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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_A lt K_B lt K_C`

B

`K_A gt K_B gt K_C`

C

`K_B lt K_A 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 `(L)=mvr=Iomega=` constant
Kinetic energy `(KE)=(L^2)/(2I)`
As `I_AltI_BltI_C`
`therefore(KE)_Agt(KE)_Bgt(KE)_C`
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