virl39k
Collection
11 items • Updated • 1
answer stringlengths 1 86 | category stringclasses 1
value | qid stringlengths 9 80 | images images listlengths 1 1 | problem stringlengths 33 1.42k | id int64 5.35k 38.8k |
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No | Broader STEM Topics | Processed-230c7c94-2fa8-4ea4-8b39-e66d2dd9ee7b | Suppose that the data below were collected from a sample of gas stations in Indiana. Using the 95% confidence interval for the percentage of all gas stations in Indiana selling E85, would the null hypothesis H0 : p = 0.61 be rejected at the 5% level? (Yes or No)
<image> | 5,348 | |
No | Broader STEM Topics | Processed-c729e2ed-b18e-48e3-b9ca-efaad2be4777 | <image>
A vitamin supplement is purported to increase the short-term memory of those who take it. To determine whether this statement is valid, researchers had a sample of nine individuals take a memory test both with and without the supplement. The test had the participants recite a list of 50 short words right after ... | 5,349 | |
No | Broader STEM Topics | Processed-6617de82-efa8-4d87-afdb-9783d8f695a9 | A regression analysis on a sample of 23 16-ounce cereal box prices (in dollars) and sugar content (in grams) produced the following computer output. The regression equation is: Price = 2.22 + 0.140. Based on the 95% confidence interval for the true slope of the regression line, is the regression significant at the 5% l... | 5,350 | |
7 | Broader STEM Topics | Processed-62b2f939-c4ac-46c2-92c9-0d467eecb107 | <image>
Let $ g(t) = \int_{0}^{t} f(x) , dx $ and consider the graph of $ f $ shown below. Evaluate $ g(6) $.
(Final Answer is a value) | 5,354 | |
2 | Broader STEM Topics | Processed-58f86958-df94-40f4-82ee-ed598b8c6426 | <image>
Let $ g(t) = \int_{0}^{t} f(x) , dx $ and consider the graph of $ f $ shown below. How long is the interval where g concave down? (Final Answer is a value) | 5,355 | |
25.5 | Broader STEM Topics | Processed-b575e3ce-6428-4071-af51-ac525023f7c7 | There is an area $ A $ bounded by the curve and the x-axis. Find the area $ A $ on the interval from $ x = 0 $ to $ x = 4 $ using 8 subdivisions of equal length.
(Final Answer is a value)
<image> | 5,357 | |
1 | Broader STEM Topics | Processed-91c4750d-34a7-4f2b-b2af-64c45e91105f | The figure above represents the function f’ a continuous function, the derivative of f over the interval [-4, 6] and satisfies f(0) = 4. The graph of f’ consists of three line segments and a semi-circle. Evaluate $ \int_{2}^{3} f''(2x)dx $ (Final Answer is a value)
<image> | 5,361 | |
4 | Broader STEM Topics | Processed-e0394de3-d6f9-4a70-b5df-0bdd1c7ecec7 | The function f shown in the graph above has horizontal tangents at (–2,1) and (1,–2) and vertical tangents at (–1,0) and (3,0). For how many values of x in the interval (–5,5) is the function not differentiable? (Final Answer is a value)
<image> | 5,364 | |
Yes | Broader STEM Topics | Processed-0d792aa0-3433-4fb6-a1f4-1550fcb5f920 | As shown in the diagram above, A block is initially pressed against a massless spring on a frictionless surface. The block reaches a maximum height h before it slides back down the curved ramp. Two AP physics students are discussing the role that energy and systems serve in this scenario. At different points in their d... | 5,379 | |
0.12 | Broader STEM Topics | Processed-c10f7b0f-ba39-4704-805e-0123132cb1e4 | <image>
The graph above shows the changes in pressure with changing temperature of gas samples of helium and argon confined in a closed 2-liter vessel. How many moles of helium are contained in the vessel? (Final Answer is a value) | 5,398 | |
B | Broader STEM Topics | Processed-95b33650-5c32-4ffa-a506-0b83ba1d977b | The table shows values of $f'$, the derivative of function $f$. Although $f'$ is continuous over all real numbers, only selected values of $f'$ are shown. If $f'$ has exactly two real zeros, then $f$ is increasing over which of the following intervals?
A. $ 1<x<5 $
B. $x<1$ or $x>5$
C. $x > 5$ only
D. $x > 1$
E. $x > ... | 5,446 | |
E | Broader STEM Topics | Processed-fabde8f1-9924-4042-b277-e9ef7928556d | <image>
Shown is a graph of $f''$, the second derivative of function $f$. The curve is given by the equation $f'' = (x - a)^2 (x - d)$. The graph of $f$ has inflection points at which values of $x$?
A. b only
B. c only
C. a and d
D. a and c
E. d only | 5,447 | |
B | Broader STEM Topics | Processed-48603323-f523-4ecf-9423-7fa904ddd038 | Shown in the diagram is a graph of $f'$, the derivative of function $f$. If $f(3) = 3$, then $f(1)=$?
A. \frac{10}{3}
B. \frac{13}{3}
C. -\frac{5}{3}
D. 4
E. 6
<image> | 5,448 | |
C | Broader STEM Topics | Processed-290b441d-0ddd-4db2-a325-e8b24d9e196a | Shown above is a slope field for which of the following differential equations?
