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A body is projected vertically up from surface of the earth with a velocity half of escape velocity. The ratio of its maximum height of ascent and radius of earth is

A

`1:1`

B

`1:2`

C

`1:3`

D

`1:4`

Text Solution

Verified by Experts

The correct Answer is:
C
`h=R/(n^(2)-1)` Here n=2
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NARAYNA-GRAVITATION-EXERCISE -I (C.W.)
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  2. The escape velocity from the surface of the earth of radius R and dens...

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  3. A body is projected vertically up from surface of the earth with a vel...

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  4. A spaceship is launched in to a circular orbit of radius R close to su...

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  5. The escape velocity from the earth is 11 km//s. The escape velocity fr...

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  6. An object of mass m is at rest on earth's surface. Escape speed of thi...

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  7. A satellite revolves in a circular orbit with speed, V=1/(sqrt(3))V(e)...

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  8. A space station is set up in space at a distance equal to the earth's ...

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  9. The orbital speed for an earth satellite near the surface of the earth...

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  10. Two satellite are revolving round the earth at different heights. The...

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  11. A satellite of mass m revolves around the earth of radius R at a hight...

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  12. Two satellites M and N go around the earth in circular orbits at heigh...

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  13. A satellite of mass m revolves revolves round the earth of mass M in a...

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  14. The moon revolves round the earth 13 times in one year. If the ratio o...

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  15. A satellite is launched into a circular orbit of radius R around the e...

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  16. An astronaut orbiting in a spaceship round the earth has a centripetal...

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  17. A satellite moves around the earth in a circular orbit with speed v. I...

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  18. The K.E. of a satellite in an orbit close to the surface of the earth ...

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  19. Two satellite of masses 400 kg,500kg are revolving around earth in dif...

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  20. The kinetic energy needed to project a body of mass m from the earth s...

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