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The radius and acceleration due to gravi...

The radius and acceleration due to gravity of moon are `1/4` and `1/5` that of earth. The ratio of the mass of earth to mass of moon is

A

`1:80`

B

`80:1`

C

`1:20`

D

`20:1`

Text Solution

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The correct Answer is:
B
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The acceleration due to gravity on moon is only one sixth that on earth. Ratio of moon radius (R_m) to earth.s radius (R_e) should be: (a) 6/1 if both are assumed to have same density (b) 1/6 if both are assumed to have same density (c) 5/18 if rho_e/rho_m is given as 5/3 (d) 9/5 if rho_m/rho_e is given as 3/5

AAKASH SERIES-GRAVITATION-Practice Exercise
  1. If R is the radius of the earth and .g. the acceleration due to gravit...

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  2. The value of acceleration due to gravity .gp. on the surface of a plan...

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  3. The radius and acceleration due to gravity of moon are 1/4 and 1/5 tha...

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  4. A man weighs 75kg on the surface of the earth. His weight on a geostat...

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  5. Two planets of radii r1 and r2 are made from the same material. The ra...

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  6. If the Radius of earth were shrink by 10% its mass remaining same, the...

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  7. If the radius of the earth is 6400 km, the height above the surface of...

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  8. If the change in the value of g at a height h above the surface of the...

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  9. If R is the radius of earth , the height ,at which the weight of a bod...

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  10. Find the depth at which g becomes 4% less than value at surface

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  11. If the radius of the earth is 6400km, the depth at which the accelerat...

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  12. A man weighs 60kg on the surface of the earth. The altitude where his ...

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  13. The acceleration due to gravity at the poles is 10ms^(-2) and equitori...

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  14. If .g. is acceleration due to gravity on the earth.s surface, then the...

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  15. The gravitational potential at centre of earth is

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  16. Two particles each of mass 1kg are seperated by a distance of 1m in a ...

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  17. The orbiting time .T. of a surface satellite is given by the relation

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  18. An earth satellite is revolving in a circular orbit of radius 7000km. ...

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  19. These orbital speed of satellite revolving very close to earth

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  20. The escape velocity of a body depends upon its mass .m. as

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