An electron moving at right angles to a 0.1 t magnetic field experiences an acceleration of 6 × 1015 m. s-2. what is the speed of the electron? how much does its speed change in 1 ns (10-9 s)?

Explanation:

It is given that,

Magnetic field, B = 0.1 T

Acceleration,

Charge on electron,    

Mass of electron,    

(a) The force acting on the electron when it is accelerated is, F = ma

The force acting on the electron when it is in magnetic field,

Here,

So,

Where

v is the velocity of the electron

B is the magnetic field

v = 341250  m/s

or

So, the speed of the electron is

(b) In 1 ns, the speed of the electron remains the same as the force is perpendicular to the cross product of velocity and the magnetic field.