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Choose the correct alternatives. (i) A...

Choose the correct alternatives.
(i) Acceleration due to gravity increases/decreases with increasing altitude.
(ii) Acceleration due to gravity increases/decreases with increasing depth (assume the earth to be a sphere of uniform density.
(iii) Acceleration due to gravity is independent of the mass of the earth/mass of the body.
(iv)The formula `-GMm(1/r_2-1/r_1)` is more/less accurate than the formula mg `(r_2-r_1)` for the difference of potential energy between two points `r_2` and `r_1` distance away from the centre of the earth.

A

`10`

B

`15`

C

`17`

D

`12`

Text Solution

Verified by Experts

The correct Answer is:
B
`(13.6(2)^(2)[1/((1)^(2))-1/((2)^(2))])/(13.6(2)^(2)[1/((3)^(2))-1/((4)^(2))])=15`
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Choose the correct alternative (a)Acceleration due to gravity increase/decrease with increasing altitude. (b) Acceleration due to gravity increase/decrease with increasing depth (assume the earth to be a sphere of uniform density). (c ) Acceleration due to gravity is independent of mass of the earth/mass of the body. (d) The formula - GM m ((1)/(r_(2)) - (1)/(r_(1))) is more/less accurate than the formula mg (r_(2) - r_(1)) for the difference of potential energy between two points r_(2) and r_(1) distance away from the centre of earth.

Choose the correct alternative (a)Acceleration due to gravity increase/decrease with increasing altitude. (b) Acceleration due to gravity increase/decrease with increasing depth (assume the earth to be a sphere of uniform density). (c ) Acceleration due to gravity is independent of mass of the earth/mass of the body. (d) The formula - GM m ((1)/(r_(2)) - (1)/(r_(1))) is more/less accurate than the formula mg (r_(2) - r_(1)) for the difference of potential energy between two points r_(2) and r_(1) distance away from the centre of earth.

Knowledge Check

  • Acceleration due to gravity at any point inside the earth

    A
    varies inversely as the square of the distance from the centre
    B
    is independent of the distance from the centre
    C
    is directly proportional to the distance from the centre
    D
    is inversely proportional to the distance from centre

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