differential of the variable
C the difference between the two values of the function
D the difference between the two values of the variable
25. The definite integral is…
A the number
B the set of primitive functions
C the primitive function
D the formula
1. Which of the following statements is true?
A Destruction of a cell under the action of radioactive rays is random variable.
B Probability theory – the section of mathematics studying laws of the casual phenomena.
C By a random event related with a certain experiment we understand any event which occurs in every trial.
D None of the above.
2. Consider two events A and B associated to an experiment. If there is no reason to suppose that the occurrence of one of the two events is favored with respect to the other, then we say that the two events are …
A independent
B equally possible
C incompatible
D opposite
3. The events A and B are compatible if…
A at least one of the events A or B occur
B the event A conditioned by the occurrence of the event B
C they can occur simultaneously
D none of the above
4. A variable whose value is a number determined by the elementary event resulting from an experience, is called …
A random variable
B random event
C random experiment
D none of the above
5. random variables have a countable number of outcomes.
A certain
B continuous
C discrete
D none of the above
6. The law of distribution of the discrete random variable X has the form Find the probability p2
X 2 5 8
pi 0,1 p2 0,6
A 0,3
B 0
C 0,7
D 0,5
7. The law of distribution of the discrete random variable X has the form. Find the mathematical expectation M(X).
X 2 5 8
pi 0,2 0,3 0,5
A 5
B 15
C 5,9
D 1
8. The law of distribution of the discrete random variable X has the form. Find the variance D(X).
X 0 1 2
pi 0,5 0,2 0,3
A 0,76
B 1,4
C 0,8
D 2,04
9. The probability of А given that В has occurred is called …
A the continuous probability
B the dependent probability
C the conditional probability
D none of the above
10. Which of the following statements is true?
A The number of students on the lecture is random event.
B Probability theory – the section of mathematics studying the connection between functions.
C An event is called impossible in a given trial if it is well known that it does not occur in this trial.
D None of the above.
11. Which of the following statements is true?
A The probability of a sum of pairwise incompatible events is equal to unity.
B The probability of a product of independent events is equal to the probability of one of these events multiplied by the conditional probability of the other, provided that the first has occurred.
C Event A is called independent of event B if the conditional probability of the event A on the condition B is equal to the probability of the event A, i.e. P(A¦B)=P(A)
D None of the above.
12. Which of the following statements is true?
A The probability of a product of independent events is equal to the product of the probabilities of these events.
B The sum of the probabilities of opposite events is equal to zero.
C Event A is called independent of event B if the conditional probability of the event A on the condition B is equal to the probability of the event
D None of the above.
13. A ball is drawn at random from an urn containing 3 yellow and 7 blue balls. What is the probability of drawing a yellow ball?
A 100%
B 0,03%
C 0,3%
D 30%
14. The law of distribution of the discrete random variable X has the form Find the mathematical expectation M(X).
X 1 3 6
pi 0,2 0,3 0,5
A 10
B 3,9
C 4,1
D 2
15. The law of distribution of the discrete random variable X has the form. The mathematical expectation M(X) = 3,2.
X 1 x3 5
pi 0,15 0,4 0,45
A x2= 3
B x2 = 1,5
C x2 = 4
D x2 = 2
26. The indefinite integral is …
A the number
B the set of primitive functions
C the primitive function
D none of the above
Физика
1. Light in ice (n=1.3) will __________________ as it moves into alcohol (n=1.4).
A. quickly
B. slow
C. not change
2. A radio station broadcasts at a frequency of 89.5 MHz. What is the wavelength of these radio waves?
A. 0.298 cm
B. 0.335 cm
C. 2.98 m
D. 3.35 m
3. Which of the following properties of a transverse wave is the distance from one trough to the next?
A. amplitude
B. frequency
C. intensity
D. wavelength
4. Which of the following has the shortest wavelength?
A. green light
B. infared radiation
C. X rays
D. radio waves
5. The law of reflection states that the angle of incidence is _______ the angle of reflection. ####
...
6. ________________ light consists of light waves in a single plane. ####
...
