Dual Nature Of Radiation And Matter Ques 5
5. An electron is accelerated from rest through a potential difference of $V$ volt. If the de Broglie wavelength of the electron is $1.227 \times 10^{-2} $ $nm$, the potential difference is :
[2020]
(a) $10^{2} $ $V$
(b) $10^{3} $ $V$
(c) $10^{4} $ $V$
(d) $10 $ $V$
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Answer:
Correct Answer: 5.(c)
Solution:
- (c) Using, $\lambda=\frac{12.27}{\sqrt{V}} \AA$
$\Rightarrow \sqrt{V}=\frac{12.27 \times 10^{-10}}{1.227 \times 10^{-11}}=10^{2}$
[Given, $\lambda=1.227 \times 10^{-11} m$ ]
$\therefore V=10^{4}$ volt
BETA
