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

A satellite moves round the earth in a circular orbit of radius R maki

1.	A satellite moves round the earth in a circular orbit of radius R making one revolution per day. A second satellite moving in a circular orbit, moves round the earth one in 8 days. The radius of the orbit of the second satellite is
Answer» 8 R 4 R 2 R R Solution :Given that, `T_(1) =1` DAY and `T_(2) =8` days `:. (T_(2))/(T_(1))=((r_(2))/(r_(1)))^(3//2)` `rArr (r_(2))/(r_(1))=((T_(2))/(T_(1)))^(2//3)=((8)/(1))^(2//3)=4 rArr r_(2)=4r_(1)=4R`.