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A wire ab of length l, mass m and resist...

A wire ab of length l, mass m and resistance R slides on a smooth thick pair of metallic rails joined at the bottom as shown in fig. The plane of the rails makes an angle `theta` with the horizontal. A vertical magnetic field B exist in the region. If the wire slides on the rails at a constant speed v, then the value of B is -

A

`sqrt((mgR)/(vl^(2)cos^(2)theta))`

B

`sqrt((mgR cos theta)/(vl^(2)sin^(2)theta))`

C

`sqrt((mgR)/(v^(2)l^(2)sin^(2)theta))`

D

`sqrt((mgR sin theta)/(vl^(2)cos^(2)theta))`

Text Solution

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The correct Answer is:
D
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