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NEET 2019 · Errors in Measurement

Errors in Measurement question from NEET 2019

Q93NEET 2019Medium

Errors in Measurement

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:

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Answer: (a)

$X = \frac{A^2 B^{1/2}}{C^{1/3} D^3} \Rightarrow \frac{\Delta X}{X} = 2\frac{\Delta A}{A} + \frac{1}{2}\frac{\Delta B}{B} + \frac{1}{3}\frac{\Delta C}{C} + 3\frac{\Delta D}{D}$
$= 2(1) + \frac{1}{2}(2) + \frac{1}{3}(3) + 3(4) = 2 + 1 + 1 + 12 = 16\%$
So the answer is (a) $16\%$ .

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