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The ratio of kinetic energy of a plane...

The ratio of kinetic energy of a planet at perigee and apogee during its motion around the sun in eliptical orbit of ecentricity e is

A

`1:e`

B

`(1+e)/(1-e)`

C

`((1+e)/(1-e))^(2)`

D

`((1-e)/(1+e))^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • Which of the diagrams shown in figure. Most closely shows the variation inkinetic energy of the earth as it moves once around the sun in its elliptical orbit ?

    A
    B
    C
    D

  • A planet revolves around the sun in an elliptical orbit. If v_(p) and v_(a) are the velocities of the planet at the perigee and apogee respectively, then the eccentricity of the elliptical orbit is given by :

    A
    `(v_(p))/(v_(a))`
    B
    `(v_(a)-v_(p))/(v_(a)+v_(p))`
    C
    `(v_(p)+v_(a))/(v_(p)-v_(a))`
    D
    `(v_(p)-v_(a))/(v_(p)+v_(a))`

  • The relationship between kinetic energy (K) and potential energy (U) of electron moving in a orbit around the nucleus is

    A
    `U=-K`
    B
    `U=-2K`
    C
    `U=-3K`
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    `U=-(1)/(2)K`

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