A bullet of mass 2 g is having a charge of 2μC. Through what potential difference must it be accelerated, starting from rest, to acquire a speed of 10 m/s ?

A bullet of mass 2 g is having a charge of 2μC. Through what potential difference must it be accelerated, starting from rest, to acquire a speed of 10 m/s ?

(a) 50 V

(b) 5kV

(c) 50kV

(d) 5 V

Answer :  (c) 50kV

\( \text{P.E} = k \cdot E \)

\( qV = \frac{1}{2} mv^2 \)

\( 2 \mu V = \frac{1}{2} \cdot 2 \times 10^{-3} \cdot 10^2 \)

\( = 0.5 \times 10^0 \)

\( = 50 \times 10^3 \)