Dual Nature of Radiation and Matter - Result Question 1
1. 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 :
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======= ####1. 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 :
c3eec34ec6b1fad69db54a20ad4b2dca40c2aa54 (a) $10^{2} V$
(b) $10^{3} V$
(c) $10^{4} V$
(d) $10 V$
[2020]
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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
