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The value of gravitational accelerationg...

The value of gravitational accelerationg at a height h above the earth's surface is 0ne forth the value of gravitational acceleration at surface ,then (R = radius of earth)

A

`h=R`

B

`h=(R )/(2)`

C

`h=(R )/(3)`

D

`h=(R )/(4)`

Text Solution

Verified by Experts

The correct Answer is:
A
Accroding to equation
The value of acceleration due to gravity g at a height h is given by
`g'g(R_(e))/(R_(e)+h)^(2)` [symbols have their usual menaing ]
when `g'=(g)/(4)`
so `(g)/(4)=g(R_(e))/(R_(e)+h)^(2) rarr 1/2=(R_(e))/(R_(e)+h)rarr2R_(e )=R_(e )+h`
`rarr R_(e )=h`
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Knowledge Check

  • The value of gravitational accelerationg at a height h above the earth's surface is then (R = radius of earth)

    A
    h=R
    B
    `h=R/2`
    C
    `h=R/3`
    D
    `h=R/4`

  • The value of gravitational acceleration at a height equal to radius of earth, is

    A
    50% of value at earth's surface
    B
    25% of value at earth's surface
    C
    75% of value at earth's surface
    D
    same as value at earth's surface

  • The ratio of acceleration due to gravity at a height 3 R above earth's surface to the acceleration due to gravity on the surface of earth is (R = radius of earth)

    A
    `1//9`
    B
    `1//16`
    C
    `1//4`
    D
    `1//3`

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