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A uniform wire of mass '3m' and length '...

A uniform wire of mass '3m' and length '3I' is bent into the shape of an equilated triangle and suspended from a horizontal axis X'X in a vertical plane as shown. A unifrom vertical upward magnetic field 'B' is existing in the region. If charge 'Q' is passed alomost instantaneously through the triangular loop, then the angular velocity acquired by the treangular loop immediately after charge passed is

A

`(sqrt3 BQ)/(5m)`

B

`(2sqrt3 BQ)/(5m)`

C

`(3sqrt3 BQ)/(5m)`

D

`(4sqrt3 BQ)/(5m)`

Text Solution

Verified by Experts

The correct Answer is:
A
`tau = (sqrt3)/(4) Bil^(2)`
Now, `int tau dt = Iomega`
`(sqrt3)/(4)Bl^(2) intidt = (5ml^(2)omega)/(4)`
`(sqrt3)/(4)Bl^(2)Q = (5ml^(2))/(4)omega`
`:. omega = (sqrt3BQ)/(5m)`
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