Question

Two satellites of masses $m _ { 1 }$ and $m _ { 2 } \left( m _ { 1 } > m _ { 2 } \right)$ are revolving round the earth in circular orbits of radius $r _ { 1 }$ and $r _ { 2 } \left( r _ { 1 } > r _ { 2 } \right)$ respectively. Which of the following statements is true regarding their speeds $v _ { 1 }$ and$v _ { 2 }$?

• A. $v _ { 1 } = v _ { 2 }$
• B. $v _ { 1 } < v _ { 2 }$
• C. $v _ { 1 } > v _ { 2 }$
• D. $\frac { v _ { 1 } } { r _ { 1 } } = \frac { v _ { 2 } } { r _ { 2 } }$

Answer 1

Answer: (B)

$v _ { 1 } < v _ { 2 }$

Answer 2

$v = \sqrt { \frac { G M } { r } }$if $r _ { 1 } > r _ { 2 }$ then $v _ { 1 } < v _ { 2 }$

Orbital speed of satellite does not depends upon the mass of the satellite