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Assume that a frictionless tunnel is mad...

Assume that a frictionless tunnel is made in the earth along its diameter, a particle in projected in the tunnel from the surface of the earth with an initial speed `v_(0)=sqrt(gR)`, where g is the acceleration due to gravity on the earth's surface & R is the radius of the earth, if time taken by the particle to reach the centre of the earth is `(pi)/(n)sqrt((4R)/(g))` the value of `n` is?

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