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If the law of gravitation be such that t...


If the law of gravitation be such that the force of attraction between two particles varies inversely as the `5//2^(th)` powr of their separation then the graph of orbital velocity `v_(0)` plotted against the distance `r` of a satellite from the earth's centre on a log-log scale is shown. The slope of line will be

A

`-(5)/(4)`

B

`-(5)/(2)`

C

`-(3)/(4)`

D

`-1`

Text Solution

Verified by Experts

The correct Answer is:
C
`(mv_(0)^(2))/(r)=(GMm)/(r^(5//2))impliesv_(0)=(sqrt(GM))/(r^(3//4))implieslnv_(0)=lnsqrt(GM)-(3)/(4)lnr`
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