A magnetic field

Given -

Magnetic field, B = 4.0 × 10^–3 T

Electric charge on the particle, q = 1 × 10⁻⁹ C

Also given that the charge is going in the X-Y plane,

Therefore, the x-component of force, F_x = 4 × 10⁻¹⁰ N

and the y-component of force, F_y = 3 × 10⁻¹⁰ N

We know, Lorentz force F is given by -

where,

q = charge

v = velocity of the charge

B=magnetic field

and

θ= angle between V and B

On putting the respective values, we get

Let’s take motion along x-axis-

From (1)

Similarly, motion along y-axis

from (1)

Hence. velocity of the particle, = m/s