MHT CET · Physics · Electrostatics
A charged particle of mass ' m ' and charge ' q ' is at rest. It is accelerated in a uniform electric field of intensity ' \(E\) ' for time ' \(t\) '. The kinetic energy of the particles after time \(t\) is
- A \(\frac{E q m}{2 t}\)
- B \(\frac{E^2 q^2 t^2}{2 m}\)
- C \(\frac{2 \mathrm{E}^2 \mathrm{t}^2}{\mathrm{mq}^2}\)
- D \(\frac{\mathrm{Eqt}}{\mathrm{m}}\)
Answer & Solution
Correct Answer
(B) \(\frac{E^2 q^2 t^2}{2 m}\)
Step-by-step Solution
Detailed explanation
\(a = \frac{qE}{m}\) \(KE = \frac{1}{2}m(at)^2 = \frac{1}{2}m\left(\frac{qE}{m}t\right)^2 = \frac{E^2 q^2 t^2}{2 m}\)
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