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The earth is assumed to be a sphere of r...

The earth is assumed to be a sphere of raduis `R`. A plateform is arranged at a height `R` from the surface of the `fv_(e)`, where `v_(e)` is its escape velocity form the surface of the earth. The value of `f` is

A

`sqrt(2)`

B

`1/(sqrt(2))`

C

`1/3`

D

`1/2`

Text Solution

Verified by Experts

The correct Answer is:
B
`1/2mv_(e)^(2)=(GMm)/(R+h)`
`v_(e)^(.)=sqrt((2GM)/(2R))" "( :. h=R)`
`fv_(e)=sqrt(M/R)`
`f=1/(sqrt(2))`
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Knowledge Check

  • The escape velocity from the surface of the Earth is

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    B
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    B
    `2sqrt((2pi rho G)/(3))`
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