In periodic motion of a coil in a uniform magnetic field if induced emf at any instant t is given by $e = 10 s i n 314 t$ then induced emf at $t = \frac{1}{300}$ sec will be

5 V

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5 \sqrt{2 V}

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5 \sqrt{3 V}

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3 \sqrt{5 V}

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Solution

The correct option is C $5 \sqrt{3 V}$
Induced EMF is $e = 10 s i n 314 t = 10 s i n 100 π t$
at $t = \frac{1}{300}$
$\Rightarrow e = 10 s i n \frac{100 π}{300} = 10 s i n \frac{π}{3} = 5 \sqrt{3} V$
Hence the option is C

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