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Questions  

At what height from the surface of earth , the total energy of satellite is equal to its potential energy at a height 2R from the surface of earth(R= radius of earth)

a
2R
b
R/2
c
R/4
d
4R

detailed solution

Correct option is B

TE=PE ⇒−GMm2R+h'=−GMmh+R∵TE=−GMm2r,PE=−GMmrwhere r=R+h ⇒12R+h'=12R+R ⇒3R=2R+2h' ⇒R=2h' ⇒h'=R2

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