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Statement I: In free space a uniform sph...

Statement I: In free space a uniform spherical planet of mass `M` has a smooth narrow tunnel along its diameter. This planet and another superdense small particle of mass `M` start approaching towards each other from rest under action of their gravitational forces. When the particle passes through the centre of the planet, sum of kinetic energies of both the bodies is maximum.

Statement II: When the resultant of all forces acting on a particle or a particle like object (initially at rest) is constant in direction, the kinetic energy of the particle keeps on increasing.

A

Statement I is True, Statement II is True: Statement II is a correct explanation for Statement I.

B

Statement I is True, Statement II is True: Statement II is Not a correct explanation for Statement I.

C

Statement I is True, Statement II is False.

D

Statement I is False, Statement II is True.

Text Solution

Verified by Experts

The correct Answer is:
A
Till particle reaches the centre of the planet, force on both the bodies are in direction on increasing. After the particle crosses the centre of the planet, forces on both are retarding in nature. Hence as the particle passes through the centre of the planet, sum of kinetic energies of oth the bodies is maximum. Therefore Statement 1 is true, Statement 2 is true: Statement 2 is a correct explanation for Statement 1.
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