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  • The orbital speed of electron in ground state of hydrogen atom is v. What will be its orbital speed when it is excited to the energy state - <img alt="1.51 \mathrm{ev}" src="/latex-image/?1.51

The orbital speed of electron in ground state of hydrogen atom is v. What will be its orbital speed when it is excited to the energy state - 1.51 \mathrm{ev} ?
 

Option: 1

\mathrm{ \frac{v}{4} }


Option: 2

\mathrm{2 v }


Option: 3

\mathrm{\frac{v}{2} }


Option: 4

\mathrm{ \frac{v}{3}}


Answers (1)

best_answer

\begin{aligned} &\mathrm{Use, n^2=\frac{-13.6}{\epsilon_n}}\\ &\mathrm{Given, E_n=-1.51 then}\\ &\mathrm{ n^2=\frac{-13.6}{-1.51}=9 }\\ &\mathrm{ n=3}\\ &\mathrm{Now,}\\ &\mathrm{ v_\alpha \frac{1}{n} }\\ &\mathrm{ \frac{v_3}{v_1}=\frac{1}{3} \Rightarrow v_3=\frac{v_1}{3} }\\ &\mathrm{ u_3=\frac{v_0}{3}} \end{aligned}

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