Gravitation

Question : 2

Total: 25

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 –GMm(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.

Solution:

(a) Acceleration due to gravity g decreases with increasing altitude as g′=g

(R+h)2

.
(b) Acceleration due to gravity g decreases with depth as g′=g(1−

)where d is the depth.
(c) Acceleration due to gravity is, g=

GMe

Re2

Therefore, g is independent of mass of body
(d) More

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