7. As frequency increases, wavelength __________. A. increases
B. remains constant
C. decrease
D. becomes faster
8. Reflection occurs when a wave __________ . A. causes ripples in a pool of water
B. compresses air particles as it travels
C. strikes an object and bounces off of it
D. bends and changes speeds as it travels
9. The __________ is an imaginary line perpendicular to the surface of a medium where a wave strikes it.
A. incidence
B. diffraction grating
C. interference
D. normal
10. __________ occurs when waves bend around a barrier.
A. Reflection
B. Refraction
C. Interference
D. Diffraction
11. Why can't you see your reflection in a brick wall? A. Light rays are reflected in only one direction from the rough surface.
B. Reflection of light from a rough surface is regular reflection.
C. No light is reflected from a brick wall.
D. Light rays are reflected in many directions from the uneven surface.
12. The bending of a light wave as it moves from one medium into another is called __________ .
A. reflection
B. diffraction grating
C. interference
D. refraction
13. The index of refraction is the ration of the speed of light in a vacuum to _____________.####
...
14. If an object absorbs blue light and reflects red, what color will the object appear to be?
A. blue
B. green
C. yellow
D. red
15. Light travels fastest through which of the following materials?
A. diamond
B. glass
C. water
D. air
16. Which is a refracting object that is thicker in the center than it is at the edges?
A. convex lens
B. concave lens
C. convex mirror
17. Which of the following describes a material that allows only some light to pass through?
A. diffuse
B. opaque
C. translucent
D. transparent
18. ________ light is a mixture of ALL colors of light. ####
...
19. A __________ object absorbs all colors that fall upon it. ####
...
20. __________ occurs when the crest of one wave overlaps the trough of another wave.
A. Constructive interference
B. Wave cancellation
C. Amplitude shift interference
D. Destructive interference
21. __________ occurs when the crest of one wave overlaps the crest of another wave.
A. Destructive interference
B. Constructive interference
C. Rarefaction
D. Diffraction
22. Which phenomenon can occur with light, but not with sound?
A. Doppler effect
B. Interference
C. Polarization
D. Refraction
23. The threshold frequency of a photo emissive surface is 7.0 x 1014 hertz. Which electromagnetic radiation, incident upon the surface, will produce the greatest amount of current?
A. Low intensity infrared radiation
B. High intensity infrared radiation
C. Low intensity UV radiation
D. High intensity UV radiation
24. An object .0.80 meter high is placed .20 meter from a converging (convex. lens. If the distance from the image of the lens is .40 meter, the height of the image is?
A. 08 m
B. 16 m
C. 24 m
D. 33 m
25. A diverging (concave) lens can form images that are?
A. Virtual, only
B. Inverted, only
C. Either virtual or real
D. Either inverted or erect
26. A ray of light strikes a plane mirror at an angle of incidence equal to 35 degrees. The angle between the incidence ray and the reflected ray is ___.
A. 45 degrees
B. 60 degrees
C. 70 degrees
D. 80 degrees
27. Compared to the wavelengths of visible light the wavelengths of UV light are
A. Shorter
B. Longer
C. The Same
28. What is the energy of a quantum of light having a frequency of 6.0 x 1014 hertz? (h=6.62 x10-34).
A. 1.6 x 10 -7 J
B. 4.0 x 10-19 J
C. 1.3 x 10 -20 J
D. 5.0 x 10-7 J
29. Experiments performed with light indicate that light exhibits
A. Particle properties, only
B. Wave properties, only
C. Both particle and wave properties
D. Neither particle or wave properties
1. The viscosity of liquids can be compared by observing their ...
A. clarity
B. volume
C. resistance to flow
D. resistance to acceleration
2. In order to increase the speed of flow of oil in a pipeline, the oil shouldbe ...
A. heated
B. cooled
C. expanded
D. compressed
3. Fluid A has a flow rate of 10.5 ml, per secon D. Fluid B has a flow rateof 11.3 ml, per secon D. Compared to fluid A, fluid B is ...
