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Suppose a smooth tunnel is dug along a s...

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

A

the particle will emerge from the other end with velocity `sqrt((GM_(e))/(2R_(e)))` wherer `M_(e)` and `R_(e)` are earth's mass and radius respectively

B

the partice will come to rest at centre of the tunnel because at this position, particle closest to earth centre

C

potential energy of the particle will be equal to zero at centre of tunnel if its is along a diametre

D

acceleration of the particle will be proportional to its distance from midpoint of the tunnel

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The correct Answer is:
D
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RESONANCE ENGLISH-DAILY PRACTICE PROBLEM-DPP No.38
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