Question

A satellite A of mass m is revolving round the earth at a height ‘r’ from the centre. Another satellite B of mass 2m is revolving at a height 2r. The ratio of their time periods will be

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

Answer 1

Answer: (D)

$1 : 2 \sqrt { 2 }$

Answer 2

Time period depends only upon the orbital radius $= \frac { 1 } { 2 \sqrt { 2 } }$.