Q.
For two satellites at distances R and 7R above the earth's surface, the ratio of their
see full answer
Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!
Real Strategies. Real People. Real Success Stories - Just 1 call away
An Intiative by Sri Chaitanya
a
total energies is 4 and potential and kinetic energies is 2
b
potential energies is 4
c
kinetic energies is 4
d
total energies is 4
answer is B.
(Unlock A.I Detailed Solution for FREE)
Ready to Test Your Skills?
Check your Performance Today with our Free Mock Test used by Toppers!
Take Free Test
Detailed Solution
Distances of the two satellites from the centre of the earth are r1 = 2R and r2 = 8R, respectively (R = earth's radius. Their potential energies are V1=−GmMr1 and V2=−GmMr2Their ratio is V1V2=r2r1=8R2R=4The kinetic energy of a satellite can be obtained from the relation mv2r=GmMr2or K=12mv2=GmM2r K1=GmM2r1 and K2=GmM2r2The ratio of their kinetic energies is K1K2=r2r1=8R2R=4Their total energies are E1=−GmMr1+GmM2r1=−GmM2r1and E2=−GmMr2+GmM2r2=−GmM2r2Their ratio is E1E2=r2r1=8R2R=4Hence, the correct choices are (2), (3) and (4).
Watch 3-min video & get full concept clarity