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A planet of mass m is in an elliptical o...

A planet of mass m is in an elliptical orbit about the sun (m << `M_"sun"`) with an orbital period T. If A be the area of orbit, then its angular momentum would be:

A

`(2mA)/(T)`

B

`mAT`

C

`(mA)/(2T)`

D

`2mAT`

Text Solution

Verified by Experts

The correct Answer is:
A
Considering Kepler's second law we know that
`(A)/(T)=(L)/(2m)or L=(2mA)/(T)`.
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DC PANDEY ENGLISH-GRAVITATION-(A) Chapter Exercises
  1. If orbit velocity of planet is given by v = G^(a)M^(b)R^(c), then

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  2. A planet is revolving round the sun in an elliptical orbit, If v is th...

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  3. A planet of mass m is in an elliptical orbit about the sun (m << M"sun...

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  4. To required kinetic energy of an object of mass m, so that it may esca...

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  5. What is the fractional decrease in the value of free-fall acceleration...

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  6. The earth is an approximate sphere. If the interior contained matter w...

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  7. As observed from earth, the sun appears to move in an approximate circ...

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  8. Satellite orbiting the earth have finite life and sometimes debris of ...

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  9. Both earth and moon are subjected to the gravitational force of the su...

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  10. In our solar system, the inter-planetary region has chunks of matter (...

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  11. Choose the wrong option

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  12. Different points in the earth are at slightly different distances from...

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  13. Two satellite of same mass are launched in the same orbit of radius r ...

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  14. Compute the additional velocity required by a satellite orbiting aroun...

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  15. Particles of masses 2M, m and M are respectively at points A, B and C ...

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  16. Earth orbiting satellite will escape if

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  17. The energy required to move a satellite of mass m from an orbit of rad...

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  18. A body attains a height equal to the radius of the earth. The velocity...

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  19. Suppose the gravitational attraction varies inversely as the distance ...

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  20. The rotation of the earth about its axis speeds up such that a man on ...

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