The orbital velocity of a satellite at point `B` with radius `r_(B)` and `n`. The radius of a point `A` is `r_(A)`. If the orbit is increased in radial distance so that `r_(A)` becomes `.12r_(A)` find the orbital velocity at `(1.2 r_(A))`:

Options

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

Answer

A

Explanation

For two points on same orbit `L=mv_(A)r_(A)=mvr_(B)`
`v_(A)=(vR_(B))/(r_(A))`
For two points on different orbits.
` v=sqrt((GM)/r) (v_(0))/(v_(A))=((r_(A))/(1.2r_(A)))^(1//2)`
`v_(0)=v_(A) ((r_(A))/(1.2r_(A)))^(1//2)=(vr_(B))/(r_(A))((r_(A))/(1.2r_(A)))^(1//2)=(vr_(B))/(r_(A) sqrt(1.2))`