Two satellites of masses of `m_(1)` and `m_(2)(m_(1)gtm_(2))` are revolving round the earth in circular orbits of radius `r_(1)` and `r_(2)(r_(1)gtr_(2))` respectively. Which of the following statements is true regarding their speeds `v_(1)` and `v_(2)`?

Options

A. `v_(1)=v_(2)`
B. `v_(1)gtv_(2)`
C. `v_(1)ltv_(2)`
D. `(v_(1))/(r_(1))=(v_(2))/(v_(2))`

Answer

C

Explanation

`m_(1)v_(1)^(2)= m_(1)(GM)/(r_(1)^(2)), (m_(2)v_(2)^(2))/(r_(2))=m_(2)(GM)/(r_(2)^(2))`
`(v_(1)^(2))/(v_(2)^(2))=(r_(2))/(r_(1)),r_(2)ltr_(1)impliesv_(1)^(2)ltv_(2)^(2)`
Hence `v_(1)ltv_(2)`