A. more viscous
B. less viscous
C. more dense
D. less dense
4. Use the diagram below to answer the next question.The shape shown here travels through a fluid. This shape would experience the most drag if it were moving in direction ..
| A. 1
B. 2
C. 3
D. 4
5. Steam is injected into tar sand formations to facilitate the extraction ofoil. The oil separates from the sand so that it can be pumped out ofthe groun D. The steam causes the oil to separate from the sandbecause viscosity ...
A. decreases when there is an increase in water content
B. increases when there is an increase in water content
C. increases when there is an increase in temperature
D. decreases when there is an increase in temperature
6. Poiseuille’s equation states that the volume rate of flow through a vessel is inversely proportional to
A. vessel radius
B. blood density
C. pressure gradient
D. blood viscosity
7. The Reynolds number predicts aliasing
A. True
B. False
8. A grid obtained by drawing a series of streamlines and equipotential lines is known as
A. Velocity Net
B. Displacement Net
C. Acceleration Net
D. Flow Net
9. What is a scalar function of space and time such that its negative derivative with respect to any direction gives the fluld velocity in that direction
A. Fluid velocity
B. Fluid acceleration
C. Velocity potential
D. Velocity magnitude
10. What is a scalar function of space and time, such that its partial derivative with respect to any direction gives the velocity component at right angles to this direction
A. Stream function
B. Velocity function
C. Fluid function
D. Velocity potential
11. In an incompressible fluid, which property is constant
A. Density
B. Volume
C. both (A) and (B)
D. Viscosity
12. The kind of Fluid Flow in which various characteristics such as velocity, pressure, density, temperature et C., do not change with time is known as
A. Steady flow
B. Rotational flow
C. Unsteady flow
D. Irrotational flow
13. Flow of liquid through a long pipe of constant diameter at a constant rate is an example for which type of Fluid Flow
A. Rotational flow
B. Steady flow
C. Laminar flow
D. Turbulent flow
14. When the velocity of fluid does not change in the flowing fluid, for any given instant of time, the flow is said to be
A. Uniform
B. Steady
C. Laminar
D. Rotational
15. If the fluid particles while moving in the direction of flow rotate about their mass centers then, the flow is said to be
A. Laminar
B. Turbulent
C. Rotational
D. NonUniform
16. In which type of Fluid Flow, the fluid particles move in an entirely haphazard or disorderly manner during its flow
A. Turbulent flow
B. Laminar flow
C. Unsteady flow
D. Rotational flow
17. 1. If Young’s modulus for a material is zero, then the state of material should be
A. Solid
B. Solid but powder
C. Gas
D. None of the above
18. The liquid meniscus in capillary tube will be convex, if the angle of contact is
A. Greater then 900
B. Less then 900
C. Equal to 900
D. Equal to 00
19. Modulus of rigidity of a liquid
A. Non zero constant
B. Infinite
C. Zero
D. Can not be predicted
20. If two glass plates are quite nearer to each other in water, then there will be force of
A. Attraction
B. Attraction or repulsion
C. Repulsion
D. None of the above
21. Which of the fact is not due to surface tension
A. Small mercury drop itself becomes spherical
B. A liquid surface comes at rest after stirring
C. Mercury does not wet the glass vessel
22. The surface tension of a liquid
A. Increases with area
B. Decreases with area
C. Increases with temperature
D. Decreases with temperature
2 C. When a drop of water is dropped on oil surface, then.
A. It will mix up with oil
B. It spreads in the from of a film
C. It will deform
D. It remains spherical
24. Small liquid drops assume spherical shape because.
A. Atmospheric pressure exerts a force on a liquid drop
B. Volume of a spherical drop is minimum
C. Gravitational force acts upon the drop
D. Liquid tends to have the minimum surface area due to surface tension
25. Surface tension is due to
A. Frictional forces between molecules
B. Cohesive forces between molecules
C. Adhesive forces between molecules
D. Gravitational forces
26. The mathematical statement of the Fluid Flow based on the principle of conservation of mass is known as
A. Bernoulli’s equation
B. Continuity equation
C. Euler equation
D. none of the above
1. Electric charges cannot move well through ____________. ####
...
2. Charge is measured in ____________. ####
...
3. Electric charges can move freely in ____________. ####
...
