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Mathematics in Physics

JEE Main level, single correct, medium

88 of 121

Question 88 of 121

A physical quantity $y$ is represented by the formula $y={m}^{2}{r}^{-4}{g}^{x}{l}^{-\dfrac{3}{2}}$ If the percentage errors found in $y,m,r,l$ and $g$ are $18,1,0.5,4$ and $p$ respectively, then find the value of $x$ and $p$ .

Show answer and solution

Answer: (C) $\dfrac{16}{3}$ and $\pm \dfrac{3}{2}$

\dfrac{\Delta y}{y}=\dfrac{2\Delta m}{m}+\dfrac{4\Delta r}{r}+\dfrac{x\Delta g}{g}+\dfrac{3}{2}\dfrac{\Delta l}{l}

18=2(1)+4(0.5)+xp+\dfrac{3}{2}(4)

8=xp

By checking from options.

x=\dfrac{16}{3},p=\pm \dfrac{3}{2}

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.

A physical quantity yyy is represented by the formula y=m2r−4gxl−32y={m}^{2}{r}^{-4}{g}^{x}{l}^{-\dfrac{3}{2}}y=m2r−4gxl−23​ If the percentage errors found in y,m,r,ly,m,r,ly,m,r,l and ggg are 18,1,0.5,418,1,0.5,418,1,0.5,4 and ppp respectively, then find the value of xxx and ppp.

JEE Main question paper PDF

More Physics practice

A physical quantity $y$ is represented by the formula $y={m}^{2}{r}^{-4}{g}^{x}{l}^{-\dfrac{3}{2}}$ If the percentage errors found in $y,m,r,l$ and $g$ are $18,1,0.5,4$ and $p$ respectively, then find the value of $x$ and $p$ .