    Question

# A satellite is revolving round the earth in circular orbit

A
if mass of earth is made four times, keeping other factors constant, orbital speed of satellite will become two times
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B
corresponding to change in part (a), times period of satellite will remain half
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C
when value of G is made two times orbital speed increases and time period decreases
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D
G has no effect on orbital speed and time period
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Solution

## The correct options are A if mass of earth is made four times, keeping other factors constant, orbital speed of satellite will become two times B corresponding to change in part (a), times period of satellite will remain half C when value of G is made two times orbital speed increases and time period decreases Let m be the mass of the satellite and M be the mass of the planet it is revolving around. Therefore, we have: mv2r=GMmr2⇒v=√GMr⇒T=2πrv=2π√r3GM Therefore, if M is quadrupled then velocity is doubled and time period is halved. Similarly, if G is increased then v increases and T decreases. Hence, options A, B and C are correct.  Suggest Corrections  0      Similar questions  Related Videos   Satellites
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