A bob is whirled in a horizontal plane by means of a string with an initial speed of \(\omega\) rpm. The tension in the string is \(T\). If speed becomes \(2\omega\) while keeping the same radius, the tension in the string becomes:
1. \(4 T\) 2. \(\dfrac{T}{4}\)
3. \(\sqrt{2} T\) 4. \(T\)
Subtopic:  Uniform Circular Motion |
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A horizontal force \(10~\text N\) is applied to a block \(A\) as shown in figure. The mass of blocks \(A\) and \(B\) are \(2~\text{kg}\) and \(3~\text{kg}\), respectively. The blocks slide over a frictionless surface. The force exerted by block \(A\) on block \(B\) is :
  
1. \(4~\text N\)
2. \(6~\text N\)
3. \(10~\text N\)
4. zero
Subtopic:  Application of Laws |
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If \(F=\alpha t^2-\beta t\) is the magnitude of the force acting on a particle at an instant \(t\) then the time, at which the force becomes constant, is (where \(\alpha\) and \(\beta\) are constants):
1. \(\dfrac{\beta}{\alpha}\) 2. \(\dfrac{\beta}{2\alpha}\)
3. \(\dfrac{2\beta}{\alpha}\) 4. zero
Subtopic:  Types of Forces |
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A bob is whirled in a horizontal circle by means of a string at an initial speed of \(10\) rpm. If the tension in the string is quadrupled while keeping the radius constant, the new speed is:
1. \(20\) rpm 2. \(40\) rpm
3. \(5\) rpm 4. \(10\) rpm
Subtopic:  Uniform Circular Motion |
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A box of mass \(5 ~\text{kg}\) is pulled by a cord, up along a frictionless plane inclined at \(30^\circ\) with the horizontal. The tension in the cord is \(30~\text N.\) The acceleration of the box is:
(Take g =  \(10~\text{ms}^{-2}\)):
1. \(2~\text{ms}^{-2}\)
2. zero
3. \(0.1~\text{ms}^{-2}\)
4. \(1~\text{ms}^{-2}\)
Subtopic:  Tension & Normal Reaction |
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A football player is moving southward and suddenly turns eastward with the same speed to avoid an opponent. The force that acts on the player while turning is:
1. along south-west 2. along eastward
3. along northward 4. along north-east
Subtopic:  Newton's Laws |
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Calculate the maximum acceleration of a moving car so that a body lying on the floor of the car remains stationary. The coefficient of static friction between the body and the floor is \(0.15\). (take \(g=10\) ms–2)
1. \(50\) ms–2 2. \(1.2\) ms–2
3. \(150\) ms–2 4. \(1.5\) ms–2
Subtopic:  Friction |
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A block of mass \(2\) kg is placed on inclined rough surface \(AC\) (as shown in the figure) of coefficient of friction \(\mu.\) If \(g=10\) ms–1, the net force (in N) on the block will be:
                    
1. \(10\sqrt3\)
2. zero
3. \(10\)
4. \(20\)
Subtopic:  Friction |
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A \(1\) kg object strikes a wall with velocity \(1\) ms–1 at an angle of \(60^\circ\) with the wall and reflects at the same angle. If it remains in contact with the wall for \(0.1\) s, then the force exerted on the wall is:
1. \(30\sqrt3~\text N\)
2. zero
3. \(10\sqrt3~\text N\)
4. \(20\sqrt3~\text N\)
Subtopic:  Newton's Laws |
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Given below are two statements:
Assertion (A): A standing bus suddenly accelerates. If there was no friction between the feet of a passenger and the floor of the bus, the passenger would move back.
Reason (R): In the absence of friction, the floor of the bus would slip forward under the feet of the passenger.
 
1. (A) is True but (R) is False.
2. (A) is False but (R) is True.
3. Both (A) and (R) are True and (R) is the correct explanation of (A).
4. Both (A) and (R) are True but (R) is not the correct explanation of (A).
Subtopic:  Newton's Laws |
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