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  • for above transitions in hydrogen like atoms, select the correc

for above transitions in hydrogen like atoms, select the correct relation (s)

Option: 1

\mathrm{\nu_3=\nu_2-\nu_1}


Option: 2

\mathrm{\lambda_3=\lambda_2+\lambda_1}


Option: 3

\mathrm{\lambda_3=\frac{\lambda_1 \lambda_2}{\lambda_1+\lambda_2}}


Option: 4

\mathrm{\nu_3=\frac{\nu_1 \nu_2}{\nu_1+\nu_2}}


Answers (1)

best_answer

\begin{aligned} & \mathrm{E_3=E_1+E_2} \\ \\&\mathrm{ h \nu_3=h \nu_1+h \nu_2} \\ \\& \mathrm{\nu_3=\nu_1+\nu_2} \end{aligned}

\begin{aligned} & \mathrm{\frac{c}{\lambda_3}=\frac{c}{\lambda_1}+\frac{c}{\lambda_2}} \\ \\& \mathrm{\frac{1}{\lambda_3}=\frac{1}{\lambda_1}+\frac{1}{\lambda_2}} \end{aligned}

\lambda_3=\frac{\lambda_1 \lambda_2}{\lambda_1+\lambda_2}

\therefore Option (3) is the right answer.

Posted by

sudhir kumar

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