Physics-
General
Easy
Question
Suppose a smooth tunnel is dug along a straight line joining two points on the surface of the earth and a particle is dropped from rest at its one end. Assume that mass of earth is uniformly distributed over its Volume. Then
- the particle will emerge from the other end with velocity
where Me and Re are earth’s mass and radius respectively,
- the particle will come to rest at centre of the tunnel because at this position, particle is closest to earth centre.
- potential energy of the particle will be equal to zero at centre of tunnel if it is along a diameter.
- acceleration of the particle will be proportional to its distance from midpoint of the tunnel.
where Me and Re are earth’s mass and radius respectively,
The correct answer is: acceleration of the particle will be proportional to its distance from midpoint of the tunnel.
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