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If the accelaration due to gravity becom...

If the accelaration due to gravity becomes 4 times its original value, then escape speed

A

remains same

B

2 times of original value

C

becomes halved

D

4 times of original value

Text Solution

Verified by Experts

The correct Answer is:
B

Escape speed `v_(e)=sqrt(2gR)`
If g' = 4g
then `v_(e)^(1)=sqrt(2g'R)`
`=sqrt(2(4g)R)`
`=sqrt(8gR)`
`=sqrt(4xx2gR)`
`=sqrt(4)v_(e)`
`v_(e)^(1)=2v_(e)`
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