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A conducting rod of length l is hinged a...

A conducting rod of length l is hinged at point O. It is a free to rotate in a verical plane. There exists a uniform magnetic field B in horizontal direction. The rod is released from the position shown. The potential difference between the two ends of the rod is proportional to

A

`l^(3//2)`

B

`l^(2)`

C

`sintheta`

D

`(sintheta)^(1//2)`

Text Solution

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The correct Answer is:
A, D
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Knowledge Check

  • A conducting rod of length l is higed at point O. It is free to rotate in a vertical plane. There exists a uniform magnetic field vec(B) in horizontal direction. The rod is released from the position shown in figure. Potential difference between the two ends of the rod is proportional to

    A
    `l^(3//2)`
    B
    `l^(2)`
    C
    `sin theta`
    D
    `(sin theta)^(1//2)`

  • A rod of length 1 rotates with a small but uniform angular velocity u about its perpendicular bisector. a uniform magnetic field B exists parallel to the axis of rotation. The potential difference between the two ends of the rod is:

    A
    zero
    B
    `1/2 omegaBI^(2)`
    C
    `omega BI^(2)`
    D
    `2omegaBI^(2)`

  • A conducting rod rotates with a constant angular velocity 'omega' about the axis which passes through point 'O' and perpendicular to its length . A uniform magnetic field 'B' exists parallel to the axis of the rotation . Then potential difference between the two ends of the rod is :-

    A
    `6B omegal^(2)`
    B
    `B omega l^(2)`
    C
    `10B omega l^(2)`
    D
    Zero