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A planet is revolving in an elliptical o...

A planet is revolving in an elliptical orbit about the sun. Its closest distance is R. If `K_(1) and K_(2)` are the maximum and minimum kinetic energies of the planet, `K_(1)//K_(2)`=

A

`R//r`

B

`sqrt(R//r)`

C

`R^(2)//r^(2)`

D

1

Text Solution

Verified by Experts

The correct Answer is:
c
`(k_(1))/(k_(2))=((1)/(2)mv_(1)^(2))/((1)/(2)mv_(2)^(2))=((v_(1))/(v_(2)))^(2)`
`(k_(1))/(k_(2))=((R)/(r))^(2)`
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Knowledge Check

  • A planet is revolving in an elliptical orbit around the sun. Its closest distance from the sun is r and the farthest distance is R. If the velocity of the planet nearest to the sun be v and that farthest away from the sun be V. then v/V is

    A
    `R^2//r^2`
    B
    `r^2//R^2`
    C
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    D
    `r//R`

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    A
    `r_(1)^(3//2)`
    B
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    C
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    D
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    A
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    B
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    C
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    D
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