Dual Nature Of Radiation And Matter Ques 16

16. An electron is accelerated through a potential difference of $10,000 $ $V$. Its de Broglie wavelength is, (nearly): $(m_e=9 \times10^{-31} kg)$

[2019]

(a) $12.2 \times 10^{-13} $ $m$

(b) $12.2 \times 10^{-12}$ $ m$

(c) $12.2 \times 10^{-14}$ $ m$

(d) $12.2$ $ nm$

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Answer:

Correct Answer: 16.(b)

Solution:

  1. (b) de-Broglie wavelength of electron

$ \lambda=\frac{12.27}{\sqrt{V}} \AA=\frac{12.27 \times 10^{-10}}{\sqrt{10000}}=12.27 \times 10^{-12}$ $ m $