Question

The period of a satellite in a circular orbit of radius R is T, the period of another satellite in a circular orbit of radius 4R is

• A. 4T
• B. T/4
• C. 8T
• D. T/8

Answer 1

Answer: (C)

8T

Answer 2

$\frac { T _ { 1 } } { T _ { 2 } } = \left( \frac { R _ { 1 } } { R _ { 2 } } \right) ^ { 3 / 2 } = \left( \frac { R } { 4 R } \right) ^ { 3 / 2 } \Rightarrow T _ { 2 } = 8 T _ { 1 }$