A bullet of mass $2 \mathrm{~g}$ is having of $2 \mu \mathrm{C}$. Through what potential difference must it…

A bullet of mass $2 \mathrm{~g}$ is having of $2 \mu \mathrm{C}$. Through what potential difference must it be accelerated, starting from rest, to acquire a speed of of $10 \mathrm{~m} / \mathrm{s}$ ?
  1. $5 \mathrm{kV}$
  2. $50 \mathrm{kV}$
  3. $5 \mathrm{~V}$
  4. $50 \mathrm{~V}$

Solution

Here we apply $\frac{1}{2} m v^2=q V$ $\begin{gathered} \Rightarrow V=\frac{1}{2} \times \frac{2 \times 10^{-3} \times 10 \times 10}{2 \times 10^{-6}} \\ =50 \mathrm{kV} \end{gathered}$

Asked in: NEET 2004

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