Two identical satellite are at `R` and `7R` away from earth surface, the wrong statement is (`R`=radius of earth)

Options

A. Ratio of total energy will be `4`
B. Ratio of kinetic energy will be `4`
C. Ratio of potential energy will be `4`
D. Ratio of total energy will be `4` but ratio of potential and kinetic energies will be `2`

Answer

D

Explanation

Orbital radius of satellite `r_(1)=R+R=2R`
`r_(2)=R=7R=8R`
`U_(1)=(-GMm)/(r_(1))` and `U_(2)=(-GMm)/(r_(2))`
`K_(1)=(GMm)/(2r_(1))` and `K_(2)=(GMm)/(2r_(2))`
`E_(1)=(GMm)/(2r_(1))` and `E_(2)=(GMm)/(2r_(2))`
`(U_(1))/(U_(2))=(K_(1))/(K_(2))=(E_(1))/(E_(2))=4`