Atomic StructureHard

Question

An electron at rest is accelerated through a potential di­fference of 200 V. If the specific charge of electron is 1.764 × 1011 C/kg, then the speed acquired by the electron is about

Options

A.8.4 × 106 cm/s
B.8.4 × 106 m/s
C.4.2 × 106 m/s
D.4.2 × 106 cm/s

Solution

$eV = \frac{1}{2}mv^{2} \Rightarrow v = \sqrt{2 \times \frac{e}{m} \times V} = \sqrt{2 \times 1.764 \times 10^{11} \times 200} = 8.2 \times 10^{6}\text{ m/s}$

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