A. $\frac{dy}{dx} = \frac{x}{y}$
B. $\frac{dy}{dx} = xy$
C. $\frac{dy}{dx} = x + y$
D. $\frac{dy}{dx} = x - y$
<image> | 5,452 | |
B | Broader STEM Topics | Processed-9f433223-3d2b-40d3-b3de-99e91e85601a | The table above gives selected values for the twice-differentiable function f. In which of the following intervals must there be a number c such that $f'(c) = -2$.
A. (0,2)
B. (2,4)
C. (4,6)
D. (6,8)
<image> | 5,454 | |
B | Broader STEM Topics | Processed-25e7e416-1dc8-4d47-a1c2-2a6d3a01fd93 | The table above gives values of a differentiable function $f(x)$ at selected $x$ values. Based on the table, which of the following statements about $f(x)$ could be false?
A. There exists a value $c$, where $-5 < c < 3$ such that $f(c) = 1$
B. There exists a value $c$, where $-5 < c < 3$ such that $f'(c) = 1$
C. There... | 5,457 | |
B | Broader STEM Topics | Processed-eaa0ac21-f306-4209-94f0-6f828dacd5bb | Sixty pairs of measurements were taken at random to estimate the relation between variables X and Y. A least squares regression line was fitted to the collected data. The resulting residual plot is as follows. Which of the following conclusions is appropriate?
A. A line is an appropriate model to describe the relation... | 5,474 | |
B | Broader STEM Topics | Processed-708e9b39-d0fb-4ca6-b895-0a3712ef655c | <image>
Given that the analysis is based on 10 datapoints, what is the P-value for the t-test of the hypothesis $H_0 : \beta = 0$ vesus $H_A : \beta ≠ 0$.
A. 0.02 < P < 0.03
B. 0.20 < P < 0.30
C. 0.01 < P < 0.05
D. 0.15 < P < 0.20
E. 0.10 < P < 0.15 | 5,476 | |
A | Broader STEM Topics | Processed-c2c7d870-42b5-48a5-9a3a-64aa21b519b2 | If three fair coins are flipped, P(0 heads) = 0.125, P(exactly 1 head) = 0.375, P(exactly 2 heads) = 0.375, and P(exactly 3 heads) = 0.125. The following results were obtained when three coins were flipped 64 times. What is the value of the X2statistic used to test if the coins are behaving as expected, and how many de... | 5,477 | |
C | Broader STEM Topics | Processed-ae1be392-dbf7-4548-86c7-36c368e42aaa | Thirteen large animals were measured to help determine the relationship between their length and their weight. The natural logarithm of the weight of each animal was taken and a least-squares regression equation for predicting weight from length was determined. The computer output from the analysis is given below. Give... | 5,479 | |
E | Broader STEM Topics | Processed-385cf1ae-e3d8-48a9-a08a-27ca33b141d4 | You are developing a new strain of strawberries (say, Type X) and are interested in its sweetness as compared to another strain (say, Type Y). You have four plots of land, call them A, B, C, and D, which are roughly four squares in one large plot for your study (see the figure below). A river runs alongside of plots C ... | 5,482 | |
B | Broader STEM Topics | Processed-4aaefd9b-c299-4884-a5af-df836ff001c6 | <image>
The table above shows the regression output for predicting the number of calories from the number of milligrams of sodium for items at a fast-food chain. What percent of the variation in calories is explained by the regression model using sodium as a predictor?
A. 7.36%
B. 54.2%
C. 53.8%
D. 73.4%
E. 73.6% | 5,484 | |
D | Broader STEM Topics | Processed-1c0406cc-3515-47ba-be43-821f7a7b2f0e | <image>
Researchers were gathering data on alligators in an attempt to estimate an alligator's weight from its length. They captured 29 alligators and measured their length and weight. They created three regression models. Each model, along with its residual plot, is shown below. yrepresents the weight in pounds and xr... | 5,487 | |
B | Broader STEM Topics | Processed-def0eb7d-c5ec-4e45-b460-bf81483a9d2f | In American football, the running back carries the football forward in a quest to score points. Many people create fantasy football teams by selecting players as their "team." These fans analyze data to judge which players are outstanding. The following regression output analyzes the linear relationship between the num... | 5,489 | |
C | Broader STEM Topics | Processed-15d5e4c3-262e-474e-a040-f68c1d7d7a55 | The position of a particle, s, is given above for 0 ⤠t ⤠10. On what interval(s) is the particle slowing down?
A. 2 ⤠t ⤠6
B. 0 ⤠t ⤠4
C. 0 ⤠t ⤠2 UU 4 ⤠t ⤠6
D. 2 ⤠t ⤠6 U 6 ⤠t ⤠10
<image> | 5,504 | |
B | Broader STEM Topics | Processed-a57cf74b-eedd-469a-8f8a-29110fb4fbe8 | Question: 41
For the probability density curve below, which of the following statements is true?
I. The area is exactly 1 underneath it.
II. It does not model the distribution of the data.
III. It is a function that is always positive.
A. I only
B. I and III only
C. II and III only
D. II only
E. III only
<ima... | 5,516 | |
D | Broader STEM Topics | Processed-815e1ae4-2371-4ee5-a599-bf3e4a98a026 | Question: 42
Why is the following not an example of a valid probability density curve?
