Dual Nature Of Light Question 220

Question: An important spectral emission line has a wavelength of 21 cm. The corresponding photon energy is [MP PMT 1993]

Options:

A) $ 5.9\times {{10}^{-4}}eV $

B) $ 5.9\times {{10}^{-6}}eV $

C) $ 5.9\times {{10}^{-8}}eV $

D) $ 11.8\times {{10}^{-6}}eV $ $ (h=6.62\times {{10}^{-34}}Js;\ \ c=3\times 10^{8}m/s) $

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Answer:

Correct Answer: B

Solution:

$ E=\frac{hc}{\lambda }=\frac{3\times 10^{8}\times 6.62\times {{10}^{-34}}}{0.21\times 1.6\times {{10}^{-19}}}=5.9\times {{10}^{-6}}eV $