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Q. No.Given below are two statements:
Assertion (A):
IIn projectile motion, both the horizontal and vertical components of acceleration are non-zero.
Reason (R):
In projectile motion, both the horizontal and vertical components of velocity remain constant throughout the motion.
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 |
50%
Level 3: 35%-60%
Hints
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 |
Level 3: 35%-60%
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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%
Level 1: 80%+
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Hints
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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 |
65%
Level 2: 60%+
Hints
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 |
Level 3: 35%-60%
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Two particles \(A \) 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 |
67%
Level 2: 60%+
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A body of mass \(m\) is moving in a horizontal circle of radius \(R\) with a frequency \(\nu.\) Which of the following represents the magnitude of the centripetal acceleration acting on the body?
| 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 |
82%
Level 1: 80%+
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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 |
75%
Level 2: 60%+
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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 |
Subtopic: Projectile Motion |
75%
Level 2: 60%+
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A person goes upstairs from \(A\) to \(B\) (see the figure given below), with all steps of the same width and same height. The magnitude of his displacement from \(A\) to \(B\) is:
| 1. | \(1.4\) m | 2. | \(1.0\) m |
| 3. | \(0.8\) m | 4. | \(0.6\) m |
Subtopic: Position & Displacement |
73%
Level 2: 60%+
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