Two identical satellites are orbiting are orbiting at distances R and 7R from the surface of the earth, R being the radius of the earth. The ratio of their

Options

A. kinetic energies is 4
B. potential energies is 4
C. total energies is 4
D. All of these

Answer

D

Explanation

Let `r_(1) and r_(2)` respective the distance of two satellites from the earth's surface
`r_(1)=R+R=2R and r_(2)=7R+R=8R` (`because` R is the radius of the earth)
Now, `K=(GMm)/(2r)rArr(K_(1))/(K_(2))=(r_(1))/(r_(2))=4`
`U=-(GMm)/(r),(U_(1))/(U_(2))=(r_(2))/(r_(1))=4`
and `E=-(GMm)/(2r)or(U_(1))/(U_(2))=(r_(2))/(r_(1))=4`.