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Mathematics in Physics

JEE Main level, single correct, medium

105 of 121

Question 105 of 121

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

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Answer: (A) $6.5%$

100\times \left(\dfrac{∆A}{A}\right)=\left(\dfrac{3∆P}{P}+\dfrac{2∆Q}{Q}+\dfrac{1}{2}\dfrac{∆R}{R}+\dfrac{∆S}{S}\right)\times 100

max percentage error,

A=3\times 0.5+2\times 1+\dfrac{1}{2}\times 3+1.5

=1.5+2+1.5+1.5

=6.5%

JEE Main question paper PDF

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JEE Main 2025 Apr 2 Shift 1 question paper

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More Physics practice

JEE Main Physics practice question on Mathematics in Physics (Errors of Measurement), with the answer and a step-by-step solution. Scan a question from your own book or paper to get a whiteboard video.

The percentage errors in quantities PPP, QQQ, RRR and SSS are 0.50.5%0.5, 11%1, 33%3 and 1.51.5%1.5 respectively in the measurement of a physical quantity A=P3Q2RSA=\dfrac{{P}^{3}{Q}^{2}}{\sqrt{R} S}A=R​SP3Q2​. The maximum percentage error in the value of AAA will be:

JEE Main question paper PDF

More Physics practice

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