4. Field lines are _______to the electric field vector at any point. ####
...
5. An electric field exists around _________________object. ####
...
6. A _________current is produced when 460
C of charge goes by in 20 seconds. ####
...
7. Current is measured in ________________. ####
...
8. A/An __________is a charged atom. ####
...
9. The units for resistance are _____________. ####
...
10. A magnetic field exists around any wire that carries a __________. ####
...
11. A piece of wire has a resistance of 16 Omega Another wire made from the same metal has four times the length and twice the cross-sectional are A. What is the resistance of the wire?
А. 96 Omega
В. 8 Omega
С. 128 Omega
D. 32 Omega
12. Why can birds stand on an overhead transmission line without suffering any harm?
A. Their feet are very goo dinsulators.
B. There is no potential difference between their feet.
C. Their bo dies have very high resistance.
D. The spaces between their feathers act as insulators.
13. What happens when a positively chargedrod is brought near a piece of paper?
A. The rodcauses a break down of air molecules between the rod and the paper.
B. The rodcauses a distortion of the charge distribution in the paper’s atoms.
C. The rodcauses the paper atom to become ionized.
D. The free electrons in the paper move towards the side nearer the rod.
14. If 50 C of charge flows through a point in an electric circuit in 10 seconds, what is the current passing through that point?
A. 0.2 A
B. 500 A
C. 5 A
D. 60 A
15. A magnet is strongest near the ________.
A. sides of the magnet.
B. centre of the magnet.
C. poles of the magnet.
D. interior of the magnet.
16. An alternating current is passed through a wire stretched between the poles of a magnet. Which way will the wire move
| A. right only
B. up only
C. up and down
D. left and right
17. Which of the following actions CANNOT increase the magnetic field strength of an electromagnet with only air within its core?
A. Increasing the current through the coils
B. Increasing the number of turns per unit length
C. Increasing the diameter of the coils
D. Inserting a piece of soft iron into the coils
18. Why does a compass always points to the north?
A. The compass is an electromagnet that is charged by rubbing when the needle is turning.
B. The compass is made of a magnetic material.
C. The compass is a magnet with the pointer as the north seeking pole.
D. The compass is a magnet with the pointer as the south seeking pole.
19. A neutral balloon is rubbed with a piece of wool cloth. As a result, the balloon has a negative static charge. Which of the following statements best explains why the balloon has a negative charge?
A. The balloon is a conductor.
B. The balloon is an insulator.
C. The balloon transfers charges to the cloth.
D. The balloon receives charges from the cloth.
20. What is the waveform period difference between the 60 Hz electricity used in USA and the 50 Hz used in Europe?
A. 16 ms
B. 4 ms
C. 20 ms
D. 3 ms
21. The diagram shows a voltmeter adapted to measure a range from 0 – 100 mV. The voltmeter is measuring the potential difference in a circuit. What is the reading on the voltmeter? The potential difference between the ends of a conductor is 12V
| A. 0.6 mV
B. 0.06 mV
C. 60 mV
D. 6 mV
22. How long is a meter stick?
A. 36 inches
B. 100 mm
C. 10 cm
D. 100 cm
E. 1000 cm
23. If T is directly proportional to L, then a plot of T vs L should be
A. a parabola.
B. a circle.
C. a curve that is concave upward.
D. a curve that is concave downward.
E. a straight line passing through the origin.
24. In the laboratory, the speed of sound is measured to be 344 meters per second, different from the actual value of 343 meters per second. What is the percent error in the measurement?
