A mental rod AB of length l is rotated with a constant angular velocity `omega` about an axis passing through O and normal to its length . Potenial difference between ends of rod in absence of external magnetic field ( Where , `e ` = electric change)

Options

A. zero
B. `(m omega^(2)l^(2))/(4e)`
C. `(m omega^(2)l^(2))/(2e)`
D. `(m omega^(2)l^(2))/(8e)`

Answer

B

Explanation

`eV= m omega^(2)x " " rArrV= (momega^(2)X)/(e)`
`dV= (momega^(2))/(e) dx rArr V=(momega^(2))/(e).^(3//4)int_(1//4)" x dx "= (momega^(2)l^(2))/(4e)`