Two parallel conducting rails are separa...

Two parallel conducting rails are separated by a distance L. Two identical conducting wires are placed on the rails perpendicular to them. Each wire has mass M. One of the wires is given a velocity `v_(0)` parallel to the rails away from the other wire. There is a uniform magnetic field directed into the plane of the figure everywhere. Answer following questions for the system comprising of two wires. [Ignore friction and self inductance]

(i) Will the momentum of the system decrease with time?
(ii) What is kinetic energy of the system in steady state?

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The correct Answer is:

(i) NO (iii) `(1)/(2) m V_(0)^(2)`

Consider parallel conducting rails separated by a distance l. There exists a uniform magnetic field B perpendicular to the plane of the rails as shown in Fig. Two conducting wires each of length l are placed so as to slide on parallel conducting rails. One of the wires is given a velocity v_(0) parallel to the rails. Till steady state is achieved, loss in kinetic energy of the system is

zero

`3.4 mv_(0)^(2)`

`1/4 mv_(0)^(2)`

`3/8mv_(0)^(2)`

`(mu_(0)I)/(2pib)`

`(mu_(0)I^(2))/(2pib^(2))`

`(mu_(0)I^(2))/(2pib)`

`(mu_(0)I)/(2pib^(2))`

(a) a constant clockwise induced will flow in the closed loop

(b) an increasing anticlockwise induced current will flow in the closed loop

(c ) a decreasing anticlockwise induced current will flow in the closed loop

(d) an constant anticlockwise induced current will flow in the closed loop