Two satellites of masses `m_(1)andm_(2)(m_(1)gtm_(2))` are moving around the earth in orbits of radii `r_(1)andr_(2)(r_(1)gtr_(2))`. Which one of the following statements about their velocities is correct?

Options

A. `v_(1)gtv_(2)`
B. `v_(1)=v_(2)`
C. `v_(1)ltv_(2)`
D. `(v_1)/(m_1)=(v_2)/(m_2)`

Answer

C

Explanation

For a satellite,
`(GM_(E)m)/(r^2)=(mv^2)/(r)`
`v=sqrt((GM_(E))/(r))" "thereforevprop(1)/(sqrtr)`
`(v_1)/(v_2)=sqrt((r_2)/(r_1))`
As `r_(1)gtr_(2),v_(1)ltv_(2)`