8.2 Choose the correct alternative:
(a) Acceleration due to gravity increases/decreases with increasing altitude
(b) Acceleration due to gravity increases/decreases 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 –G Mm(1/r2
– 1/r1) is more/less accurate than the formula mg(r2
– r1) for the difference of potential energy between two points r2
and r1
distance away from the centre of the earth
8.2 Choose the correct alternative:
(a) Acceleration due to gravity increases/decreases with increasing altitude
(b) Acceleration due to gravity increases/decreases 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 –G Mm(1/r2 – 1/r1) is more/less accurate than the formula mg(r2 – r1) for the difference of potential energy between two points r2 and r1 distance away from the centre of the earth
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1 Answer
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(a) Decreases - Acceleration due to gravity at depth h is given by = (1 – )g, where g = acceleration due to gravity on the surface of the Earth. From this equation, it is clear that acceleration due to gravity decreases with increase in height
(b) Decreases – Acceleration due to gravity at depth d is given by = (1- )g. So the acceleration due to gravity decreases with increase in depth.
(c) Mass of the body – Acceleration due to gravity of body mass m is given by the relation g = , where G = Universal gravitation constant, M = mass of the Earth and R = radiu
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