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Q. No.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 |
67%
From NCERT
NEET - 2023
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A particle is executing uniform circular motion with velocity \(\overrightarrow v\) and acceleration \(\overrightarrow a.\) Which of the following is true?
| 1. | \(\overrightarrow v\) is a constant; \(\overrightarrow a\) is not a constant. |
| 2. | \(\overrightarrow v\) is not a constant; \(\overrightarrow a\) is not a constant. |
| 3. | \(\overrightarrow v\) is a constant; \(\overrightarrow a\) is a constant. |
| 4. | \(\overrightarrow v\) is not a constant; \(\overrightarrow a\) is a constant. |
Subtopic: Circular Motion |
56%
From NCERT
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 metre. Find the magnitude and direction of velocity \(v(t)\), at \(t=1~\mathrm{s}\), with respect to \(x\)-axis:
\(\vec r(t)=4t\hat i+2t^2\hat j+5\hat k\)
where \(t\) is in seconds and \(r\) in metre. Find the magnitude and direction of velocity \(v(t)\), at \(t=1~\mathrm{s}\), with respect to \(x\)-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 |
77%
From NCERT
NEET - 2023
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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 |
62%
From NCERT
NEET - 2023
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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
1. \(5\) m
2. \(10\) m
3. \(20\) m
4. \(25\) m
Subtopic: Projectile Motion |
73%
From NCERT
NEET - 2022
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Rain is falling vertically downward with a speed of \(35~\text{m/s}\). Wind starts blowing after some time with a speed of \(12~\text{m/s}\) in East to West direction. The direction in which a boy standing at the place should hold his umbrella is:
| 1. | \(\text{tan}^{-1}\Big(\dfrac{12}{37}\Big)\) with respect to rain |
| 2. | \(\text{tan}^{-1}\Big(\dfrac{12}{37}\Big)\) with respect to wind |
| 3. | \(\text{tan}^{-1}\Big(\dfrac{12}{35}\Big)\) with respect to rain |
| 4. | \(\text{tan}^{-1}\Big(\dfrac{12}{35}\Big)\) with respect to wind |
Subtopic: Relative Motion |
69%
From NCERT
NEET - 2022
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A ball is projected with a velocity of \(10\) ms–1 at an angle of \(60^\circ\) with the vertical direction. Its speed at the highest point of its trajectory will be:
1. \(10\) ms–1
2. zero
3. \(5\sqrt3\) ms–1
4. \(5\) ms–1
1. \(10\) ms–1
2. zero
3. \(5\sqrt3\) ms–1
4. \(5\) ms–1
Subtopic: Projectile Motion |
59%
From NCERT
NEET - 2022
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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 |
58%
From NCERT
NEET - 2024
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For a smoothly running analog clock, the ratio of number of rotations made in a day by the hour hand and second hand respectively, is:
1. \(24 :1\)
2. \(1:720\)
3. \(1:60\)
4. \(2:5\)
1. \(24 :1\)
2. \(1:720\)
3. \(1:60\)
4. \(2:5\)
Subtopic: Circular Motion |
62%
From NCERT
NEET - 2024
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A body is falling freely in a resistive medium. The motion of the body is described by \(\dfrac{dv}{dt}=(4-2v),\) where \(v\) is the velocity of body at any instant (in ms–1). The initial acceleration and terminal velocity of the body, respectively, are:
1. \(4\) ms–2, \(2\) ms–1
2. \(2\) ms–2, \(4\) ms–1
3. \(6\) ms–2, \(2\) ms–1
4. \(2\) ms–2, \(6\) ms–1
1. \(4\) ms–2, \(2\) ms–1
2. \(2\) ms–2, \(4\) ms–1
3. \(6\) ms–2, \(2\) ms–1
4. \(2\) ms–2, \(6\) ms–1
Subtopic: Speed & Velocity |
60%
From NCERT
NEET - 2024
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