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A satellite is revolving in a circular o...

A satellite is revolving in a circular orbit at a height 'h' from the earth's surface (radius of earth R, `h lt lt R`). The minimum increase in its orbital velocity required, so that the satellite could escape from the earth's gravitational field, is close to :(Neglect the effect of atmosphere.)

A

`sqrt(2gR)`

B

`sqrt(gR)(sqrt(2)-1)`

C

`sqrt(gR//2)`

D

`sqrt(gR)`

Text Solution

Verified by Experts

The correct Answer is:
B
`v.-v=sqrt((2Gm)/R)-sqrt((GM)/R)`
`=sqrt(2gR)-sqrt(gR)=sqrt(gR)(sqrt(2)-1)`
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NARAYNA-GRAVITATION-EXERCISE -IV
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  7. The gravitational field in a region due to a certain mass distribution...

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  8. A particle of mass 1kg is placed at a distance of 4m from the centre a...

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  9. Consider two configuration in fig (i) and fig (ii) The work done ...

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  10. Two concentric sphereical shells A and B of radii R and 2R and masses ...

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  11. A particle is placed in a field characterized by a value of gravitatio...

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  12. In a certain region of space, the gravitational field is given by -(k)...

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  13. Graviational acceleration on the surface of plane fo (sqrt6)/(11)g. wh...

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  14. A spherically symmetric gravitational system of particles has a mass d...

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  16. If earth were to rotate on its own axis such that the weight of a pers...

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  17. Two identical thin ring each of radius R are co-axially placed at a di...

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  18. Two bodies of masses m and M are placed at distance d apart. The gravi...

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  19. An asteroids as moving towards a planet of mass M and radius R,from a ...

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