The reading of spring balance in the depicted figure will be:

         

1. \(0\) N 2. \(20\) N
3. \(10\) N 4. \(5\) N

Subtopic:  Spring Force |
 61%
Level 2: 60%+
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The angle of banking for a cyclist taking a turn at a curve is given by \(\tan\theta   =   \frac{v^{n}}{rg}\) where symbols have their usual meaning. The value of \(n\) is:

1. \(1\)

2. \(2\)

3. \(3\)

4. \(4\)
Subtopic:  Banking of Roads |
 92%
Level 1: 80%+
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The maximum constant speed with which a car can move on a flat horizontal circular road with the radius of curvature \(20\) m and a coefficient of static friction \(0.5\) is: \(\left(g = 10~\text{m/s}^2\right)\)
1. \(36\) km/h 2. \(54\) km/h
3. \(72\) km/h 4. \(90\) km/h
Subtopic:  Uniform Circular Motion |
 85%
Level 1: 80%+
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A \(100\) kg gun fires a ball of \(1\) kg horizontally from a cliff at a height of \(500\) m. It falls on the ground at a distance of \(400\) m from the bottom of the cliff. The recoil velocity of the gun is: (Take \(g=10\) m/s2)
1. \(0.2\) m/s
2. \(0.4\) m/s
3. \(0.6\) m/s
4. \(0.8\) m/s

Subtopic:  Newton's Laws |
 73%
Level 2: 60%+
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A metal sphere is suspended from a wall by a string. The forces acting on the sphere are shown in the figure. Which of the following statements is NOT correct?
   

1.

\(\overrightarrow N+\overrightarrow T+\overrightarrow W=0\)

2. \(T^2=N^2+W^2\)
3. \(T = N + W\) 4. \(N = W \tan \theta\)
Subtopic:  Tension & Normal Reaction |
 62%
Level 2: 60%+
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What will be the reading of the spring balance in the given setup? (take \(g=10~\text{m/s}^2\) )
                

1. \(60~\text N\) 
2. \(40~\text N\)
3. \(50~\text N\) 
4. \(80~\text N\) 

Subtopic:  Spring Force |
 60%
Level 2: 60%+
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In the diagram, a \(100\) kg block is moving up with constant velocity. Find out the tension at the point \(P\).

       
1. \(1330\) N
2. \(490\) N
3. \(1470\) N
4. \(980\) N

Subtopic:  Tension & Normal Reaction |
Level 3: 35%-60%
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If a young man of mass \(60\) kg stands on the floor of a lift which is accelerating downwards at \(1~\text{m/s}^2\), then the reaction of the floor of the lift on the man will be: \(\left(g = 9.8~\text{m/s}^2 \right)\)

1. \(528\) N 2. \(540\) N
3. \(546\) N 4. None of these
Subtopic:  Application of Laws |
 73%
Level 2: 60%+
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If \(\mu\) between block \(A\) and inclined plane is \(0.5\) and that between block \(B\) and the inclined plane is \(0.8,\) then the normal reaction between blocks \(A\) and \(B\) will be:
                       
1. \(180~\text N\) 
2. \(216~\text N\) 
3. \(0\)
4. none of these

Subtopic:  Friction |
 59%
Level 3: 35%-60%
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A particle is on a smooth horizontal plane. A force \(F\) is applied, whose \((F\text-t)\) graph is given.
                    
Consider the following statements.

(a) At time \(t_1\), acceleration is constant.
(b) Initially the particle must be at rest.
(c) At time \(t_2\), acceleration is constant.
(d) The initial acceleration is zero.

Select the correct statement(s):

1. (a), (c) 2. (a), (b), (d)
3. (c), (d) 4. (b), (c)
Subtopic:  Newton's Laws |
 56%
Level 3: 35%-60%
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