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A body attains a height equal to the rad...

A body attains a height equal to the radius of the earth when projected from earth's surface the velocity of body with which it was projected is

A

`sqrt((GM)/R)`

B

`sqrt((2GM)/R)`

C

`sqrt(5/4 (GM)/R)`

D

`sqrt((3GM)/R)`

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The correct Answer is:
A
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ALLEN -GRAVITATION-EXERCISE 1
  1. The gravitational potential energy is maximum at :

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  2. A missile is launched with a velocity less than the escape velocity. T...

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  3. A body attains a height equal to the radius of the earth when projecte...

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  4. The gravitational potential energy of a body at a distance r from the ...

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  5. A particle falls towards the earth from inifinity. The velocity with w...

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  6. A projectile of mass m is thrown vertically up with an initial velocit...

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  7. Two small and heavy spheres, each of mass M, are placed a distance r a...

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  8. An artificial satellite moving in a circular orbit around the earth ha...

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  9. A particle of mass m is moving in a horizontal circle of radius R unde...

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  10. Potential energy of a 3kg body at the surface of a planet is -54 J, th...

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  11. Escape velocity of a body 1 kg mass on a planet is 100 ms^(-1). Gravit...

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  12. The ratio of radii of two satellites is p and the ratio of their accel...

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  13. The escape velocity for a body projected vertically upwards from the s...

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  14. The escape velocity for the earth is 11.2 km / sec . The mass of anoth...

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  15. A body is projected vertically upwards from the surface of the earth w...

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  16. Binding energy of moon and earth is :-

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  17. Two artificial satellites A and B are at a distance r(A) and r(B) abov...

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  18. The average radii of orbits of mercury and earth around the sun are 6x...

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  19. A body is dropped by a satellite in its geo-stationary orbit :

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  20. Two ordinary satellites are revolving round the earth in same elliptic...

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