A. Because the curve does not follow a normal distribution
B. Because such a function is by definition either constantly positive or negative
C. Because such a function has to have at least two maximum values and one minimum value... | 5,517 | |
D | Broader STEM Topics | Processed-6834f1cb-bf06-47c3-8e28-2942068df7c5 | Question: 75
In the scatter plot, how could the data be transformed in order to do a linear regression?
A. By squaring each data point y-value
B. By taking the natural logarithm of each data point y-value
C. By raising each data point y-value to the base 10
D. By taking the square root of each data point y-value
E. ... | 5,530 | |
C | Broader STEM Topics | Processed-9cae3aae-cca5-40c9-afb7-8907b08fec20 | Question: 79
From the regression output below, which type of variation does R-squared (R-Sq) pertain to?
A. Total variation
B. Unexplained variation
C. Explained variation
D. Least squares variation
E. Error variation
<image> | 5,532 | |
C | Broader STEM Topics | Processed-6b6e431f-f0c0-4241-b48c-086a9217c48a | Question: 95
Compare the two datasets below. Which statements are true?
I. Absences are a better predictor of the final grade.
II. The sum of the residuals is the same for both.
III. The unexplained variation in the final is much greater than in the midterm.
A. I only
B. I and III only
C. I and II only
D. II o... | 5,539 | |
A | Broader STEM Topics | Processed-4a1ca62d-215b-4ede-9f56-6d9e8a725370 | Question: 109
What statement is true about the two models for the dataset?
Correlations: Distress, Brain 1
Pearson correlation of Distress and Brain 1 = 0.878
P-Value = 0.000
A. Under both models, the correlation between the variables is the same.
B. Model II is more appropriate since it has a larger residual error.... | 5,543 | |
C | Broader STEM Topics | Processed-a77dd993-cf5a-40c4-9ee2-54f87b2d3bca | Question: 198
Students in a biomedical statistics course take two tests before a final. The statistics from the first test for three different classes (May, June, and July) are shown. What would be the average and the standard deviation of the sum of the test scores?
A. Mean of the sum: 51. Standard deviation: 10.51... | 5,549 | |
D | Broader STEM Topics | Processed-75afd5ad-1663-42d3-a680-1f556ca10d13 | <image>
Question: 266
In a recent online survey of 1,700 adults, it was revealed that only 17% felt the Internet was secure. With what degree of confidence can you say that 17% ± 2% of adults believe that online security is secure?
A. 72.9%
B. 90%
C. 95%
D. 97.2%
E. 98.6%
| 5,551 | |
C | Broader STEM Topics | Processed-ed2b04ff-edb9-4c3d-be88-f273247e1160 | Question: 283
While weighing five infants in the hospital we found their weights in kilograms to be 3.1, 3.5, 2.8, 3.2, and 3.4. What is a 90% confidence interval estimate of the infants' weights?
A. 3.2 ± 0.202
B. 3.2 ± 0.247
C. 3.2 ± 0.261
D. 4.0 ± 0.202
E. 4.0 ± 0.261
<image> | 5,555 | |
B | Broader STEM Topics | Processed-92b0827c-f98f-4678-90cd-15a6a0d5a505 | <image>
Question: 286
For a 95% confidence interval, you want to create a population proportion with a marginal error of no more than 0.025. How large of a sample would you need?
A. 423
B. 1537
C. 385
D. 2237
E. 1082
| 5,557 | |
A | Broader STEM Topics | Processed-d9db6935-0ff3-47c2-8b76-603ac9adeae7 | <image>
Question: 287
In a random sample of 100 balloons, 30 of them are blue. Construct a 95% confidence interval for the true proportion of the blue balloons.
A. (0.210, 0.399)
B. (0.193, 0.407)
C. (0.165, 0.334)
D. (0.200, 0.380)
E. (0.198, 0.378)
| 5,558 | |
B | Broader STEM Topics | Processed-0b64b123-8bc4-402d-8269-a9c570582f2d | <image>
Question: 325
In a sample of 500 students from statistics courses in the fall semester, 312 earned a grade of C or higher. In the spring semester, 400 of the 525 students sampled earned a grade of C or higher. If we treat the fall semester as "sample 1" and the spring semester as "sample 2," what is the appropr... | 5,559 | |
D | Broader STEM Topics | Processed-bf5863a1-5699-41ae-929f-fbfc47f0dc89 | Question: 340
Which of the following is a correct interpretation of the t-test shown below?
A. There is a statistically significant difference between the means of the variables.
B. There is a statistically significant difference when one is viewing the two-tailed test, but not for the one-tailed test.
C. There is a... | 5,561 | |
A | Broader STEM Topics | Processed-52351467-fc26-475d-8dd9-5dcc25d6f5b3 | Question: 354
A teacher is investigating the relationship between hours spent studying and exam scores (scale 0â100).
Based on the computer output above, in a test of H0 : β = 0 versus Ha : β â 0, which of the following would be correct?
