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If a tunnel is cut at any orientation th...

If a tunnel is cut at any orientation through earth, then a ball released from one end will reach the other end in time (neglect earth rotation)

A

`84.6` minutes

B

`42.3` minutes

C

`8` minutes

D

depends on orientation

Text Solution

Verified by Experts

The correct Answer is:
b
`g_(d)=g(1-d/R)`
`g_(d)=g/Rx`
`F_(R)=-mg_(d)impliesF_(R)=-(mg)/Rx`
`T=2pisqrt((mR)/(mg))impliesT=2pisqrt(R/g)`
`T=84.6 mi n`
`t=T/2impliest=42.3` min.
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