A. 1%
B. 0.1%
C. 10%
D. 3%
E. 0.3%
25. If a waveform period is determined to be 10 microseconds in duration, what is the frequency of the signal?
A. 1000 Hz
B. 100 Hz
C. 10 kHz
D. 100 kHz
26. A sine wave reaches maximum positive voltage at:
A. 360°
B. 0°
C. 90°
D. –90°
27. Power companies supply ac, not dc, because:
A. it is easier to transmit ac
B. there are not enough batteries
C. there is no longer a need for dc
D. dc is more dangerous
28. What are the two main applications for ac?
A. electric, magnetic
B. direct, pulsating
C. power, information
D. static, dynamic
29. The distance that a signal’s energy can travel in the time it takes for one cycle to occur is called the signal’s:
A. wavelength
B. period
C. amplittde
D. frequency
30. Why is ac current transfer more effective than dc current transfer over long distances?
A. due to very high voltages
B. due to step-up an dstep- down transformers re ducing I-R losses
C. due to the use of ac generators
D. due to the height of power lines
31. What is the name of a device that converts sound waves to electrical waves?
A. an antenna
B. an amplifier
C. a microphone
D. a filter
32. The magnitude that an alternation varies from zero is called its:
A. amplitude
B. altitude
C. attitude
D. polarity
1. Which waves have some electrical properties and some magnetic properties?
A. longitudinal waves
B. transverse waves
C. mechanical waves
D. electromagnetic waves
2. Electromagnetic waves can transfer energy without a(n)
A. medium.
B. electric field
C. magnetic field
D. change in either a magnetic or an electric field
3. Light that has passed through a polarizing filter is called
A. transverse light.
B. polarized light.
C. white light.
D. photoelectric light.
4. In a vacuum, all electromagnetic waves have the same
A. wavelength.
B. frequency.
C. speed
D. amplitude.
5. Visible light has a higher frequency than
A. X-rays.
B. ultraviolet rays.
C. infrared rays.
D. gamma rays.
6. The range of electromagnetic waves placed in a certain order is called the
A. electromagnetic spectrum.
B. electromagnetic wavelength.
C. electromagnetic frequency.
D. electromagnetic field
7. The electromagnetic waves with the highest frequencies are called
A. radio waves.
B. gamma rays.
C. X-rays.
D. visible light.
8. When a police officer uses radar for speed control, the officer is using what kind of electromagnetic waves?
A. radio waves
B. gamma rays
C. ultraviolet rays
D. X-rays
9. Visible light can be separated into various colors to form a(n)
A. spectrum.
B. thermogram.
C. MRI.
D. X-ray picture.
10. Which type of light bulb glows when a filament inside it gets hot?
A. incandescent
B. fluorescent
C. sodium vapor
D. neon
11. Which light bulbs are coated on the inside with a powder?
A. incandescent
B. fluorescent
C. neon
D. sodium vapor
12. If something vibrates one million times per second, it has a frequency of
A. 1 hertz.
B. 10 hertz.
C. 1 megahertz.
D. 1 kilohertz.
13. FM signals travel as changes in
A. the speed of the wave.
B. the amplitude of the wave.
C. the frequency of the wave.
D. the loudness of the wave.
14. What kind of waves do cellular telephones use to transmit and receive signals?
A. gamma rays
B. microwaves
C. ultraviolet rays
D. infrared rays
15. What is transferred by electromagnetic waves?
A. sound
B. electricity
C. electromagnetic radiation
D. resonance
16. About how much faster than sound are electromagnetic waves?
A. ten times faster
B. one million times faster
C. one hundred times faster
D. one thousand times faster
17. Which electromagnetic waves have the longest wavelengths and lowest frequencies?
A. infrared waves
B. radio waves
C. ultraviolet rays
D. gamma rays
18. On AM broadcasts, what remains constant?
A. the amplitude
B. the music
C. the frequency
D. the speech
19. Which of the following is true of ultraviolet rays?
A. They are visible.
B. They carry information to televisions and radios.
C. They help your body produce vitamind.
D. They provide the energy that makes your morning toast.
20. An instrument used to view different colors of light produced by each type of light bulb is called a(n)
A. thermogram.
B. spectroscope.
C. radar gun.
D. MRI machine.
21. A packet of light energy is called a
A. wavicle.
B. photon.
C. wave.
D. photoelectron.
22. The speed of an electromagnetic wave is equal to
A. wavelength plus frequency.
B. wavelength times frequency.
C. wavelength divided by frequency.
D. frequency divided by wavelength.
23. Cell phone signals are transmitted by
A. radio waves.
B. infrared rays.
C. ultravioletrays.
D. X-rays.
24.Which of the following colors of visible light has the lowest energy?
