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Question

Question: An electron is accelerated through a potential difference of 1000 volt. The velocity acquired by the...

An electron is accelerated through a potential difference of 1000 volt. The velocity acquired by the electron is –

A

4 × 108 m/s

B

1.88 × 107 m/s

C

5 × 108 m/s

D

None of these

Answer

1.88 × 107 m/s

Explanation

Solution

12\frac{1}{2}mv2 = eV0

v = 2eV0m\sqrt{\frac{2eV_{0}}{m}} = 2×1.6×1019×10009.1×1031\sqrt{\frac{2 \times 1.6 \times 10^{–19} \times 1000}{9.1 \times 10^{–31}}}

= 1.88 × 107 m/s