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A tunnel is made across the earth at dis...

A tunnel is made across the earth at disance `(R )/(2)` from the centre of eath. A particle is dropped (from rest) in the tunnel at one end. If `v_(1)` is the speed of particle when passing through the centre of tunnel and `v_(2)` is the orbital speed of an earth satellite (very close to earth's surface). If `(v_(1))/(y_(2))=(sqrt(x+1))/(x)`. Find the value of x.

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