An electron enters an electric field having intensity `vec(E )= (3 hat(i) + 6hat(j) +2 hat(k)) Vm^(-1)` and magnetic field having induction `vec(B)= (2 hat(i) + 3hat(j))` T with a velocity `vec(V)= (2 hat(i) + 3hat(j)) ms^(-1)`. The magnitude of the force acting on the electron is (Given `e= -1.6 xx 10^(-19)C`)

Options

A. `2.02 xx 10^(18)N`
B. `5.16 xx 10^(-16)N`
C. `3.72 xx 10^(-17)N`
D. none of the above

Explanation

To find the magnitude of the force acting on the electron in the given electric and magnetic fields, we can use the Lorentz force equation:

\[ \vec{F} = q(\vec{E} + \vec{V} \times \vec{B}) \]

where:
- \( \vec{F} \) is the total force,
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