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A conducting wire ab of length l resist...

A conducting wire ab of length l resistance r and mass m starts sliding down at t=0 on a smooth, vertical thick pair of connected rails as shown. The terminal speed of the wire is

A

`(mgR)/(Bl)`

B

`(mgr)/(B^2l^2)`

C

`(mgl)/(B^2r^2)`

D

None

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • A copper wire ab of length l, resistance r and mass m start sliding at t=0 down a smooth, vertical, thick pair of connected conducting rails as shown in figure. A uniform magnetic field B exists in the space in a direction perpendicular to the plane of the rails which options are correct .

    A
    The magnitude and direction of the induced current in the wire when speed of the wire v is `(vBl)/( r)`, a to b
    B
    The downward acceleration of the wire at this instant `g-(B_(2)l^(2))/(mr)v`
    C
    The velocity of the wire as a function of time `v_(m)(1-e^(-"gt"//v_(m))),("where" v_(m)=(mgr)/(B^(2)l^(2)))`
    D
    The displacement of the wire as a function of time `v_(m)t-(v_(m)^(2))/(g)(1-e^(-"gt"//v_(m))),("where" v_(m)=(mgr)/(B^(2)l^(2)))`

  • A copper wire ab of length l , resistance r and mass m starts sliding at t=0 down a smooth, vertical, thick pair of connected condcuting rails as shown in figure.A uniform magnetic field B exists in the space in a direction perpendicular to the plane of the rails which options are correct.

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    The magnitude and direction of the induced current in the wire when speed of the wire `v` is `(vBl)/r`, `a` to b
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    D
    The displacement of the wire as a function of time `v_(m)t-v_(m)^(2)/"g" (1-e^(-"gt"//v_(m)))`(where `v_(m)=(mgr)/(B^(2)l^(2)))`

  • A conducting wire xy of lentgh l and mass m is sliding without friction on vertical conduction rails ab and cd as shown in figure. A uniform magnetic field B exists perpendicular to the plane of the rails, x moves with a constant velocity of

    A
    `(mg R)/(Bl)`
    B
    `(mg R)/(B l^(2))`
    C
    `(mg R)/(B^(2)l^(2))`
    D
    `(mg R)/(B^(2) l)`

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