# The percentage errors in quantities $\mathrm{P}, \mathrm{Q}, \mathrm{R}$ and $\mathrm{S}$ are $0.5 \%$, $1 \%, 3 \%$ and $1.5 \%$ respectively in the measurement of a physical quantity $\mathrm{A}=\frac{\mathrm{P}^{3} \mathrm{Q}^{2}}{\sqrt{\mathrm{R} S}}$.   The maximum percentage error in the value of A will be

Question:

The percentage errors in quantities $\mathrm{P}, \mathrm{Q}, \mathrm{R}$ and $\mathrm{S}$ are $0.5 \%$, $1 \%, 3 \%$ and $1.5 \%$ respectively in the measurement of a physical quantity $\mathrm{A}=\frac{\mathrm{P}^{3} \mathrm{Q}^{2}}{\sqrt{\mathrm{R} S}}$.

The maximum percentage error in the value of A will be

1. $8.5 \%$

2. $6.0 \%$

3. $7.5 \%$

4. $6.5 \%$

JEE Main Previous Year Single Correct Question of JEE Main from Physics Physical World, Units and Measurements chapter.

JEE Main Previous Year April 16, 2018

Correct Option: 4

Solution:

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