Q. The first excited state of hydrogen atom is 10.2 eV above its ground state. The temperature needed to excite hydrogen atoms to first excited level, is :

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Solution:

According to kinetic interpretation of temperature $ {{t}_{1}}=5s,a=? $ Given : $ a=\frac{{{s}_{2}}-{{s}_{1}}}{{{t}^{2}}}=\frac{65-40}{{{(5)}^{2}}} $ So, $ =\frac{25}{25}=1m/{{s}^{2}} $ Or $ {{s}_{1}}=ut+\frac{1}{2}a{{t}^{2}} $ $ 40=5u+\frac{1}{2}\times 1\times 25 $ $ 5u=27.5\,\,or\,\,\,u=5.5m/s $