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 |
 59%
From NCERT
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 |
 64%
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 \(\frac{dv}{dt}=(4-2v),\) where \(v\) is the velocity of the body at any instant (in \(\text{ms}^{–1}\)). The initial acceleration and terminal velocity of the body, respectively, are:
 
1. \(4~\text{m/s}^2,\)  \(2~\text{m/s}\) 
2. \(2~\text{m/s}^2,\)  \(4~\text{m/s}\)
3. \(6~\text{m/s}^2,\) ​​​​​​​ \(2~\text{m/s}\)
4. \(2~\text{m/s}^2,\) ​​​​​​​ \(6~\text{m/s}\)
Subtopic:  Speed & Velocity |
 62%
From NCERT
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 |
 63%
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 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 |
 79%
From NCERT
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 |
 69%
From NCERT
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 |
 59%
From NCERT
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 |
 60%
From NCERT
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 |
 69%
From NCERT
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 |
 74%
From NCERT
NEET - 2022
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