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The acceleration due to gravity is g at ...

The acceleration due to gravity is `g` at a point distant `r` from the centre of earth of radius `R`. If `r lt R`, then

A

`g prop r`

B

`g prop r^2`

C

`g prop r^(-1)`

D

`g prop r^(-2)`

Text Solution

Verified by Experts

The correct Answer is:
A
`g prop r`
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Knowledge Check

  • If g denotes the value of acceleration due to gravity at a point distance r from the centre of earth of radius R . If r lt R , then

    A
    `g prop r^(2)`
    B
    `g prop r`
    C
    `g prop 1//r^(2)`
    D
    `g prop 1//r`

  • The dependence of acceleration due to gravity g on the distance r from the centre of the earth, assumed to br a sphere of radius R of uniform density is as shoen in Fig. below: The correct figure is

    A
    `(4)`
    B
    `(1)`
    C
    `(2)`
    D
    `(3)`

  • If R= radius of the earth and g= acceleration due to gravity on the surface of the earth, the acceleration due to gravity at a distance (r lt R) from the centre of the earth is proportional to

    A
    `r`
    B
    `r^(2)`
    C
    `r^(-2)`
    D
    `r^(-1)`

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