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Q.

Fig  shows L-shaped rod rotating about its end Oin a plane perpendicular to the magnetic field B. The part OA of the rod is non-conducting while the part AB is conducting. The induced e.m.f. between the ends A and B is

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a

12ωBL2

b

ωBL2

c

2ωBL2

d

12ωB2L

answer is A.

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Detailed Solution

Consider a small element dx as shown in fig.(22). Here (dx x v) ll B∴eAB=∫0L [dxωrsin⁡θ]B=ωB∫0L xdx [∵rsin⁡θ=x]=12ωBL2
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