For two saatellitw at distance R and 7R above the earth's surface, the ratio of their

Options

A. total energies is 4 and potential and kinetic energies is 4
B. potential energies is 2
C. totall energies is 5
D. all of these

Answer

a

Explanation

`V_(1)=-("GmM")/(r_(1)) and V_(2)=-("GmM")/(r_(2))`
`(v_(1))/(v_(2))=(r_(2))/(r_(1))=(8R)/(2R)=4`
`"Thus "KE_(1)=("GmN")/(2r_(1)) and KE_(2)=("GmM")/(2r_(2))`
`(KE_(1))/(KE_(2))=(r_(2))/(r_(1))=(8R)/(2R)=4`
Their total energies are
`E_(1)=-("GmM")/(2r_(1)) and E_(2)=-("GmM")/(2r_(2))`
`(E_(1))/(E_(2))=(r_(2))/(r_(1))=(8R)/(2R)=4`