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If mass of the earth is M, radius is R, ...

If mass of the earth is `M`, radius is `R`, and gravitational constant is `G`, then workdone to take `1kg` mass from earth surface to infinity will be

A

`sqrt((GM)/(2R))`

B

`sqrt(GM)/R`

C

`sqrt((2GM)/R)`

D

`(GM)/(2R)`

Text Solution

Verified by Experts

The correct Answer is:
B
PE of 1 kg mass placed at the earth surface
`=-(GM)/R`. If P.E. at infinity =0
`:.` Workdone `=DeltaP.E.=(GM)/R`
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NARAYNA-GRAVITATION-EXERCISE -I (H.W.)
  1. A body of mass m is lifted from the surface of earth of height equal t...

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  2. An object of mass 2 Kg is moved from infinity to a poitn P. Initially ...

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  3. If mass of the earth is M, radius is R, and gravitational constant is ...

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  4. A body of mass m is placed on the earth surface is taken to a height o...

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  5. A body is released from a height 5R where R is the radius of the earth...

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  6. The difference in PE of an object of mass 10 kg when it is taken from ...

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  7. If the gravitational potential energy of a body at a distance r from t...

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  8. The escape velocity of an object on a planet whose radius is 4 times t...

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  9. The escape velocity of a sphere of mass m is given by

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  10. A body is projected up with a velocity equal to 3//4th of the escape v...

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  11. A spacecraft is launched in a circular orbit very close to earth. What...

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  12. If the escape velocity on the earth is 11.2km-s^-1, its value for a pl...

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  13. The escape velocity of a body from earth's surface is ve. The escape v...

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  14. The escape velocity of a body from the surface of the earth is V(1) an...

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  15. The ratio of the orbital speeds of two satellites of the earth if the ...

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  16. An artificial satellite is revolving in a circular orbit at height of ...

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  17. The mean radius of the orbit of a satellite is 4 times as great as tha...

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  18. If the mass of earth were 4 times the present mass, the mass of the mo...

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  19. A satellite of mass m revolves around the earth of mass M in a circula...

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  20. A satellite of mass m is revolving in a circular orbit of radius r. Th...

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