A. blue
B. green
C. red
D. yellow
25. What is the direction of the magnetic field produced by electrons moving along a straight wire?
A. in the same direction as the electron flow
B. opposite the direction of the electron flow
C. circling around the wire
D. outward in all directions from the wire
26. How are electromagnetic waves affected as the frequency of the waves increases?
A. energy and wavelength increase
B. energy and wavelength decrease
C. energy decreases, wavelength increases
D. energy increases, wavelength decreases
1. The SI system of fundamental units includes:
A.The foot, pound, and second.
B.The meter, kilogram, and second.
C.The meter, liter, and second.
D.The foot, quart, and second.
2.Which ones are scalar? I. Distance II. Velocity III. Speed V.Displacement V.Acceleration
A.I and III
B.I, III and V
C.III and V
D.I and V
3. Which factor(s) is (are) NOT vector quantities?I.Power II.Velocity III.WorkIV.DisplacementV.Acceleration
A.I, III, and IV
B.III
C.III and IV
D.I and III
4.A tire complete 5 radians’ rotation in 1 second. How many rotations does it complete in 5 second?
A.10π
B.25π
C.10/π
D.25/(2π)
5.The unit of an elastic modulus can be:
A.N/m
B.kgm/s2
C.(N)(s)/m
D.(N)(kg)/ms2
6. Fluid flows from left to right in this pipe/ where is the greatest pressure
| A.A
B.B
C.C
D.Same in all sections
7.Fluid flows from left to right in a pipe system such that the velocity at A is four times the velocity at B. What is the radio of the diameter at A to the diameter at B
| A.1:2
B.1:4
C.1:3
D.1:1.5
8. Surface tension:I.Results from adhesion forcesII.Results from cohesion forcesIII.Is involved in capillary actionIV.Varies indirectly with surface area
A.I, II, and IV
B.I and III
C.II and III
D.II, III, and IV
9. The viscosity of a fluid:I.Opposes fluid flowII.Depends on the distance between fluid layersIII.Depends on shear stressIV.Depends on turbulent flow of fluidV.Is given in units of pascal second
A.I, II, IV and V
B.I, III, IV and V
C.I, II, III, IV and V
D.I, II, III, and V
10. which statement does NOT describe turbulent fluid flow?
A.When flow rate exceeds a critical velocity, laminar flow can become turbulent
B.Turbulence varies indirectly with viscosity
C.A Reynolds number > 2000 describes turbulence
D.None of the above because all are true statements
11. In all isochoric processes, which equation is true?
A.ΔU = 0
B.ΔS = 0
C.W = 0
D.P = 0
12. When a liquid X is frozen, its entropy:
A.Increases
B.Decreases
C.Stays the same
D.Cannot be determined
13. which statement accurately describes conductors?
A.They have no free electrons
B.They have relatively few electrons whose number depends on specimen temperature
C.They exert electrostatic forces on one another
D.They have some electrons that are relatively mobile
14.Which statement accurately describes electric dipoles?
A.They are found in electrically neutral objects
B.They are vectors
C.They are diverted from negative to positive centers of charge
D.All of the above are correct statements
A.Is the force acting on a negative test charge
B.Has a magnitude equal to the force on a charge divided by the magnitude of the charge
C.Is the force acting on a positive test charge
D.Is B and C
16. What are the units of the volt?
A.N/C
B.N/W
C.W/C
D.J/C
17. if the electric field in a region is 0, the potential is:
A.0
B.Constant
C.Proportional to r
D.Proportional to q
A.Is two insulating surfaces separated by a conductor
B.Is two conducting surfaces separated by an insulator
C.Does not maintain charge separation
D.Has a capacitance that relates surface area to voltage
19. three capacitors are connected in parallel. The equivalent capacitance is:
A.Less than if the capacitors were connected in series
B.Equivalent to the average capacitance of the three capacitors
C.Greater than the capacitance of any of the three single capacitors
D.None of the above
20. which statement about magnetism is NOT correct?
