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Q.

When a ‘J’ shaped conducting rod is rotating in its own plane with constant angular velocity w, about one of its end P, in a uniform magnetic field B directed normally into the plane of paper) then magnitude of emf induced across it will be

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a

B ω \sqrt{L^{2} + l^{2}}

b

\frac{1}{2} B ω l^{2}

c

\frac{1}{2} B ω (L^{2} + l^{2})

d

\frac{1}{2} B ω L^{2}

answer is C.

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Detailed Solution

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$ε = \frac{1}{2} B ω x^{2}$

$= \frac{1}{2} B ω (L^{2} + l^{2})$

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