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A uniform magnetic field exists in a region given by $\vec{B} = 3 \hat{j} + 4 \hat{j} + 5 \hat{k}$ . A rod of length 5m along y-axis moves with a constant speed of $1 m s^{- 1}$ along x-axis. Then the induced emf in the rod will be

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15 V

25 V

20 V

answer is B.

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Detailed Solution

$e = B l V$

B, l, V mutually perpendicular

$e = 5 \times 5 \times 1 = 25 V$

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