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Physics · 2022

JEE Main · 27 July 2022, Shift 1 · Q54

To light, a 50 W, 100 V lamp is connected, in series with a capacitor of capacitance 50/(π √ x) μ F, with 200 V, 50 Hz AC source. The value of x will…

To light, a $\displaystyle 50$ W, $\displaystyle 100$ V lamp is connected, in series with a capacitor of capacitance $\displaystyle \frac{50}{\pi \sqrt{x}} \mu F$, with $\displaystyle 200 \mathrm{~V}, 50 \mathrm{~Hz} \mathrm{AC}$ source. The value of $\displaystyle x$ will be \_\_\_\_.
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JEE Main 2022 Physics question, with the answer from NTA’s final answer key. Where our answers come from.