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Mathematics in Physics

JEE Main level, numerical answer, medium

93 of 121

Question 93 of 121

The resistance $R=\dfrac{V}{I}$ , where $V=\left(50\pm 2\right)V$ and $I=\left(20\pm 0.2\right)A$ . The percentage error in $R$ is $x$ $%$ . The value of $x$ to the nearest integer is ________.

Show answer and solution

Answer: 5

\dfrac{\Delta R}{R}\times 100=\dfrac{\Delta V}{V}\times 100+\dfrac{\Delta I}{I}\times 100

%

error in

R=\dfrac{2}{50}\times 100+\dfrac{0.2}{20}\times 100

%

error in

R=4+1

%

error in

R=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 resistance R=VIR=\dfrac{V}{I}R=IV​, where V=(50±2)VV=\left(50\pm 2\right)VV=(50±2)V and I=(20±0.2)AI=\left(20\pm 0.2\right)AI=(20±0.2)A. The percentage error in RRR is xxx %. The value of xxx to the nearest integer is ________.

JEE Main question paper PDF

More Physics practice

The resistance $R=\dfrac{V}{I}$ , where $V=\left(50\pm 2\right)V$ and $I=\left(20\pm 0.2\right)A$ . The percentage error in $R$ is $x$ $%$ . The value of $x$ to the nearest integer is ________.