The orbital velocity of a satellite at point `B` with radius `r_(B)` is `v`. The radius of a point `A` is `r_(A)`. If the orbit is increased in radial distance so that `r_(A)` becomes `1.2r_(A)` find the orbital velocity at `(1.2 r_(A))`:

Options

A. `(vr_(B))/(r_(A)sqrt1.2)`
B. `(vr_(A))/(1.2r_(B))`
C. `(vr_(B))/(1.2r_(A))`
D. `(vr_(A))/(r_(B)sqrt1.2)`

Answer

A

Explanation

Using principle of anguklar momentum
`L= mv_(ATA)=mvr_(B)`
`v_(A)=(vr_(B))/(r_(A)),v=sqrt((GM)/(r))`
`(v_(o))/(v_(A))=((r_(A))/(1.2r_(A)))^(1.2)rArrv_(o)=(vr_(s))/(r_(A)sqrt((1.2)))`