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The diameters of two planets are in the ...

The diameters of two planets are in the ratio `4:1` and their mean densities in the ratio `1:2` The acceleration due to gravity on the particles wil be in ratio.

A

`1:2`

B

`2:3`

C

`2:1`

D

`4:1`

Text Solution

Verified by Experts

The correct Answer is:
C
`g=(4)/(3)GpiR rhorArr (g_(1))/(g_(2))=(rho_(1)R_(1))/(rho_(2)R_(2))=(1)/(2)xx(4)/(1)=(2)/(1)`
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DC PANDEY-GRAVITATION-Check Point 10.2
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  2. If the earth suddenly shrinks (without changing mass) to half of its p...

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  3. The diameters of two planets are in the ratio 4:1 and their mean densi...

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  4. If M is the mass of the earth and R its radius, then ratio of the grav...

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  5. If G is universal gravitational constant and g is acceleration due to ...

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  6. If density of earth increased 4 times and its radius become half of wh...

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

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  8. If a planet consists of a satellite whose mass and radius were both ha...

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  9. The height above the surface of the earth where acceleration due to gr...

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  10. If radius of earth is R, then the height h at which the value of g bec...

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  11. A body has a weight 72 N. When it is taken to a height h=R= radius of ...

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  12. A simple pendulum has a time period T(1) when on the earth's surface a...

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  13. The depth d, at which the value of acceleration due to gravity becomes...

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

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  15. At what depth below the surface of the earth acceleration due to gravi...

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  16. The weight of a body at the centre of the earth is

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  17. If earth is supposed to be sphere of radius R, if g(20) is value of ac...

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  18. Weight of a body is maximum at

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  19. The angular speed of earth is "rad s"^(-1), so that the object on equa...

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  20. When a body is taken from the equator to the poles, its weight

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