Question

The earth moves around the Sun in an elliptical orbit as shown in Fig. The ratio `OA//OB=x`. The ratio of the speed of the earth at `B` to that at `A` is nearly

A. `sqrtx`
B. `x`
C. `xsqrtx`
D. `x^(2)`

Answer 1

Correct Answer - B
Applying conservation of angular momentum at position `A` and `B`
`mv_(A)xxOA=mv_(B)xxOB`
Hence, `(v_(B))/(v_(A))(OA)/(OB)=x`