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JEE Main 2019 (9 Apr, Shift 1) · Errors in Measurement

Errors in Measurement question from JEE Main 2019 (9 Apr, Shift 1)

Q94JEE Main 2019 · 9 APR · SHIFT 1Medium

Errors in Measurement

In the density measurement of a cube, the mass and edge length are measured as (10.00 ± 0.10) kg and (0.10 ± 0.01) m, respectively. The error in the measurement of density is:

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Answer: (c)

$\rho = \frac{m}{L^3} \Rightarrow \frac{\Delta \rho}{\rho} = \frac{\Delta m}{m} + 3\frac{\Delta L}{L}$
$= \frac{0.10}{10.00} + 3\left(\frac{0.01}{0.10}\right) = 0.01 + 0.30 = 0.31$
So the answer is (c) 0.31 (this is the fractional error in density).

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