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JEE MAIN 2025
08-04-2025 S2
Question
Electric charge is transferred to an irregular metallic disk as shown in figure. If $\sigma_1, \sigma_2, \sigma_3$ and $\sigma_4$ are charge densities at given points then, choose the correct answer from the options given below:

A. $\sigma_1>\sigma_3 ; \sigma_2=\sigma_4$
B. $\sigma_1>\sigma_2 ; \sigma_3>\sigma_4$
C. $\sigma_1>\sigma_3>\sigma_2=\sigma_4$
D. $\sigma_1<\sigma_3<\sigma_2=\sigma_4$
E. $\sigma_1=\sigma_2=\sigma_3=\sigma_4$
Select the correct option:
A
B and C Only
B
A, B and C Only
C
A and C Only
D
D and E Only
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
$\begin{aligned} & \sigma \propto \frac{1}{\mathrm{ROC}} \\ & (\mathrm{ROC})_1<(\mathrm{ROC})_3<(\mathrm{ROC})_2=(\mathrm{ROC})_4 \\ & \sigma_1>\sigma_3>\sigma_2=\sigma_4\end{aligned}$
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