Dual Nature Of Light Question 136

Question: The de-Broglie wavelength of an electron having $ 80eV $ of energy is nearly (1eV = 1.6 ´ 10?19 J, Mass of electron = 9 ´ 10?31kg Plank?s constant = 6.6 ´ 10?34 J-sec) [EAMCET (Engg.) 2001]

Options:

A) 140 Å

B) 0.14 Å

C) 14 Å

D) 1.4 Å

Show Answer

Answer:

Correct Answer: D

Solution:

$ \lambda =\frac{h}{\sqrt{2mE}}=\frac{6.6\times {{10}^{-34}}}{\sqrt{2\times 9\times {{10}^{-31}}\times 80\times 1.6\times {{10}^{-19}}}} $ $ =1.4{\AA} $