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  • 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:Option:

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:

Option: 1

7.9 \times 10^4 \mathrm{~K}


Option: 2

3.5 \times 10^4 \mathrm{~K}


Option: 3

5.8 \times 10^4 \mathrm{~K}


Option: 4

14 \times 10^4 \mathrm{~K}


Answers (1)

best_answer

According to kinetic interpretation of temperature,

\mathrm{KE}=\left(\frac{1}{2} \mathrm{mv}^2\right)=\frac{3}{2} \mathrm{kT}

\Rightarrow 10.2 \times 1.6 \times 10^{-19}=\frac{3}{2} \times\left(1.38 \times 10^{-23}\right) \mathrm{T} \Rightarrow 7.9 \times 10^4 \mathrm{~K}

Posted by

Ritika Harsh

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