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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

'R^((n+1)/2)'

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)
  1. A satellite of mass m revolves around the earth of radius R at a heigh...

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  2. The time period of an earth satellite in circular orbit is independent...

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  3. Suppose the gravitational force varies inversely as the n^(th) power o...

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  4. Suppose the gravitational force varies inversely as the n^(th) power o...

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  5. Average density of the earth

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  6. The change in the value of g at a height h above the surface of the ea...

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

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  8. If gE and gM are the acceleration due to gravity on the surfaces of th...

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

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

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  11. The height at which the acceleration due to gravity becomes g/9 in ter...

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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 'm' go around a circle of radius R under t...

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

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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 elliptical path abcd of a planet around the sun S such that the...

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