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Suppose the gravitational force varies i...

Suppose the gravitational force varies inversely as the `n^(th)` power of distance. Then the time period of a planet in circular orbit of radius `r` around the sun will be proportional to

A

2mgR

B

`(1)/(2)mgR`

C

`(1)/(4)mgR`

D

`mgR`

Text Solution

Verified by Experts

The correct Answer is:
B
`DeltaU=U_(f)-U_(i)=-(GMm)/(2R)+(GMm)/(R)`
`=(GMm)/(2R)=(mgR)/(2)`
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ALLEN-GRAVITATION-Exercise 5 A (Previous Year Questions)
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  4. Suppose the gravitational force varies inversely as the n^(th) power o...

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  5. The average density of the earth

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  6. IF the change in the value of g at the height h above the surface of t...

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  7. A particle of mass 10 g is kept on the surface of a uniform sphere of ...

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  8. If g(E) and g(m) are the acceleration due to gravity on the surface of...

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  9. A planet in a distant solar system is 10 times more massive than the e...

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  10. This question contains Statement -1 and Stantement -2 Of the four choi...

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  11. Find the height (in terms of R, the radius of the earth) at which the ...

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  12. Two bodies of masses m and 4m are placed at a distance r. The gravitat...

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  13. Two particles of equal mass go around a circle of radius R under the a...

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  14. The mass of a spaceship is 1000 kg. It is to be launched from the eart...

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  15. Four particles, each of mass M and equidistant from each other, move a...

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  16. From a solid sphere of mass M and radius R, a spherical portion of rad...

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  17. A very long (length L) cylindrical galaxy is made of uniformly distrib...

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  18. The correct variation of gravitational potential V with radius r measu...

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  19. A satellite is revolving in a circular orbit at a height 'h' from the ...

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  20. Figure shows elliptical path ‘abcd’ of a planet around the sun S such ...

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