A.A magnetic force is produced whenever a charged particle moves within a magnetic field
B.The direction of the magnetic force is perpendicular to both the velocity and magnetic field
C.A charged particle forced into circular motion by a magnetic field changes speed
D.Both A and C are incorrect
21. if the internal energy of a system decreases, which phenomenon can explain this finding?
A.A gas is adiabatically expanded
B.A gas is compressed by an outside force
C.A liquid is converted to a gas
D.Work is done on the system
22. consider the statement: “Direct contact is not needed for heat transfer.” Which processes are consistent with this statement?I.ConductionII.ConvectionIII.RadiationIV.SublimationV.Evaporation
A.I, II, III, IV and V
B.II, IV and V
C.III, IV and V
D.II, III, IV and V
23. which law of thermodynamics explains the irreversibility of most processes?
A.Fist law
B.Second law
C.Third law
D.Fourth law
24. during an adiabatic expansion, which statement is true?
A.Internal energy decreases
B.Work decreases
C.Heat is removed from the system
D.Gibbs’ free energy decreases
25. the electric field inside a conductor is:
A.Zero
B.Dependent on the charge of the conductor
C.Dependent on the radius of the conductor
D.Variable
26. the potential difference between two points can be determined by:
A.Knowing the relative potential at each point
B.Knowing the electric field magnitude, direction, and the distance between the points
C.Knowing the potential at one point and the difference in position between the points
D.Both A and B
27. if circular loop of wire is moved toward and just in front of a vertical plane with a uniform magnetic field directed into it, what is the direction of the induced current in that loop and the reason for that specific direction?
A.Clockwise on the loop as predicted by Lenz’s law
B.Clockwise on the loop as predicted by Faraday’s law
C.Counterclockwise on the loop; Lenz’s law
D.Counterclockwise on the loop; Faraday’s law
28. when light enters a medium of refractive index greater than air, which element decreases?
A. ƒ
B. λ
C. ƒ, λ
D. c, ƒ
29. Light travels 1.24 ×108m/s in a diamond. What is the index of a diamond?
A. 0.33
B. 1.67
C. 2.33
D. 2.42
30. An object is placed between the center of curvature and the focal point of a concave mirror. The image is:
A. Real, inverted, enlarged
B. irtual, upright, enlarged
C. Real, upright, reduced
D. Virtual, inverted, reduced
31. For convex mirrors, images are always:
A. Diminished, upright, virtual
B. Enlarged, upright, virtual
C. Diminished, inverted, real
D. Enlarged, inverted, real
32. As an object is moved from a great distance toward the focal point of a concave mirror, the image moves from:
A. A great distance toward the focal point and is always real
B. The focal point toward a great distance from the mirror and is always real
C. The focal point to a great distance and is always virtual
D. The focal point to a position immediately adjacent to the mirror and is always real
33. A lens of focal length -50 cm has what power in diopters?
A. -50
B. -2
C. +5
D. +20
34. An instrument has two strings. Both have the same length and are uniform. One of the strings is under twice as much tension and has twice the mass of the other. The strings are plucked. Which statement is true?
A. Both strings have the same wave velocity.
B. The string with greater mass and tension has greater velocity.
C. The string with lesser mass and tension has lesser velocity.
D. None of the statements are true.
35. A periodic simple harmonic oscillator is given by: y=3sin(πt) meters, where t is in seconds. The period of the system is:
A. 2 s
B. 2 Hz
C. 3 m
D. 0.5 s
36. A spring is sent into oscillation. If the displacement of the spring from its equilibrium point is measured over time, what type of relationship would exist between displacement and time?
A. Linear
B. Parabolic
C. Sinusoidal
D. Circular
37. A guitar has two strings that are set into vibration. The frequency of string X is 50 cycles/s. The frequency of string Y is 30 cycles/s. What is the beat frequency of these two strings?
A. 80 cycles/s
B. 20 cycles/s
C. 40 cycles/s
D. 100 cycles/s
38. A whistle blows 10 m from a power sensing device. The intensity of the sound is proportional to:
A. 0.1 m4
B. 0.01 m-2
C. 10 m1
D. 100 m2
39. Sound can travel through many different types of media. Sound travels slowest in:
A. Air
B. Water
C. Iron
D. Granite
