A mass is performing a vertical circular motion (see figure.) If the average velocity of the particle is increased, then at which point the string will break?
1. | A | 2. | B |
3. | C | 4. | D |
The bob of a simple pendulum having length l, is displaced from the mean position to an angular position θ with respect to vertical. If it is released, then the velocity of the bob at the lowest position will be:
1.
2.
3.
4.
A ball is dropped from a height of \(5\) m. If it rebounds up to a height of \(1.8\) m, then the ratio of velocities of the ball after and before the rebound will be:
1.
2.
3.
4.
A particle of mass m1 is moving with a velocity v1 and another particle of mass m2 is moving with a velocity v2. Both of them have the same momentum, but their kinetic energies are E1 and E2 respectively. If m1 > m2 then:
1.
2.
3.
4.
A mass of \(0.5\) kg moving with a speed of \(1.5\) m/s on a horizontal smooth surface, collides with a nearly weightless spring with force constant \(k=50\) N/m. The maximum compression of the spring would be:
1. \(0.12\) m
2. \(1.5\) m
3. \(0.5\) m
4. \(0.15\) m
If two springs, A and B are stretched by the same suspended weights, then the ratio of work done in stretching is equal to:
1. 1 : 2
2. 2 : 1
3. 1 : 1
4. 1 : 4
When a spring is subjected to 4 N force, its length is a metre and if 5 N is applied, its length is b metre. If 9 N is applied, its length will be:
1. 4b – 3a
2. 5b – a
3. 5b – 4a
4. 5b – 2a
If a stone is projected vertically upward from the ground at a speed of 10 m/s, then it's: (g = 10 )
1. Potential energy will be maximum after 0.5 s
2. Kinetic energy will be maximum again after 1 s
3. Kinetic energy = potential energy at a height of 2.5 m from the ground
4. Potential energy will be minimum after 1 s
The kinetic energy of a body is increased by 21%. The percentage increase in the magnitude of linear momentum of the body will be:
1. 10%
2. 20%
3. Zero
4. 11.5%