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Q. No.A particle moving with uniform speed in a circular path maintains:
| 1. | constant acceleration |
| 2. | constant velocity but varying acceleration |
| 3. | varying velocity and varying acceleration |
| 4. | constant velocity |
Subtopic: Circular Motion |
60%
Level 2: 60%+
NEET - 2024
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For a smoothly running analog clock, the ratio of the number of rotations made in a day by the hour hand to the second hand, respectively, is:
| 1. | \(24 :1\) | 2. | \(1:720\) |
| 3. | \(1:60\) | 4. | \(2:5\) |
Subtopic: Circular Motion |
66%
Level 2: 60%+
NEET - 2024
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A bullet is fired from a gun at the speed of \(280~\text{ms}^{-1}\) in the direction \(30^\circ\) above the horizontal. The maximum height attained by the bullet is:\(\left(g=9.8~\text{m/s}^{2}, \sin30^{\circ}=0.5\right)\)
| 1. | \(3000~\text{m}\) | 2. | \(2800~\text{m}\) |
| 3. | \(2000~\text{m}\) | 4. | \(1000~\text{m}\) |
Subtopic: Projectile Motion |
67%
Level 2: 60%+
NEET - 2023
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The position of a particle is given by; \(\vec r(t)=4t\hat i+2t^2\hat j+5\hat k,\) where \(t\) is in seconds and \(r\) in metres. Find the magnitude and direction of the velocity \(v(t)\), at \(t=1~\text{s},\) with respect to the \(x\text-\)axis.
| 1. | \(4\sqrt2~\text{ms}^{-1},45^\circ\) | 2. | \(4\sqrt2~\text{ms}^{-1},60^\circ\) |
| 3. | \(3\sqrt2~\text{ms}^{-1},30^\circ\) | 4. | \(3\sqrt2~\text{ms}^{-1},45^\circ\) |
Subtopic: Speed & Velocity |
81%
Level 1: 80%+
NEET - 2023
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A ball is projected from point \(A\) with velocity \(20\) ms–1 at an angle \(60^\circ\) to the horizontal direction. At the highest point \(B\) of the path (as shown in figure), the velocity \(v\) (in ms–1) of the ball will be:
| 1. | \(20\) | 2. | \(10\sqrt3\) |
| 3. | zero | 4. | \(10\) |
Subtopic: Projectile Motion |
71%
Level 2: 60%+
NEET - 2023
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A particle is executing uniform circular motion with velocity \(\vec v\) and acceleration \(\vec a.\) Which of the following is true?
| 1. | \(\vec v\) is a constant; \(\vec a\) is not a constant. |
| 2. | \(\vec v\) is not a constant; \(\vec a\) is not a constant. |
| 3. | \(\vec v\) is a constant; \(\vec a\) is a constant. |
| 4. | \(\vec v\) is not a constant; \(\vec a\) is a constant. |
Subtopic: Circular Motion |
66%
Level 2: 60%+
NEET - 2023
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A ball is projected with a velocity of \(10~\text{m/s}\) at an angle of \(60^\circ\) with the vertical direction. Its speed at the highest point of its trajectory will be:
| 1. | \(10~\text{m/s}\) | 2. | zero |
| 3. | \(5\sqrt{3}~\text{m/s}\) | 4. | \(5~\text{m/s}\) |
Subtopic: Projectile Motion |
61%
Level 2: 60%+
NEET - 2022
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Rain is falling vertically downward with a speed of \(35~\text{m/s}.\) The wind starts blowing after some time with a speed of \(12~\text{m/s}\) in the east to the west direction. The direction in which a boy standing at the place should hold his umbrella is:
| 1. | \(\text{tan}^{-1}\Big(\frac{12}{37}\Big)\) with respect to rain |
| 2. | \(\text{tan}^{-1}\Big(\frac{12}{37}\Big)\) with respect to wind |
| 3. | \(\text{tan}^{-1}\Big(\frac{12}{35}\Big)\) with respect to rain |
| 4. | \(\text{tan}^{-1}\Big(\frac{12}{35}\Big)\) with respect to wind |
Subtopic: Relative Motion |
71%
Level 2: 60%+
NEET - 2022
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A cricket ball is thrown by a player at a speed of \(20\) m/s in a direction \(30^\circ\) above the horizontal. The maximum height attained by the ball during its motion is: (Take \(g=10\) m/s2)
| 1. | \(5\) m | 2. | \(10\) m |
| 3. | \(20\) m | 4. | \(25\) m |
Subtopic: Projectile Motion |
77%
Level 2: 60%+
NEET - 2022
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A car starts from rest and accelerates at \(5~\text{m/s}^{2}.\) At \(t=4~\text{s}\), a ball is dropped out of a window by a person sitting in the car. What is the velocity and acceleration of the ball at \(t=6~\text{s}?\)
(Take \(g=10~\text{m/s}^2\))
| 1. | \(20\sqrt{2}~\text{m/s}, 0~\text{m/s}^2\) | 2. | \(20\sqrt{2}~\text{m/s}, 10~\text{m/s}^2\) |
| 3. | \(20~\text{m/s}, 5~\text{m/s}^2\) | 4. | \(20~\text{m/s}, 0~\text{m/s}^2\) |
Subtopic: Projectile Motion |
65%
Level 2: 60%+
NEET - 2021
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