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A physical quantity A is related to four observable a, b, c and d as $A = \frac{a^{2} b^{3}}{c \sqrt{d}}$ . The percentage errors of measurement in a, b, c and d are 1%, 3%, 2% and 2% respectively. What is the percentage error in the quantity A ?

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detailed solution

Correct option is D

Percentage error in A= (2×1+3×3+1×2+12×2)% = 14%

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A physical quantity A is related to four observable a, b, c and d as A = a2b3cd. The percentage errors of measurement in a, b, c and d are 1%, 3%, 2% and 2% respectively. What is the percentage error in the quantity A ?

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Ready to Test Your Skills?

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A physical quantity A is related to four observable a, b, c and d as $A = \frac{a^{2} b^{3}}{c \sqrt{d}}$ . The percentage errors of measurement in a, b, c and d are 1%, 3%, 2% and 2% respectively. What is the percentage error in the quantity A ?