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Two bodies each of mass 1kg are at a dis...

Two bodies each of mass 1kg are at a distance of 1m. The escape velocity of a body of mass 1 kg which is midway between them is

A

`8 xx 10^(-5)m//s`

B

`2.31 xx 10^(-5)m//s`

C

`4.2 xx 10^(-5)m//s`

D

zero

Text Solution

Verified by Experts

The correct Answer is:
B
`U_(i) = (6.67 xx 10^(-11) xx 1^(2))/(((1)/(2))) -(6.67 xx 10^(-11) xx 1^(2))/(((1)/(2)))`

`=- 6.67 xx 10^(-11) (2+2)`
`=- 4 xx 6.67 xx 10^(-111)`
`U_(f) =0` at infinity
`:. (1)/(2) mv_(e)^(2) = DeltaU_(f) - U_(i)= 4 xx 6.7 xx 10^(-11)`
`:. v_(e) = sqrt(2xx 4 xx 6.67 xx 10^(-11)) = 2.31 xx 10^(-5)m//s`
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