A satellite moves around the earth in a circular orbit of radius R making one revolution per day. A second satellite moving in a circular orbit moves around the earth once in 8 days. The radius of the orbit of the second satellite is

Question

A satellite moves around the earth in a circular orbit of radius R making one revolution per day. A second satellite moving in a circular orbit moves around the earth once in 8 days. The radius of the orbit of the second satellite is, 8 R, 4 R, 2 R, R

MARKS App · Accepted Answer

Given that, T 1 = 1 day and T 2 = 8 days ∴ T 2 T 1 = ( r 2 r 1 ) 3 / 2 ⇒ r 2 r 1 = ( T 2 T 1 ) 2 / 3 = ( 8 1 ) 2 / 3 = 4 ⇒ r 2 = 4 r 1 = 4 R

Search any question & find its solution

Looking for more such questions to practice?