A wooden stick of length `3l` is rotated about an end with constant angular velocity `omega` in a uniform magnetic field `B` perpendicular to the plane of motion. If the upper one-third of its length is coated with copper, the potential difference across the whole length of the stick is

Options

A. (a) `(9Bomegal^(2))/(2)`
B. (b) `(4Bomegal^(2))/(2)`
C. ( c) `(5Bomegal^(2))/(2)`
D. ( d) `(Bomegal^(2))/(2)`

Answer

C

Explanation

( c) `e = int_(2l)^(3l)Bomega x dx = (5 Bomegal^(2))/(2)`