Nuclear Physics And Radioactivity Question 77

Question: The first excited state of hydrogen atom is 10.2 eV above its ground state. The temperature is needed to excite hydrogen atoms to first excited level, is [Pb. PET 2003]

Options:

A) $ 7.9\times 10^{4}K $

B) $ 3.5\times 10^{4}K $

C) $ 5.8\times 10^{4}K $

D) $ 14\times 10^{4}K $

Show Answer

Answer:

Correct Answer: A

Solution:

According to kinetic interpretation of temperature $ K.E.=( \frac{1}{2}mv^{2} )=\frac{3}{2}kT. $
$ \Rightarrow 10.2\times 1.6\times {{10}^{-19}}=\frac{3}{2}\times (1.38\times {{10}^{-23}})T $

รž T = 7.9 ยด 104K.



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