A physical quantity P is described by the relation P = a ^ (1)/(2) b ^ 2 c ^ 3 d ^ - 4 . If the relative errors in the measurement of a , b , c and d respectively, are 2 % , 1 % , 3 % and 5 % . Then the relative error

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Correct answer: D. 32 %

P = a ^ (1)/(2) b ^ 2 c ^ 3 d ^ - 4 ((∆ p)/(p)) _ = (1)/(2)(∆ a)/(a) + 2(∆ b)/(b) + 3(∆ c)/(c) + 4(∆ d)/(d) 100 × (∆ P)/(P) = ((1)/(2)(∆ a)/(a) + 2(∆ b)/(b) + 3(∆ c)/(c) + 4(∆ d)/(d)) × 100 %error inP = ((1)/(2) × 2 + 2 × 1 + 3 × 3 + 4 × 5) = 32%

A physical quantity P is described by the relation P = a ^ (1)/(2)...

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