A body of mass m hangs at one end of a string of length l, the other end of which is fixed. It is given a horizontal velocity so that the string would just reach where it makes an angle of 60° with the vertical. The tension in the string at mean position is 

(1) 2 mg

(2) mg

(3) 3 mg

(4) 3mg

Subtopic:  Work Energy Theorem |
 53%
From NCERT
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As per the given figure to complete the circular loop, what should be the radius of the loop?
 

 
1. 4 m
2. 3 m
3. 2.5 m
4. 2 m

Subtopic:  Work Energy Theorem |
 61%
From NCERT
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The kinetic energy k of a particle moving along a circle of radius R depends on the distance covered s as k = as2 where a is a constant. The force acting on the particle is 

(1) 2as2R

(2) 2as1+s2R21/2

(3) 2 as

(4) 2aR2s

Subtopic:  Concept of Work |
 52%
From NCERT
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A stone of mass 1 kg tied to a light inextensible string of length L=103m is whirling in a circular path of radius L in a vertical plane. If the ratio of the maximum tension in the string to the minimum tension in the string is 4 and if g is taken to be 10 m/sec2, the speed of the stone at the highest point of the circle is 

(1) 20 m/sec

(2) 103m/sec

(3) 52m/sec

(4) 10 m/sec

Subtopic:  Work Energy Theorem |
 60%
PMT - 1990
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A small block is shot into each of the four tracks as shown below. Each of the tracks rises to the same height. The speed with which the block enters the track is the same in all cases. At the highest point of the track, the normal reaction is maximum in:

(1)
(2)
(3)    
(4)     Same in all cases

 

Subtopic:  Work Energy Theorem |
From NCERT
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A stone tied to a string of length L is whirled in a vertical circle with the other end of the string at the centre. At a certain instant of time, the stone is at its lowest position and has a speed u. The magnitude of the change in its velocity as it reaches a position where the string is horizontal is:

(1) u22gL

(2) 2gL

(3) u2gl

(4) 2(u2gL)

Subtopic:  Work Energy Theorem |
From NCERT
PMT - 2004
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The driver of a car travelling at velocity v suddenly sees a broad wall in front of him at a distance d. He should 

(1) Brake sharply

(2) Turn sharply

(3) (1) and (2) both

(4) None of the above

Subtopic:  Concept of Work |
From NCERT
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A 100 g iron ball having velocity 10 m/s collides with a wall at an angle 30° and rebounds with the same angle. If the period of contact between the ball and wall is 0.1 second, then the force experienced by the wall is 

(1) 10 N

(2) 100 N

(3) 1.0 N

(4) 0.1 N

Subtopic:  Collisions |
 75%
From NCERT
PMT - 1997
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A man fires a bullet of mass 200 g at a speed of 5 m/s. The gun is of one kg mass. By what velocity the gun rebounds backwards ?

(1) 0.1 m/s

(2) 10 m/s

(3) 1 m/s

(4) 0.01 m/s

Subtopic:  Collisions |
 85%
From NCERT
PMT - 1996
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A body of mass M at rest explodes into three pieces, two of which of mass M/4 each are thrown off in perpendicular directions with velocities of 3 m/s and 4 m/s respectively. The third piece will be thrown off with a velocity of 

(1) 1.5 m/s

(2) 2.0 m/s

(3) 2.5 m/s

(4) 3.0 m/s

Subtopic:  Collisions |
 77%
From NCERT
PMT - 1990
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