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A horizontal wire is free to slide on th...

A horizontal wire is free to slide on the verticle rails of a conducting frame as shown in figure. The wire has a mass `m` and length `l` and the resistance of the circuit is `R`. If a uniform magnetic field `B` is directed perpendicular to the frame, the terminal speed of the wire as it falls under the force of gravity is

In the above problem if `m=1kg` and teminal velocity attained by its is 4m/s after falling a height of 1m, the energy dissipated as heat till then is `(g=10m//s^(2))`

A

10J

B

2J

C

epsilonJ

D

12J

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • A straight wire of length L is bent into a semicircle. It is moved in a uniform magnetic field with speed v with diameter perpendicular to the field. The induced emf between the ends of the wire is

    A
    `BLv`
    B
    `2BKv`
    C
    `2piBLv`
    D
    `(2BvL)/(pi)`

  • A wire cd of length l and mass m is sliding without friction on conducting rails ax and by as shown. The verticle rails are connected to each other with a resistance R between a and b . A uniform magnetic field B is applied perpendicular to the plane abcd such that cd moves with a constant velocity of

    A
    `(mgR)/(Bl)`
    B
    `(mgR)/(B^(2)l^(2))`
    C
    `(mgR)/(B^(3)l^(3))`
    D
    `(mgR)/(B^(2)l))`

  • Same current i=2A is flowing in a wire frame as shown in figure. The frame is a combination of two equilateral triangles ACD and CDE of side 1m. It is placed in uniform magnetic field B=4T acting perpendicular to the plane of frame. The magnitude of magnetic force acting on the frame is

    A
    24N
    B
    Zero
    C
    16N
    D
    8N

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