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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

`sqrt(x)`

B

`x`

C

`xsqrt(x)`

D

`x^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
(b) Applying conservation of angular momentum at position A and B .
`mv_(A)xxOA=mv_(B)xxOB`
Hence, `(v_(B))/(v_(B))=(OA)/(OB)=x`
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