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A rod AB moves with a uniform velocity v...

A rod AB moves with a uniform velocity v in a uniform magnetic field as shown in figure
(##HCV_VOL2_C38_E01_033_Q01##)

A

`10sqrt3`

B

`10//sqrt3`

C

`5sqrt3`

D

`5//sqrt3`

Text Solution

Verified by Experts

The correct Answer is:
B
`x^(2) + y^(2) = l^(2) = constant`

`2x(dx)/(dt) + 2y(dy)/(dt) = 0`
`(dx)/(dt)=-V_(A)=-10`
`(dy)/(dt)=V_(B)&`
`y/x=tanalpha=tan60^(@) = sqrt3`
`10 = sqrt3V_(B)" "implies V_(B)=10/sqrt3`
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