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Q.

A wire is bent in the form of V shape and placed in a horizontal plane. There exists a uniform magnetic field B perpendicular to the plane of the wire. A uniform connecting rod starts sliding over the V shaped wire with a constant speed v as shown in the figure. If the wire has no resistance, the current in the rod will

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a

increase with time

b

always be zero

c

decrease with time

d

remain constant

answer is C.

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Detailed Solution

i=BvlR

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Let λ=resistance per unit length of conducting rod, then

i=Bvlλl=Bvλ=constant

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