Question

Two satellites are orbiting around the earth in circular orbits of the same radius. One of them is 100 times greater in mass than the other. Their period of revolution are in the ratio.

• A. 1: 1
• B. 10: 1
• C. 100: 1
• D. 1: 100

Answer 1

The correct option is A 1: 1

Time period,

$T^2=\frac{4{\pi }^2}{GM}{R}^3$. . . . . . .(1)

where $G=$ gravitational constant

$M=$ mass of the earth

From the above equation, the time period is independent of the mass of the satellite.

ratio, $\frac{T_1^2}{T_2^2}=\frac{1}{1}$

$T_1:T_2=1:1$

The correct option is A.