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A body of mass 5 kg is thrown vertically up with a kinetic energy of 490 J. The height at which the kinetic energy of the body becomes half of the original value is

1) 12.5 m 2) 10 m 3) 2.5 m 4) 5 m Answer: 4) 5 m Solution: Let h be the height at which kinetic energy of the body becomes half... View Article

Potential energy of a particle is related to x coordinate by equation x² – 2x will be equilibrium at

1) x = 0.5 2) x = 2 3) x = 1 4) x = 4 Answer: 3) x = 1 Solution: For stable equilibrium, Fnet = 0 F = - dU/dx F = -d(x2 -... View Article

Two balls of masses 2 g and 6 g are moving with kinetic energy in the ratio of 3: 1. What is the ratio of their linear momenta?

1) 1: 1 2) 2: 1 3) 1: 2 4) None of these Answer: 1) 1 : 1 Solution: Kinetic energy , K= (1/2)mv2 = (1/2) x m (mv2/m) = m2v2/2m K= p2/2m... View Article

A cubical vessel of height 1 m is full of water. What is the amount of work done in pumping water out of the vessel? (take, g =10 ms^-2)

1) 1250 J 2) 5000 J 3) 1000 J 4) 2500 J Answer: Mass of water in the cubical vessel= density x volume m = v x ρ = l3... View Article

A ball dropped from a height of 2 m rebounds to a height of 1.5 m after hitting the ground. Then, the percentage of energy lost is

1) 25 2) 30 3) 50 4) 100 Answer: 1) 25 Solution: Percentage of energy loss = [mg (2 - 1.5)/mgh] x 100 = [mg (2 - 1.5)/mg x 2] x 100 = 25%... View Article

The magnitude of momentum of particle is increased by 100%. The increase in its kinetic energy is

1) 100% 2) 200% 3) 300% 4) 400% Answer: 3) 300% Solution: Kinetic Energy, K.E = p2/2m p = momentum m = mass Momentum is... View Article

A shell of mass 20 kg at rest explodes into two fragments whose masses are in the ratio 2 : 3. The smaller fragment moves with a velocity of 6 ms^-1. The kinetic energy of the larger fragment is

1) 96 J 2) 216 J 3) 144 J 4) 360 J Answer: 1) 96 J Solution: The ratio of the two masses is 2:3 Masses of the fragments are 8Kg and... View Article

A rod AB of mass 10 kg and length 4 m rests on a horizontal floor with end A fixed so, as to rotate it in a vertical plane about a perpendicular axis passing through A. If the work done on the rod is 100 J, the height to which the end B be raised vertically above the floor is

1) 1.5 m 2) 2 m 3) 1 m 4) 2.5 m 5) 3 m Answer: 2) 2 m Solution: Work done, W = mgh/2 100 = (10 x 10 x h)/2 100 = (100 x h)/2 h = 2m... View Article

A spring of spring constant 5 x 10³ Nm^-1 is stretched initially by 5 cm from the unstretched position. Then the work required to stretch it further by another 5 cm is

1) 12.50 N–m 2) 18.75 N–m 3) 25 N–m 4) 6.25 N–m Answer: 2) 18.75 N–m Solution: Work done, W1 = (1/2) k... View Article

The area under the displacement-force curve gives

1) distance travelled 2) total force 3) momentum 4) work done Answer: 4) work done Solution: Work done = force × displacement ... View Article

PM MITRA Parks [Govt Schemes for UPSC]

The government has approved the setting up of seven PM MITRA Parks with an outlay of Rs. 4,445 crores for over five years. In this article, you... View Article

if-the-sides-of-a-triangle-are-produced-in-order-prove-that-the-sum-of-the-exterior-angles-so-formed-is-equal-to-four-right-angles

Solution: The triangle ABC in which the sides AB, BC and CA produced to points F, D, and E. We have to prove that ∠DCA + ∠FAE + ∠FBD = 3600.... View Article

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Archives

A body of mass 5 kg is thrown vertically up with a kinetic energy of 490 J. The height at which the kinetic energy of the body becomes half of the original value is

Potential energy of a particle is related to x coordinate by equation x² – 2x will be equilibrium at

Two balls of masses 2 g and 6 g are moving with kinetic energy in the ratio of 3: 1. What is the ratio of their linear momenta?

A cubical vessel of height 1 m is full of water. What is the amount of work done in pumping water out of the vessel? (take, g =10 ms^-2)

A ball dropped from a height of 2 m rebounds to a height of 1.5 m after hitting the ground. Then, the percentage of energy lost is

The magnitude of momentum of particle is increased by 100%. The increase in its kinetic energy is

A shell of mass 20 kg at rest explodes into two fragments whose masses are in the ratio 2 : 3. The smaller fragment moves with a velocity of 6 ms^-1. The kinetic energy of the larger fragment is

A rod AB of mass 10 kg and length 4 m rests on a horizontal floor with end A fixed so, as to rotate it in a vertical plane about a perpendicular axis passing through A. If the work done on the rod is 100 J, the height to which the end B be raised vertically above the floor is

A spring of spring constant 5 x 10³ Nm^-1 is stretched initially by 5 cm from the unstretched position. Then the work required to stretch it further by another 5 cm is

The area under the displacement-force curve gives

PM MITRA Parks [Govt Schemes for UPSC]

if-the-sides-of-a-triangle-are-produced-in-order-prove-that-the-sum-of-the-exterior-angles-so-formed-is-equal-to-four-right-angles

in-the-given-fig-poq-is-a-line-ray-or-is-perpendicular-to-line-pq-os-is-another-ray-lying-between-rays-op-and-or

What is a lagoon? Give examples.

How are lagoons formed?

What are examples of water resources?

What are the sources of water pollution?

What are the major water resources?

What are the common property resources of rural areas?

Which land comes under common property resources?

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