A. Reject H0 concluding that at the 5% level there is a linear relationsh... | 5,562 | |
E | Broader STEM Topics | Processed-4d77070c-e1e6-4ec4-b803-987b27f2885a | Question: 363
A scientist is studying the relationship between the percentage of a particular type of nutrient in the soil and the eventual height of a plant.
The regression equation is: Height = 5.31 + 3.34 Percentage
Which of the following is true?
A. Neither the constant nor the slope are statistically significan... | 5,564 | |
A | Broader STEM Topics | Processed-ef7bc4f1-281a-406c-a21e-c17cb36bfa85 | <image>
Question: 365
As part of a project analyzing the relationship between the square footage of homes and their final sale price in thousands of dollars, a student performed a regression analysis.
The regression equation is: Sale Price = 179 + 0.0289 SqFt
Based on the computer output above, what is the value for... | 5,565 | |
B | Broader STEM Topics | Processed-1797b2ca-715b-452d-a8f1-67eaf42d2d51 | <image>
Question: 399
A student is studying the relationship between the number of hours students work and their final exam scores in statistics courses. A regression analysis resulted in the computer output below.
What is the p-value that should be used to test H0 : β = 0 versus Ha : β > 0?
A. 0
B. 0.146
C. 0.292... | 5,570 | |
B | Broader STEM Topics | Processed-0fc610fb-7253-4296-8de4-3713f3007ffe | <image>
Question: 400
A student is studying the relationship between the number of hours students work and their final exam scores in statistics courses. A regression analysis resulted in the computer output below.
What is the t-test statistic that should be used to test H0 : β = 0 versus Ha : β â 0?
A. -3.22
B.... | 5,571 | |
D | Broader STEM Topics | Processed-97611223-0778-4dd5-b17c-598fd3c66311 | Question: 401
A student is studying the relationship between the number of hours students work and their final exam scores in statistics courses. A regression analysis resulted in the computer output below.
If the student used a sample of 10, which of the following is the 95% confidence interval for the true slope o... | 5,572 | |
A | Broader STEM Topics | Processed-cb56aa70-6111-44e2-98ff-54b4416e0539 | Question: 424
A toy company published an advertisement in the local newspaper of a major city and in a children's magazine to see which medium generated more advertising viewership. A random sample of families was taken, and each family was asked to indicate where they had seen the product's advertisement. The results ... | 5,576 | |
A | Broader STEM Topics | Processed-4c39c367-be44-4c0a-b113-7e5ec3de6705 | Question: 431
A recent study of accident records at a large engineering company in Europe reported the following number of injuries in each shift for one year.
Is there sufficient evidence to say that the number of accidents during the three shifts are not the same? Test at the 0.05, 0.01, and 0.001 levels.
A. There... | 5,579 | |
E | Broader STEM Topics | Processed-54632355-bbe3-4882-9101-5e1bf30c47c7 | Question: 433
A teacher at a community college is expecting that 10% of her class will get an A on their exam, 15% will get a B, 35% will get a C, 25% will get a D, while 15% will get an F. All of the students participated in the exam. The actual values were that 22 students got an A, 18 got a B, 25 got a C, 15 got a D... | 5,581 | |
C | Broader STEM Topics | Processed-ee89c1b1-b38c-4313-8f98-10bba2ff86df | Question: 437
A school class is going on a class trip, and a vote is being taken of where the class wants to go. The school expects that half of the students would want to go to Disney World, while the other half would want to go to visit Washington, DC Despite these expectations, only 42 students wanted to go to Washi... | 5,583 | |
B | Broader STEM Topics | Processed-f702b3fa-3c9d-48f0-973e-fa09a98b3f40 | <image>
The $K_a$ values for three different weak acids are given below. If the acid is polyprotic, all of the $K_a$ values for that acid are given. If each acid were to be titrated with 0.10 M NaOH, which solution would have the highest pH at the endpoint of the titration when each acid has fully reacted?
A. Formic
B.... | 5,652 | |
A | Broader STEM Topics | Processed-ab5f6909-97da-4df3-af6b-8c06743e012f | <image>
Silver sulfate, $Ag_2SO_4$, has a solubility product constant of $1.0 \times 10^{-5}$. The below diagram shows the products of a precipitation reaction in which some silver sulfate was formed.What is the identity of the excess reactant?
A. $AgNO_3$
B. $Ag_2SO_4$
C. $NaNO_3$
D. $Na_2SO_4$ | 5,692 | |
A | Broader STEM Topics | Processed-0a930bc8-9400-4a31-9776-f2f8da6894f8 |
Rank the average velocities of the car in regions A, B, C, and E of the graph above.
A. B > A = C > E
B. B = A > C = E
C. B > A = C = E
D. A > B > C = E
<image> | 5,875 | |
B | Broader STEM Topics | Processed-778ed561-75cf-47e9-942d-dca5d092ca41 |
The wave function of a quantum object vs. position is graphed above. Which of the following correctly ranks the probabilities of observing the particle at the listed positions?
