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If M is the mass of the earth and R its ...

If M is the mass of the earth and R its radius, the ratio of the gravitational acceleration and the gravitational constant is

A

`R^(2)/(M)`

B

`(M)/(R^(2))`

C

`MR^(2)`

D

`(M)/(R)`

Text Solution

Verified by Experts

The correct Answer is:
b
Acceleration due to gravity - `GM//R^(2)`
`:.(g)/(G)=(M)/(R^(2))`
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Knowledge Check

  • If the mass of a planet is 10% less than that of the earth and the radius 20% greater than that of earth, the acceleration due to gravity on the planet will be:

    A
    `(1)/(2)` times that on the surface of the earth
    B
    `(3)/(4)` times that on the surface of the earth
    C
    `(5)/(8)` times that on the surface of the earth
    D
    `(9)/(10)` times that on the surface of the earth

  • Dimensional formula for the universal gravitational constant G is

    A
    `M^(-1)L^(3)T^(-2)`
    B
    `M^(-1)L^(3)T^(-1)`
    C
    `M^(-1)L^(2)T^(-2)`
    D
    `M^(0)L^(0)T^(0)`

  • The ratio of the radius of the earth to that of moon is 10. The ratio of acceleration due to gravity on earth and on moon is 6. The ratio of their escape velocity from earth to that from the moon is :

    A
    10
    B
    5
    C
    about 8
    D
    1.66

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    Mention the dimensional formula for universal gravitational constant 'G'.

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