In an experiment, the percentage of error occurred in the measurement of physical quantities A, B, C and D are 1\%, 2\%, 3\% and 4\% respectively. The - Physics MCQ NEET 2019 2026 | ExamTest.live

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In an experiment, the percentage of error occurred in the measurement of physical quantities A, B, C and D are 1%, 2%, 3% and 4% respectively. Then the maximum percentage of error in the measurement X, where X = \frac{A ^{2} B ^{1/2}}{C ^{1/3} D ^{3}}, will be:

Solution & Step-by-step Explanation

For a product/quotient X = A^{a} B^{b} C^{- c} D^{- d}, the maximum relative error is: \frac{Δ X}{X} = a \frac{Δ A}{A} + b \frac{Δ B}{B} + c \frac{Δ C}{C} + d \frac{Δ D}{D} Relative errors: 1, 2, 3, 4 percent. % X = 2 (1%) + \frac{1}{2} (2%) + \frac{1}{3} (3%) + 3 (4%) % X = 2% + 1% + 1% + 12% = 16%

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In an experiment, the percentage of error occurred in the measurement of physical quantities A, B, C and D are 1%, 2%, 3% and 4% respectively. Then the maximum percentage of error in the measurement X, where X = \frac{A ^{2} B ^{1/2}}{C ^{1/3} D ^{3}}, will be:

13%

16%

- 10%

10%

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