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Questions  

A particle is dropped from a height equal to the radius of the earth into a tunnel dug through the earth along one of the diameters as shown in the fig.

R: Radius of earth

M: Mass of earth

 

a
particle will oscillate through the earth to a height R on both sides
b
Particle will execute simple harmonic motion
c
motion of the particle is periodic
d
Particle passes the centre of earth with a speed 2GMR

detailed solution

Correct option is Æ

The force outside the earth varies as inverse square f the distance. Motion is not simple harmonic.However, from symmetry of motion, the motionFrom COE12mv2=−GMm2R−(3GMm2R) ⇒v=2GMR

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