A. P(x = 0.5 m) > P(x = 2.25 m) > P(x = 1.75 m)
B. P(x = 0.5 m) > P(x = 1.75 m) > P(x = 1.25 m)
C. P(x = 3.0 m) > P(x = 1.75 m) > P(x = 2.0 m)... | 5,887 | |
C | Broader STEM Topics | Processed-b3d3cac8-90c2-4ac4-ab84-d1b980aaa3f9 | <image>
Which statement correctly characterizes the work done by the gas during the ABCDA cycle shown in the above P-V diagram?
A. There is no work done by the gas because the system both starts and concludes in state A.
B. There is no work done because the work done during the transition from AâB cancels out the wo... | 5,895 | |
B | Broader STEM Topics | R1OneVision-AAPT-2023-10_11_12-20-Physics-10_11_12 | <image>
Question: Three vector forces F1, F2, and F3 act on a particle that has a
mass of 3.00 kg as shown in in the diagram at right. What is
the particle’s acceleration?
Choices:
A. 9.49 m/s^2 B. 9.59 m/s^2 C. 9.69 m/s^2
D. 9.79 m/s^2 E. 9.89 m/s^2 | 5,922 | |
E | Broader STEM Topics | R1OneVision-AAPT-2017-10_11_12-43-Physics-10_11_12 | <image>
Question: A semi-circle has radius R, total charge Q, and a charge per unit length given as \lambda=\lambda_0 cos\theta with \theta defined in the figure and \lambda_0 a positive constant. Which one of the following choices gieves the electric field strength at the point labeled P?
A. 0
B. 2 k_e \lambda_0 \ove... | 5,959 | |
E | Broader STEM Topics | R1OneVision-AAPT-2016-10_11_12-37-Physics-10_11_12 | <image>
Question: A string is connected to a mechanical oscillator on one end and to a cube-shaped mass, M = 8.0 kg , at the other end as shown. The oscillator vibrates the string with a frequency of f producing the standing wave in the figure on the left. When the mass is submerged completely in water, the string v... | 5,968 | |
E | Broader STEM Topics | R1OneVision-AAPT-2015-10_11_12-25-Physics-10_11_12 | <image>
Question: A gas undergoes the unusual process M→N in the pressure vs. volume graph shown. Which one of the following choices properly represents the signs of the internal energy change of the gas, \Delta U, the total energy transferred as heat to the gas, Q, and the total work done on the gas by the surround... | 5,974 | |
A | Broader STEM Topics | R1OneVision-AAPT-2015-10_11_12-34-Physics-10_11_12 | <image>
Question: An upward-pointing object is placed 15.0 cm to the left of a lens system. The first lens is convex with focal length
10.0 cm. The second lens is convex with focal length 10 cm
and its location from the first lens is varied from 10 cm away
to 110 cm away. Which one of the following choices best ... | 5,977 | |
D | Broader STEM Topics | R1OneVision-AAPT-2014-10_11_12-22-Physics-10_11_12 | <image>
Question: For the circuit shown, all three light bulbs have the same resistance. The battery and wires have no resistance. What is the proper ranking of the bulbs’ brightness?
A. Bulb 1 = Bulb 2 = Bulb 3
B, Bulb 3 < Bulb 2 = Bulb 1
C. Bulb 2 < Bulb 1 < Bulb 3
D. Bulb 1 = Bulb 2 < Bulb 3
E. Bulb 1 = Bul... | 5,986 | |
A | Broader STEM Topics | R1OneVision-AAPT-2014-10_11_12-36-Physics-10_11_12 | <image>
Question: A concave mirror with focal length f is shown in the figure. A real object now is placed to the left of the mirror. In theory, which one of the following choices best describes everywhere that it is impossible for an image to form from the mirror?
A. Region II only.
B. Regions II and III only. ... | 5,989 | |
C | Broader STEM Topics | R1OneVision-AAPT-2013-10_11_12-42-Physics-10_11_12 | <image>
Question: An object of mass 12M is at rest when it suddenly explodes into 3 pieces with masses 3M, 4M and 5M .The piece of mass 3M moves with speed in the direction shown in the diagram. What is the speed of the piece with mass 5M knowing that it is moving directly to the right?
A. V
B. {3\sqrt 2 \over 20}V... | 6,004 | |
C | Broader STEM Topics | R1OneVision-AAPT-2013-10_11_12-45-Physics-10_11_12 | <image>
Question: The switch in the RC circuit shown is closed at time . All circuit elements are ideal and R=10.0\Omega , C=2.20 F and \xi=12.0 V. The capacitor is initially uncharged. How long after the switch is closed is the voltage across the capacitor three times as large as the voltage across the resist... | 6,005 | |
A | Broader STEM Topics | R1OneVision-AAPT-2012-10_11_12-31-Physics-10_11_12 | <image>
Question: Three particles with charges Q, Q and Q_2 are initially at rest very (infinitely) far apart from one another. The particles are moved to the locations shown in the figure where they are fixed in place. The particles on the left and right have charge Q and are separated by a distance R. The partic... | 6,012 | |
C | Broader STEM Topics | R1OneVision-ACS-2014-9_10_11_12-52-Chemistry-9_10_11_12 | <image>
Question: When 1.0 mole of H_2O_2 decomposes to form H_2O and O_2, 103 kJ of energy is released. Given the bond energies below, what is the bond energy of the O–O single bond in H_2O_2?
