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If the gravitational force is inversely ...

If the gravitational force is inversely proportional to the n -th power of the distance, then the time period of the revolution of a planet around the sun in a circular orbit of radius R will be

A

directly proportional to `R^(1/2)"^((n+1))`

B

directly proportional to `R^(1/2)"^((n-1))`

C

directly proportional to `R^n`

D

directly proportional to `R^(1/2)"^((n-2))`

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The correct Answer is:
A
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CHHAYA PUBLICATION-NEWTONIAN GRAVITATION AND PLANETARY MOTION-EXERCISE (Multiple choice Questions)
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  2. The radii of the orbits of two satellite A and B revolving around a p...

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  3. In the case of the motion of a planet

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  4. Two small artificial satellite are revolving around the earth in two c...

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  5. If the gravitational force is inversely proportional to the n -th powe...

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  6. A satellite of mass m is revolving around the earth at a height x abov...

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  7. The ratio of the magnitudes of the kinetic energy and the potential en...

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  8. Kepler's second law is the consequence of the law of conservation of

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  9. A satellite is moving in an orbit around a planet with kinetic energy ...

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  10. The angle between the equatorial plane and the orbital plane of a geo-...

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  11. The angle between the equatorial plane and the orbital plane of a pola...

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  12. A geostationary satellite orbits around the earth surface in a circula...

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  13. An artificial satellite moving in a circular orbit around the earth h...

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  14. Reason of weightlessness in a satellite is

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  15. A body projected vertically from the earth reaches a height equal to e...

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  16. An orbiting satellite has

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  17. If the daily rotation of the earth ceases suddenly, then the weight of...

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  18. In the case of a freely falling body, which of the graphs will indicat...

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  19. The radius of a uniform sphere is R and its mass is M. The values of t...

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  20. Dimensional formula of gravitational field intensity is

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