If the percentage errors| Measurement & Error| JEE-Main 2023

JEE MAINS 2024

31.01.24 S1

Question

If the percentage errors in measuring the length and the diameter of a wire are 0.1% each. The percentage error in measuring its resistance will be:

Select the correct option:

0.2%

0.3%

0.1%

0.144%

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Sol. $$ \begin{aligned} & R=\frac{\rho L}{\pi \frac{d^2}{4}} \\ & \frac{\Delta R}{R}=\frac{\Delta L}{L}+\frac{2 \Delta d}{d} \\ & \frac{\Delta L}{L}=0.1 \% \text { and } \frac{\Delta d}{d}=0.1 \% \\ & \frac{\Delta R}{R}=0.3 \% \end{aligned} $$

Question Tags

JEE Main

Physics

Easy

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