Dual Nature Of Light Question 445

Question: The energy of a photon of light with wavelength 5000 $ \overset{o}{\mathop{A}}, $ is approximately 2.5 eV. This way the energy of an X-ray photon with wavelength 1 $ \overset{o}{\mathop{A}}, $ would be

Options:

A) 2.5/5000 eV

B) $ 2.5/{{(5000)}^{2}}eV $

C) $ 2.5\times 5000\ eV $

D) $ 2.5\times {{(5000)}^{2}}eV $

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Answer:

Correct Answer: C

Solution:

[c] $ E\propto \frac{1}{\lambda }\Rightarrow \frac{2.5}{E’}=\frac{1}{5000}\Rightarrow E’=(2.5)\times 5000\ eV $