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Q. No.Given below are two statements:
Assertion (A):
When a particle moves in a circle with a uniform speed, both its velocity and acceleration change.
Reason (R):
The centripetal acceleration in circular motion is independent of the angular velocity of the body.
1.
Both (A) and (R) are True and (R) is the correct explanation of (A).
2.
Both (A) and (R) are True but (R) is not the correct explanation of (A).
3.
(A) is True but (R) is False.
4.
Both (A) and (R) are False.
Subtopic: Circular Motion |
59%
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Given below are two statements:
| Assertion (A): | In a two-dimensional motion, there are two accelerations acting on the particle. |
| Reason (R): | Both the components of velocity, i.e., horizontal and vertical, in case of free fall keeps on changing with respect to time. |
| 1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
| 3. | (A) is True but (R) is False. |
| 4. | Both (A) and (R) are False. |
Subtopic: Acceleration |
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A particle moves with a speed \(v\) in a circle of radius \(R.\) The \({x}\text -\)component of the average velocity of the particle in a half-revolution as shown in the figure, is:
1. \(\left(\dfrac{-v}{\pi}\right)\)
2. \(\left(\dfrac{-v}{2 \pi}\right)\)
3. \(\left(\dfrac{-v}{4 \pi}\right)\)
4. \(\left(\dfrac{-2 v}{\pi}\right)\)
1. \(\left(\dfrac{-v}{\pi}\right)\)
2. \(\left(\dfrac{-v}{2 \pi}\right)\)
3. \(\left(\dfrac{-v}{4 \pi}\right)\)
4. \(\left(\dfrac{-2 v}{\pi}\right)\)
Subtopic: Circular Motion |
From NCERT
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Two projectiles are fired from the same point with the same speed at angles of projection \(60^\circ\) and \(30^\circ\) respectively. Which one of the following is true?
| 1. | Their time of flight will be the same. |
| 2. | Their maximum height will be the same. |
| 3. | Their range will be the same. |
| 4. | Their landing velocity will be the same. |
Subtopic: Projectile Motion |
86%
From NCERT
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Select the correct option based on the statements given below:
| Statement I: | When a projectile is at its highest point, its tangential acceleration is zero. |
| Statement II: | When a projectile is at the highest point of its trajectory, its speed is minimum. |
| 1. | Statement I is incorrect and Statement II is correct. |
| 2. | Both Statement I and Statement II are correct. |
| 3. | Both Statement I and Statement II are incorrect. |
| 4. | Statement I is correct and Statement II is incorrect. |
Subtopic: Projectile Motion |
64%
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A person can throw a ball up to a maximum range of \(100\) m. How high above the ground can he throw the same ball?
1. \(25\) m
2. \(50\) m
3. \(100\) m
4. \(200\) m
1. \(25\) m
2. \(50\) m
3. \(100\) m
4. \(200\) m
Subtopic: Projectile Motion |
From NCERT
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Two particles \(A ~\text{and}~ B\) are projected at different angles \(\theta_A,\theta_B\) with the horizontal, but with the same speed of projection. Their maximum heights are \(H_A,H_B\) and their horizontal ranges \(R_A,R_B.\) If \(\theta_A>\theta_B\) then:
1. \(H_A>H_B\)
2. \(R_A>R_B\)
3. \(H_A<H_B\)
4. \(R_A<R_B\)
1. \(H_A>H_B\)
2. \(R_A>R_B\)
3. \(H_A<H_B\)
4. \(R_A<R_B\)
Subtopic: Projectile Motion |
65%
From NCERT
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A body of mass \(m\) is moving in a horizontal circle of the radius \(R\) with a frequency \(\nu.\) The magnitude of centripetal acceleration acting on the body of mass \(m\) is given by:
1. \(4m\pi \nu^2R\)
2. \(4\pi^2 \nu R\)
3. \(4\pi^2 \nu^2R\)
4. \(4\pi^2 \nu^2R^2\)
1. \(4m\pi \nu^2R\)
2. \(4\pi^2 \nu R\)
3. \(4\pi^2 \nu^2R\)
4. \(4\pi^2 \nu^2R^2\)
Subtopic: Circular Motion |
85%
From NCERT
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A particle of a mass \(m\) is moving in a circle of the radius \(r\) with uniform speed \(v.\) Choose the correct option:
| 1. | radial acceleration \(a_{r}=0;\) tangential acceleration \(a_{t}\neq 0.\) |
| 2. | radial acceleration \(a_{r}=0;\) tangential acceleration \(a_{t}=0.\) |
| 3. | radial acceleration \(a_{r}\neq 0;\) tangential acceleration \(a_{t}\neq 0.\) |
| 4. | radial acceleration \(a_{r}\neq 0;\) tangential acceleration \(a_{t}=0\) |
Subtopic: Circular Motion |
74%
From NCERT
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A batsman hits a ball with a speed of \(14\sqrt2\) ms–1 in a direction \(45^\circ\) above the horizontal. The maximum height attained by the ball will be:
1. \(20.0\) m
2. \(10.0\) m
3. \(\dfrac{\sqrt2}{0.7}\) m
4. \(14\sqrt2\) m
1. \(20.0\) m
2. \(10.0\) m
3. \(\dfrac{\sqrt2}{0.7}\) m
4. \(14\sqrt2\) m
Subtopic: Projectile Motion |
78%
From NCERT
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