A ball of mass 0.25 kg attached to the end of a string of length 1.96 m is moving in a horizontal circle. The string will break if the tension is more than 25 N. What is the maximum speed with which the ball can be moved 

(1) 14 m/s

(2) 3 m/s

(3) 3.92 m/s

(4) 5 m/s

Subtopic:  Uniform Circular Motion |
 76%
From NCERT
PMT - 1998
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A point mass m is suspended from a light thread of length l, fixed at O, is whirled in a horizontal circle at constant speed as shown. From your point of view, stationary with respect to the mass, the forces on the mass are

(1)
(2)
(3)
(4)
Subtopic:  Uniform Circular Motion |
 60%
From NCERT
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A motor cycle driver doubles its velocity when he is having a turn. The force exerted outwardly will be

(1) Double

(2) Half

(3) 4 times

(4) 14 times

Subtopic:  Uniform Circular Motion |
 83%
From NCERT
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A mass is supported on a frictionless horizontal surface. It is attached to a string and rotates about a fixed centre at an angular velocity ω0. If the length of the string and angular velocity are doubled, the tension in the string which was initially T0 is now 

(1) T0

(2) T0/2

(3) 4 T0

(4) 8 T0

Subtopic:  Uniform Circular Motion |
 76%
From NCERT
AIIMS - 1985
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An object with a mass 10 kg moves at a constant velocity of 10 m/sec. A constant force then acts for 4 second on the object and gives it a speed of 2 m/sec in opposite direction. The acceleration produced in it, is 

(1) 3 m/sec2

(2) –3 m/sec2

(3) 0.3 m/sec2

(4) –0.3 m/sec2

Subtopic:  Newton's Laws |
 77%
From NCERT
PMT - 1971
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A machine gun is mounted on a 2000 kg car on a horizontal frictionless surface. At some instant the gun fires bullets of mass 10 gm with a velocity of 500 m/sec with respect to the car. The number of bullets fired per second is ten. The average thrust on the system is 

(1) 550 N

(2) 50 N

(3) 250 N

(4) 250 dyne

Subtopic:  Newton's Laws |
 73%
From NCERT
PMT - 1971
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A cricket ball of mass 250 g collides with a bat with velocity 10 m/s and returns with the same velocity within 0.01 second. The force acted on bat is 

(1) 25 N

(2) 50 N

(3) 250 N

(4) 500 N

Subtopic:  Newton's Laws | Application of Laws |
 66%
From NCERT
PMT - 1997
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If rope of lift breaks suddenly, the tension exerted by the surface of lift (a = acceleration of lift) 

(1) mg

(2) m(g + a)

(3) m(ga)

(4) 0

Subtopic:  Types of Forces |
 70%
From NCERT
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A plumb line is suspended from a ceiling of a car moving with horizontal acceleration of a. What will be the angle of inclination with vertical 

(1) tan–1(a/g)

(2) tan–1(g/a)

(3) cos–1(a/g)

(4) cos–1(g/a)

Subtopic:  Pseudo Force |
 80%
From NCERT
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The linear momentum p of a body moving in one dimension varies with time according to the equation p = a + bt2 where a and b are positive constants. The net force acting on the body is 

(1) A constant

(2) Proportional to t2

(3) Inversely proportional to t

(4) Proportional to t

Subtopic:  Newton's Laws |
 87%
From NCERT
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