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Assume that a tunnel is dug through eart...

Assume that a tunnel is dug through earth from North pole to south pole and that the earth is a non-rotating, uniform sphere of density `rho`. The gravitational force on a particle of mass m dropped into the tunnel when it reaches a distance r from the centre of earth is

A

`(3/(4pi) mG rho) r`

B

`((4pi)/3 mG rho)r`

C

`((4pi)/3 mG rho) r^(2)`

D

`((4pi)/3 m^(2) G rho)r`

Text Solution

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The correct Answer is:
B
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ALLEN -GRAVITATION-EXERCISE 1
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  2. Suppose the acceleration due to gravity at earth's surface is 10ms^-2 ...

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  3. Assume that a tunnel is dug through earth from North pole to south pol...

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  4. Mars has a diameter of approximately 0.5 of that of earth, and mass of...

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  5. Three equal masses of 1 kg each are placed at the vertices of an equil...

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  6. One can easily "weigh the earth" by calculating the mass of earth usin...

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  7. Acceleration due to gravity at the centre of the earth is :-

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  8. The value of 'g' on earth surface depends :-

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  9. The value of 'g' reduces to half of its value at surface of earth at a...

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  10. The acceleration due to gravity on a planet is 1.96 ms^(-1). If it is ...

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  11. If the earth stops rotating sudenly, the value of g at a place other t...

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  12. Diameter and mass of a planet is double that earth. Then time period o...

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  13. Gravitation on moon is (1)/(6) th of that on earth. When a balloon fil...

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  14. The acceleration due to gravity g and mean density of earth rho are re...

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  15. Will 1 kg sugar be more at poles or at the equator?

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  16. When you move from equator to pole, the value of acceleration due to g...

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  17. When the radius of earth is reduced by 1% without changing the mass, t...

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  18. Weight of a body of mass m decreases by 1% when it is raised to height...

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  19. Acceleration due to gravity at earth's surface if 'g' m//s^(2). Find t...

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  20. The mass of moon 1% of mass of earth. The ratio of gravitational pull ...

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