Q.

A conducting rod PO of length l = 2 m is moving at a speed of 2 ms-1 making an angle of 30o with its length. A uniform magnetic field B = 2T exists in a direction perpendicular to the plane of motion. Then

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a

VP−VQ=8V

b

VP−VQ=4V

c

VQ−VP=8V

d

VQ−VP=4V

answer is B.

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Detailed Solution

Emf induced across the rod AB ise=Bℓvsin⁡θ=2×2×2×sin⁡30⇒e=4VFree electrons of the rod shift towards right due to forceF→=q(v→×B→)Thus, end P is at higher potentialor VP - VQ= 4V. Thus, choice (b) is correct.
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A conducting rod PO of length l = 2 m is moving at a speed of 2 ms-1 making an angle of 30o with its length. A uniform magnetic field B = 2T exists in a direction perpendicular to the plane of motion. Then