Q135 / 200 · NEET 2022 (Phase 2) · Physics

A standard filament lamp consumes $100 \mathrm{~W}$ when connected to $200 \mathrm{~V}$ a.c. mains supply. The peak current through the bulb will be :

  • Correct answer
    A
    $0.707 \mathrm{~A}$
  • B
    $1 \mathrm{~A}$
  • C
    $1.414 \mathrm{~A}$
  • D
    $2 \mathrm{~A}$

Solution

Power, $\begin{aligned} \mathrm{P} & =\mathrm{I}_{\mathrm{rms}} \mathrm{V}_{\mathrm{rms}} \\ \mathrm{I}_{\mathrm{rms}} & =\frac{\mathrm{P}}{\mathrm{V}_{\mathrm{rms}}}=\frac{100}{200}=\frac{1}{2} \\ \mathrm{I}_0 & =\sqrt{2} \mathrm{I}_{\mathrm{rms}} \\ \mathrm{I}_0 & =\sqrt{2} \times \frac{1}{2} \\ \mathrm{I}_0 & =\frac{1}{\sqrt{2}}=0.707 \mathrm{~A} \end{aligned}$

Hence, the correct answer is option: 'A'.

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