The time period of a satellite in a circular orbit of radius R is T. The period of another satellite in a circular orbit of radius 9 R is :

Question

The time period of a satellite in a circular orbit of radius R is T. The period of another satellite in a circular orbit of radius 9 R is : (A) 9 T (B) 27 T (C) 12 T (D) 3 T

Tardigrade Admin · Accepted Answer

T2 propto R3 ((T'/T))2=((9 R/R))3 T'2=T2 × 93 T'=T × 33 T'=27 T

Q. The time period of a satellite in a circular orbit of radius $R$ is $T$ . The period of another satellite in a circular orbit of radius $9 R$ is :

9 T

27 T

12 T

3 T

$T^{2} \propto R^{3}$
$(\frac{T ^{'}}{T})^{2} = (\frac{9 R}{R})^{3}$
$T^{^{'} 2} = T^{2} \times 9^{3}$
$T^{'} = T \times 3^{3}$
$T^{'} = 27 T$

Q. The time period of a satellite in a circular orbit of radius R is T. The period of another satellite in a circular orbit of radius 9R is :

9 T

27 T

12 T

3 T

T2∝R3 (TT′​)2=(R9R​)3 T′2=T2×93 T′=T×33 T′=27T

Q. The time period of a satellite in a circular orbit of radius $R$ is $T$ . The period of another satellite in a circular orbit of radius $9 R$ is :

$T^{2} \propto R^{3}$
$(\frac{T ^{'}}{T})^{2} = (\frac{9 R}{R})^{3}$
$T^{^{'} 2} = T^{2} \times 9^{3}$
$T^{'} = T \times 3^{3}$
$T^{'} = 27 T$