A string of length L is fixed at one end and carries a mass M at the other end. The string makes 2/π revolutions per second around the vertical axis through the fixed end as shown in the figure, then tension in the string is 

(1) ML

(2) 2 ML

(3) 4 ML

(4) 16 ML

Subtopic:  Uniform Circular Motion |
 63%
PMT - 2004
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A long horizontal rod has a bead which can slide along its length, and initially placed at a distance L from one end A of the rod. The rod is set in angular motion about A with constant angular acceleration α. If the coefficient of friction between the rod and the bead is μ, and gravity is neglected, then the time after which the bead starts slipping is

(1) μα

(2) μα

(3) 1μα

(4) Infinitesimal

Subtopic:  Uniform Circular Motion |
 56%
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A particle is moving with a constant speed along a straight-line path. A force is not required to:

(1) increase its speed.

(2) decrease the momentum.

(3) change the direction.

(4) keep it moving with uniform velocity.

Subtopic:  Newton's Laws |
 80%
From NCERT
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A mass of 1 kg is suspended by a string A. Another string C is connected to its lower end (see figure). If a sudden jerk is given to C, then

(1) The portion AB of the string will break

(2) The portion BC of the string will break

(3) None of the strings will break

(4) The mass will start rotating

Subtopic:  Application of Laws |
 57%
From NCERT
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In the  Question, if the string C is stretched slowly, then

                                       

(1) The portion AB of the string will break

(2) The portion BC of the string will break

(3) None of the strings will break

(4) None of the above

Subtopic:  Application of Laws |
 64%
From NCERT
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Newton's second law gives the measure of:

(1) Acceleration

(2) Force

(3) Momentum

(4) Angular momentum

Subtopic:  Newton's Laws |
 55%
From NCERT
PMT - 1982
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A coin is dropped in a lift. It takes time t1 to reach the floor when lift is stationary. It takes time t2 when the lift is moving up with constant acceleration. Then:

(1) t1 > t2

(2) t2 > t1

(3) t1 = t2

(4) t1 >> t2

Subtopic:  Application of Laws |
 65%
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If the tension in the cable of 1000 kg elevator is 1000 kg weight, the elevator:

(1) is accelerating upwards.

(2) is accelerating downwards.

(3) may be at rest or accelerating.

(4) may be at rest or in uniform motion.

Subtopic:  Newton's Laws |
 75%
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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 |
 74%
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 |
 71%
From NCERT
PMT - 1971
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