Q.

At what height over the earth's pole, the free fall acceleration decreases by one percent (assume the radius of earth to be 6400 km)

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a

32 km

b

80 km

c

1.253 km

d

64 km

answer is A.

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Detailed Solution

g∝GMr2∴g∝1r2 or r∝1gIf g decrease by one percent then r should be increase by 12% i.e. R=12×100×6400=32 km
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