Question

A satellite A of mass m is at a distance of r from the centre of the earth. Another satellite B of mass 2m is at a distance of 2r from the earth's centre. Their time periods are in the ratio of

• A. 1 : 2
• B. 1 : 16
• C. 1 : 32
• D. $1 : 2 \sqrt { 2 }$

Answer 1

Answer: (D)

$1 : 2 \sqrt { 2 }$

Answer 2

Mass of the satellite does not effects on time period

$\frac { T _ { A } } { T _ { B } } = \left( \frac { r _ { 1 } } { r _ { 2 } } \right) ^ { 3 / 2 } = \left( \frac { r } { 2 r } \right) ^ { 3 / 2 } = \left( \frac { 1 } { 8 } \right) ^ { 1 / 2 } = \frac { 1 } { 2 \sqrt { 2 } }$