An electron with an initial speed of $4.0 \times 10^6 \,ms ^{-1}$ is brought to rest by an electric field. The mass and charge of an electron are $9 \times 10^{-31} \,kg$ and $1.6 \times 10^{-19} \,C$, respectively. Identify the correct statement.
KVPY 2013, Medium
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(d)

From, $q V=\frac{1}{2} m v^2$

where, $V$ is stopping potential.

$V=\frac{m v^2}{2 q}$

$=\frac{9 \times 10^{-31} \times\left(4 \times 10^6\right)^2}{2 \times 16 \times 10^{-19}}$

$\approx 45 \,V$

So, electron must move across a potential difference of $45 \,V$ from higher to lower potential.

art

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