Q.

The value of g at a particular point is 9.8 m/s2. Suppose the earth suddenly shrinks uniformly to half of its present size without losing any mass. The value of 'g' at the same point (assuming that the distance of the point from the centre of the earth does not shrink) will now be :

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a

4.9 m/s2

b

9.8 m/s2

c

3.1 m/s2

d

19.6 m/s2

answer is B.

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Detailed Solution

∵g=GMR2 where G, M and R are constants so g= constant.
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The value of g at a particular point is 9.8 m/s2. Suppose the earth suddenly shrinks uniformly to half of its present size without losing any mass. The value of 'g' at the same point (assuming that the distance of the point from the centre of the earth does not shrink) will now be :