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NEET UG PHYSICS MCQ: ALTERNATING CURRENT

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In a uniform magnetic field of induction B a wire in the form of a semicircle of radius rr rotates about the diameter of the circle with angular frequency ω\omega. The axis of rotation is perpendicular to the field. If the total resistance of the circuit is R\mathrm{R}, the mean power generated per period of rotation is :
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Correct option: B
(Bπr2ω)28R\frac{\left(\mathrm{B} \pi \mathrm{r}^2 \omega\right)^2}{8 \mathrm{R}}
Option B ((Bπr2ω)28R\frac{\left(\mathrm{B} \pi \mathrm{r}^2 \omega\right)^2}{8 \mathrm{R}}) is correct because it represents the mean power generated per period of rotation, derived from Faraday's law and the power formula.

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