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The earth moves around the Sun in an ell...

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)`

Text Solution

Verified by Experts

The correct Answer is:
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`
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