Choices:
A. +395 kJ·mol^{–1}
B. +249 kJ·mol^{–1}
C. +146 kJ·mol^{–1}
D. +103 kJ·mol^{–1} | 6,065 | |
C | Broader STEM Topics | R1OneVision-GRE-physics-1-college-1-Physics-college | <image>
Question: Which of the following best illustrates the acceleration of a pendulum bob at points a through e ?
Choices:
A
B
C
D
E | 6,208 | |
E | Broader STEM Topics | R1OneVision-GRE-physics-1-college-12-Physics-college | <image>
Question: A spherical, concave mirror is shown in the figure above. The focal point F and the location of the object O are indicated. At what point will the image be located?
Choices:
A. \Rmnum{1}
B. \Rmnum{2}
C. \Rmnum{3}
D. \Rmnum{4}
E. \Rmnum{5} | 6,211 | |
C | Broader STEM Topics | R1OneVision-GRE-physics-1-college-26-Physics-college | <image>
Question: A thin uniform rod of mass M and length L is positioned vertically above an anchored frictionless pivot point, as shown above, and then allowed to fall to the ground. With what speed does the free end of the rod strike the ground?
Choices:
A. \sqrt{\frac{1}{3}gL}
B. \sqrt{gL}
C. \sqrt{3gL}
D. \sqrt{1... | 6,214 | |
D | Broader STEM Topics | R1OneVision-GRE-physics-1-college-40-Physics-college | <image>
Question: In the circuit shown above, the switch S is closed at t = 0. Which of the following best represents the voltage across the inductor, as seen on an oscilloscope?
Choices:
A
B
C
D
E | 6,216 | |
C | Broader STEM Topics | R1OneVision-GRE-physics-1-college-42-Physics-college | <image>
Question: Three wire loops and an observer are positioned as shown in the figure above. From the observer’s point of view, a current I flows counterclockwise in the middle loop, which is moving towards the observer with a velocity u . Loops A and B are stationary. This same observer would notice that
Choices:
... | 6,217 | |
C | Broader STEM Topics | R1OneVision-GRE-physics-1-college-52-Physics-college | <image>
Question: The conventional unit cell of a body-centered cubic Bravais lattice is shown in the figure above. The conventional cell has volume a3 . What is the volume of the primitive unit cell?
Choices:
A. \frac{a^{3}}{8}
B. \frac{a^{3}}{4}
C. \frac{a^{3}}{2}
D. a^{3}
E. 2 a^{3} | 6,218 | |
B | Broader STEM Topics | R1OneVision-GRE-physics-1-college-53-Physics-college | <image>
Question: Which of the following best represents the temperature dependence of the resistivity of an undoped semiconductor?
Choices:
A
B
C
D
E | 6,219 | |
A | Broader STEM Topics | R1OneVision-GRE-physics-1-college-57-Physics-college | <image>
Question: A stream of water of density r, cross-sectional area A, and speed u strikes a wall that is perpendicular to the direction of the stream, as shown in the figure above. The water then flows sideways across the wall. The force exerted by the stream on the wall is
Choices:
A. \rho v^{2}A
B. \frac{\rho v... | 6,220 | |
E | Broader STEM Topics | R1OneVision-GRE-physics-2-college-magnetism-PartA-3-Physics-college | <image>
Question: As shown in the figure, the current splits into two symmetric circular paths from point a and converges at point b. If ca and bd are both along the radial direction of the ring, then the magnetic induction at the center of the circular path is
Choices:
A. The direction is perpendicular to the plane of... | 6,221 | |
B | Broader STEM Topics | R1OneVision-GRE-physics-2-college-magnetism-PartA-8-Physics-college | <image>
Question: As shown in the figure, in the plane of a circular current I, if a concentric circular closed loop L is selected, then according to Ampere's circuital law, it follows that
Choices:
A. \(\oint_{L}\vec{B} \cdot d\vec{l} =0\), and at any point on the loop \(B = 0\)
B. \(\oint_{L}\vec{B} \cdot d\vec{l} ... | 6,223 | |
C | Broader STEM Topics | R1OneVision-GRE-physics-2-college-magnetism-PartA-39-Physics-college | <image>
Question: As shown in the figure, when a parallel plate capacitor (ignoring edge effects) is charging, the circulation of the magnetic field strength \vec{H} along loop L_1 and the circulation of the magnetic field strength \vec{H} along loop L_2 must satisfy:
Choices:
A. \(\oint_{L_1} \vec{H} \cdot d\vec{l}' >... | 6,224 | |
D | Broader STEM Topics | R1OneVision-GRE-physics-2-college-electricity-PartA-6-Physics-college | <image>
Question: A point charge Q is enclosed by a surface S, and another point charge q is brought to a point outside the surface from infinitely far away, as shown in the figure. Before and after bringing it in:
Choices:
A. The electric field flux through surface S remains unchanged, and the field strength at each p... | 6,225 | |
A | Broader STEM Topics | R1OneVision-GRE-physics-2-college-electricity-PartA-12-Physics-college | <image>
