Acceleration due to gravity on the surface of the earth is g = GMR2. The gravitational constant G is exactly known. But percentage error in measurement of the mass of earth M and radius of the earth R are 1% and 2%, respectively. The maximum percentage error in measurement of acceleration due to gravity on the surface of the earth is

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answer is B.

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Detailed Solution

∴ g = GMR2∴ ∆gg = ∆MM+2∆RRPercentage error in g is∆gg×100 = ∆MM×100+2∆RR×100= 1+4 = 5%

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