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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

`sqrt3`

B

`x `

C

`x^2`

D

`x sqrtx`

Text Solution

Verified by Experts

The correct Answer is:
B
According to law of conservation of angular momentum, we get
`mv_A xx OA = mv_B xx OB " or " (v_B)/(v_A) = (OA)/(OB) = x `
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