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The kinetic energies of a planet in an e...

The kinetic energies of a planet in an elliptical orbit about the Sun, at positions `A,B` and `C` are `K_(A),K_(B)` and `K_(C)` respectively. AC is the major axis and `SB` is perpendicular to `AC` at the position of the sun as shown in the figure. Then

A

`K_(B) lt K_(A) lt K_(C)`

B

`K_(A) gt K_(B) gt K_(C) `

C

`K_(A) lt K_(B) lt K_(C)`

D

`K_(B) gt K_(A) gt K_(C)`

Text Solution

Verified by Experts

The correct Answer is:
B
As angular momentum is conserved mvr = constant so `v_(A) gt v_(B) gt v_(C)`
hence `K_(A) gt K_(B) gt K_(C)`
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