A uniform magnetic field existsin region given by `vec(B) = 3 hat(i) + 4 hat(j)+5hat(k)`. A rod of length `5 m` is placed along `y`-axis is moved along `x`- axis with constant speed `1 m//sec`. Then the magnitude of induced `e.m.f` in the rod is :

Options

A. (a) `0`
B. (B) `25 V`
C. ( c) `20V`
D. (d) `15 V`

Answer

B

Explanation

(b) `e = (vec(v) xx vec(B)).vec(l)`
`e = [hat(i) xx(3hat(i) + 4hat(j) + 5hat(k))].5hat(j)`
`rarr` `e = - 25 V`