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2nd Equation of Motion

A tunnel has ...

Question

A tunnel has been dug through the centre of the earth and a ball is released in it. It will reach the other end of the tunnel after

A

84.6 minutes

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B

42.3 minutes

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C

1 day

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D

Will not reach the other end

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Solution

The correct option is B
42.3 minutes

Ball execute S.H.M. inside the tunnel with time period

T = $2 π \sqrt{\frac{R}{g}}$ = 84.63 min

Hence time to reach the ball from one end to

the other end of the tunnel t = $\frac{84.63}{2} = 42.3$ min.

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