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. `0`
B. `25 V`
C. `20 V`
D. `15 V`

Answer

B

Explanation

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