Two satellites are orbiting around the Earth in circular orbits of the same radius. The mass of satellite A is five times greater than the mass of satellite B. Their periods of revolution are in the ratio

Question

Two satellites are orbiting around the Earth in circular orbits of the same radius. The mass of satellite A is five times greater than the mass of satellite B. Their periods of revolution are in the ratio (A) 1: 1 (B) 1: 10 (C) 5: 1 (D) 1: 5

Tardigrade Admin · Accepted Answer

T2=((4 π2/G M)) R3 T is independent of the satellite's mass m ⇒ TA: TB=1: 1

Q. Two satellites are orbiting around the Earth in circular orbits of the same radius. The mass of satellite $A$ is five times greater than the mass of satellite $B$ . Their periods of revolution are in the ratio

$1 : 1$

$1 : 10$

$5 : 1$

$1 : 5$

$T^{2} = (\frac{4 π ^{2}}{GM}) R^{3}$
$T$ is independent of the satellite's mass $m$
$\Rightarrow T_{A} : T_{B} = 1 : 1$

Q. Two satellites are orbiting around the Earth in circular orbits of the same radius. The mass of satellite A is five times greater than the mass of satellite B. Their periods of revolution are in the ratio

1:1

1:10

5:1

1:5