Question: As shown in the figure, there are two concentric uniformly charged spherical surfaces. The inner surface carries charge Q_1, and the outer surface carries charge Q_2. Then at point P, which is between the two surfaces and at a distance r from the center, the magnitude of the electric field E is:
Choic... | 6,226 | |
A | Broader STEM Topics | R1OneVision-GRE-physics-2-college-electricity-PartA-13-Physics-college | <image>
Question: As shown in the figure, two "infinitely long" coaxial cylindrical surfaces with radii R1 and R2 are uniformly charged, with the charge per unit length along the axis being \lamda_1 and \lamda_2, respectively. The magnitude of the electric field intensity E at point P, which is outside the outer cylind... | 6,227 | |
A | Broader STEM Topics | R1OneVision-GRE-physics-2-college-electricity-PartA-14-Physics-college | <image>
Question: If the uniform electric field strength is \(\vec{E}\), and its direction is parallel to the axis of a hemisphere with radius \(R\), as shown in the figure, then the electric flux \(\Phi_e\) through this hemisphere is
Choices:
A. \(\pi R^{2}E\)
B. \(2\pi R^{2}E\)
C. \(\frac{1}{2} \pi R^{2}E\)
B. ... | 6,228 | |
C | Broader STEM Topics | R1OneVision-GRE-physics-2-college-electricity-PartA-23 -Physics-college | <image>
Question: As shown in the figure, there are two concentric uniformly charged spherical surfaces. The inner spherical surface has a radius of \( R_1 \) and charge \( Q_1 \), while the outer spherical surface has a radius of \( R_2 \) and charge \( Q_2 \). Assuming the electric potential at infinity is zero, the ... | 6,229 | |
B | Broader STEM Topics | R1OneVision-GRE-physics-2-college-electricity-PartA-26-Physics-college | <image>
Question: The potential at point P, located at a distance r from the center O inside a sphere of radius R uniformly charged with Q, with a point charge q at the center O, as shown in the figure, is given that the potential at infinity is zero.
Choices:
A. \(\frac{q}{4\pi \varepsilon_0 r}\)
B. \(\frac{1}{4\pi ... | 6,230 | |
B | Broader STEM Topics | R1OneVision-GRE-physics-2-college-electricity-PartA-37-Physics-college | <image>
Question: An "infinitely large" uniformly charged plane A is placed near a parallel "infinitely large" conductor plate B with a certain thickness, as shown in the figure. Given that the surface charge density on A is +\(\sigma\), the induced surface charge densities on the two surfaces 1 and 2 of conductor plat... | 6,231 | |
10 cm | Broader STEM Topics | R1OneVision-GRE-physics-2-college-electricity-PartB-11-Physics-college | <image>
Question: As shown in the figure, there are two concentric charged spheres. The inner sphere has a radius of r1 = 5 cm and a charge of q1 = 3×10^{-8} C. The outer sphere has a radius of r2 = 20 cm and a charge of q2 = -6×10^{8} C. Assuming the electric potential at infinity is zero, find the radius r of another... | 6,232 | |
\frac{C_{2}C_{3}}{C_1} | Broader STEM Topics | R1OneVision-GRE-physics-2-college-electricity-PartB-43-Physics-college | <image>
Question: As shown in the figure, the capacitances C_1, C_2, and C_3 are known, and the capacitance C is adjustable. When adjusted so that the potentials at points A and B are equal, the capacitance C equals | 6,233 | |
B | Broader STEM Topics | R1OneVision-GRE-physics-2-college-optics-PartA-8-Physics-college | <image>
Question: In the double-slit interference experiment, if the distance from the monochromatic light source S to the two slits S_1 and S_2 is equal, then the central bright fringe on the observation screen is located at point O in the figure. Now, if the light source S is moved downward to the position S' shown i... | 6,235 | |
C | Broader STEM Topics | R1OneVision-GRE-physics-2-college-optics-PartA-13-Physics-college | <image>
Question: With the wedge interference method, surface defects of the workpiece can be detected. When monochromatic parallel light of wavelength \(\lambda\) is incident vertically, the observed interference fringes are as shown in the figure. If the vertex of each curved fringe precisely tangentially connects wi... | 6,236 | |
C | Broader STEM Topics | R1OneVision-GRE-physics-2-college-optics-PartA-14-Physics-college | <image>
Question: As shown in the figure, the flat glass and convex lens form a Newton's rings device, fully immersed in a liquid with refractive index n = 1.60. The convex lens can move along OO', with monochromatic light of wavelength \(\lambda = 500 \text{ nm}\) (1 nm = \(10^{-9}\) m) incident vertically. Observing ... | 6,237 | |
D | Broader STEM Topics | R1OneVision-GRE-physics-2-college-optics-PartA-34-Physics-college | <image>
Question: In the single-slit Fraunhofer diffraction setup shown in the figure, assume the diffraction angle range of the central maximum is very small. If the slit width \( a \) becomes \(\frac{3}{2}\) of the original, and the wavelength \( \lambda \) of the incident monochromatic light becomes \(\frac{3}{4}\) ... | 6,238 | |
