Question

A metallic rod of length I is tied to a non-conducting string of length 2l and made to rotate with angular speed $\omega$ on a horizontal table with one end of the string fixed. If there is a vertical magnetic field B in the region, the emf induced across the ends of the rod is

• A.
• B.
• C.
• D.

Answer 1

The correct option is C

The emf induced in the element is,

d$ϵ$ = B dxv
$\int$ d$ϵ$ = B $\omega$${\int }_{2l}^{3l}$ xdx
$ϵ$ = $\frac{5B\omega l^2}{2}$