JEE MAIN - Physics (2024 - 31st January Evening Shift - No. 8)
By what percentage will the illumination of the lamp decrease if the current drops by 20%?
26%
36%
46%
56%
Explanation
$$\begin{aligned} & \mathrm{P}=\mathrm{i}^2 \mathrm{R} \\ & \mathrm{P}_{\text {int }}=\mathrm{I}_{\text {int }}^2 \mathrm{R} \\ & \mathrm{P}_{\text {final }}=\left(0.8 \mathrm{I}_{\text {int }}\right)^2 \mathrm{R} \end{aligned}$$
% change in power $$=$$
$$\frac{P_{\text {final }}-P_{\text {int }}}{P_{\text {int }}} \times 100=(0.64-1) \times 100=-36 \%$$
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