\(\frac{3}{2}\pi\) | Broader STEM Topics | R1OneVision-GRE-physics-2-college-wave-PartA-8-Physics-college | <image>
Question: The figure shows the waveform of a plane harmonic wave propagating in the negative direction of the x-axis at time t = 0. If the wave is expressed with a cosine function, the initial phase of the particle vibration at point O is:
| 6,240 | |
D | Broader STEM Topics | R1OneVision-GRE-physics-2-college-wave-PartA-12-Physics-college | <image>
Question: The vibration equation of the coordinate origin O is
Choices:
A. y = acos[\frac{u}{b}(t-t')+\frac{\pi}{2}]
B. y = acos[2\pi \frac{u}{b}(t-t')-\frac{\pi}{2}]
C. y = acos[\pi \frac{u}{b}(t+t')+\frac{\pi}{2}]
D. y = acos[\pi \frac{u}{b}(t-t')-\frac{\pi}{2}] | 6,241 | |
C | Broader STEM Topics | R1OneVision-GRE-physics-2-college-wave-PartA-15-Physics-college | <image>
Question: The translation will be:
The graph shows the waveform of a plane harmonic wave at t = 2 s. The vibration equation of the particle at the equilibrium position at point P is
Choices:
A. \( y_p=0.01\cos[\pi (t-2)+\frac{1}{3}\pi] \)
B. \( y_p=0.01\cos[\pi (t+2)+\frac{1}{3}\pi] \)
C. \( y_p=0.01\cos[2\pi... | 6,243 | |
C | Broader STEM Topics | R1OneVision-GRE-physics-2-college-vibration-PartA-4-Physics-college | <image>
Question: A particle performs simple harmonic motion. Its velocity versus time curve is shown in the figure. If the vibration of the particle is described using a cosine function, then its initial phase is
Choices:
A. \(\frac{\pi}{6}\)
B. \(\frac{5\pi}{6}\)
C. \(\frac{-5\pi}{6}\)
D. \(\frac{-\pi}{6}\)
E... | 6,244 | |
B | Broader STEM Topics | R1OneVision-GRE-physics-2-college-vibration-PartA-11-Physics-college | <image>
Question: The phase of \( x_1 \) is ... compared to the phase of \( x_2 \).
Choices:
A. Lag \(\frac{\pi}{2}\)
B. Lead \(\frac{\pi}{2}\)
C. Lag \(\pi\)
D. Lead \(\pi\) | 6,245 | |
C | Broader STEM Topics | R1OneVision-GRE-physics-2-college-vibration-PartA-15-Physics-college | <image>
Question: The vibration equation of this simple harmonic motion is:
Choices:
A. \( x=2\cos\left(\frac{2}{3}\pi t + \frac{2}{3}\pi\right) \)
B. \( x=2\cos\left(\frac{2}{3}\pi t - \frac{2}{3}\pi\right) \)
C. \( x=2\cos\left(\frac{4}{3}\pi t + \frac{2}{3}\pi\right) \)
D. \( x=2\cos\left(\frac{4}{3}\pi t - \frac{2}... | 6,246 | |
B | Broader STEM Topics | R1OneVision-GRE-physics-2-college-thermodynamics-PartA-10-Physics-college | <image>
Question: Let the two curves shown represent the speed distribution curves of oxygen and hydrogen molecules at the same temperature; let (v_p)_{O_{2}} and (v_p)_{H_{2}} represent the most probable speeds of oxygen and hydrogen respectively, then:
Choices:
A. In the figure, a represents the speed distribution cu... | 6,248 | |
B | Broader STEM Topics | R1OneVision-GRE-physics-2-college-thermodynamics-PartA-16-Physics-college | <image>
Question: When a certain amount of ideal gas undergoes the acb process, it absorbs 500 J of heat. Therefore, when it undergoes the acbda process, the heat absorbed is
Choices:
A. -1200 J B. -700 J C. -400 J D. 700 J | 6,249 | |
A | Broader STEM Topics | R1OneVision-GRE-physics-2-college-thermodynamics-PartA-18-Physics-college | <image>
Question: The process during which the gas absorbs heat from the surroundings is
Choices:
A. A\rightarrow B
B. B\rightarrow C
C. C\rightarrow A
D. B\rightarrow C | 6,250 | |
D | Broader STEM Topics | R1OneVision-GRE-physics-2-college-thermodynamics-PartA-19-Physics-college | <image>
Question: The efficiencies of the two Carnot engines are equal.
Choices:
A. The efficiency of the two heat engines must be equal
B. The heat absorbed by the two heat engines from the high-temperature reservoir must be equal
C. The heat released by the two heat engines to the low-temperature reservoir must b... | 6,251 | |
A | Broader STEM Topics | R1OneVision-GRE-physics-2-college-thermodynamics-PartA-29-Physics-college | <image>
Question: The process represented by A→B for an ideal gas during a state change, where the internal energy changes with the volume as shown by the straight line AB in the figure, is
Choices:
A. Isobaric process
B. Isochoric process
C. Isothermal process
D. Adiabatic process | 6,253 | |
A | Broader STEM Topics | R1OneVision-GRE-physics-2-college-rigid-PartA-3-Physics-college | <image>
Question: A uniform thin rod OA can rotate around a smooth horizontal fixed axis perpendicular to the rod through one end O, as shown in the figure. Now the rod is released from rest from the horizontal position and swings freely to the vertical position. Which of the following statements is correct during the ... | 6,254 |
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