A electron ( e ⁻ ) is accelerated by V volts experiences a force F , when it enters in a uniform magnetic field. What will the force experienced when it is accelerated by 2 V ?

Step-by-step solution

When e ⁻ is accelerated by V volts, then work done by e ⁻ is equals to kinetic energy of e ⁻ . or qV = 1 2 mv ^2 Then, the velocity of e ⁻ is v = 2 qV m or v = k V . When e ⁻ accelerated by V volts, then v = k V . Force experiences by e ⁻ in a uniform magnetic field, F = qvB or F = qk V B ...(i) When e accelerated by 2 V volts, then v ₁= k 2 ~V . F ₁= qv ₁ ~B = qk 2 VB Hence, F ₁= 2 ~F [from Eq. (i)]