If the system shown in the figure is in equilibrium, then the reading of spring balance (in kgf) is:

 

1. \(10\)

2. \(20\)

3. \(100\)

4. zero

Subtopic:  Spring Force |
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Level 3: 35%-60%
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An impulse of \(6m \hat{j}\) is applied to a body of mass m moving with velocity \(\hat i+2\hat j\). The final velocity of the body will be:
1. \(-\hat i + 8\hat j\)
2. \(\hat i - 8\hat j\)
3. \(\hat i + 8\hat j\)
4. \(8\hat i - \hat j\)

Subtopic:  Newton's Laws |
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Level 1: 80%+
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A body is moving with a velocity of \(2\hat i\) m/s. If the force acting on the body is \((2\hat i+3\hat j+3\hat k)\) N, then the momentum of the body is changing in:
1. \(X\)-direction only

2. \(X\text-Y\) directions
3. \(Y\text-Z\) directions
4. In all \(X\text-Y\text-Z\) directions

Subtopic:  Newton's Laws |
Level 3: 35%-60%
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A parachutist falls downward with an acceleration of \(2~\text{m/s}^2\) at a height of \(200\) m from the ground. Calculate the upthrust of air if the mass of the parachutist is \(60\) kg: (assume \(g= 10~\text{m/s}^2)\)
1. \(480\) N

2. \(620\) N

3. \(720\) N

4. \(600\) N

Subtopic:  Newton's Laws |
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Level 2: 60%+
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What is the minimum value of force \(F\) such that at least one block leaves the ground in the given figure? \(\left(g=10~\text{m/s}^2\right)\)

 

1. \(20~\text{N}, 2~\text{kg}\) leaves the ground first.
2. \(30~\text{N}, 3~\text{kg}\) leaves the ground first.
3. \(40~\text{N}, 2~\text{kg}\) leaves the ground first.
4. \(50~\text{N}, 3~\text{kg}\) leaves the ground first.
Subtopic:  Tension & Normal Reaction |
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Level 3: 35%-60%
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The block of mass m (shown in the figure) does not move on applying the inclined force \(F\). The friction force acting on the block is:

                       
1. \(F \cos\theta\)
2. \(F \sin\theta\)
3. \(\mu mg-F \sin\theta\)
4. \(\mu mg\)

Subtopic:  Friction |
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Fundamentally, the normal force between two surfaces in contact is:

1. Electromagnetic

2. Gravitational

3. Weak nuclear force

4. Strong nuclear force

Subtopic:  Types of Forces |
Level 3: 35%-60%
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A particle of mass \(m\) is suspended from a ceiling through a massless string. The particle moves in a horizontal circle as shown in the given figure. The tension in the string is:
                       

1. \(mg\)

2. \(2mg\)

3. \(3mg\)

4. \(4mg\)

Subtopic:  Uniform Circular Motion |
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A particle of mass \(m\) is attached to a string and is moving in a vertical circle. Tension in the string when the particle is at its highest and lowest point is \(T_1\) and \(T_2\) respectively. Here \(T_2-T_1\) is equal to: 

1. \(mg\) 2. \(2mg\)
3. \(4mg\) 4. \(6mg\)
Subtopic:  Work Energy Theorem |
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Level 3: 35%-60%
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Choose the incorrect alternative:

1. Newton's first law is the law of inertia.
2. Newton's first law states that if the net force on a system is zero, the acceleration of any particle of the system is not zero.
3. Action and reaction act simultaneously.
4. The area under the force-time graph is equal to the change in momentum.
Subtopic:  Newton's Laws |
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Level 1: 80%+
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