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Q.

A metal wire of mass ‘m’ slides without friction on two horizontal rails placed at a distance ‘l’ apart. The track lies in a uniform vertical magnetic field B. If a constant current ‘i’ flows along the wire, the acceleration of the wire is

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a

mBil

b

Bmil

c

Bilm

d

milB

answer is C.

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Detailed Solution

Force on wire, F=Bilsin90°=Bil.

It acts perpendicular to the magnetic field as well as  the length of wire. The acceleration in the wire.
  a=Fm=Bilm 

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