What is energy associated with fourth orbit of hydrogen atom? $\left(R_H=2.18 \times 10^{-18}…

What is energy associated with fourth orbit of hydrogen atom? $\left(R_H=2.18 \times 10^{-18} \mathrm{~J}\right)$
  1. $-0.436 \times 10^{-18} \mathrm{~J}$
  2. $-0.545 \times 10^{-18} \mathrm{~J}$
  3. $-0.242 \times 10^{-18} \mathrm{~J}$
  4. $-0.136 \times 10^{-18} \mathrm{~J}$

Solution

$\begin{aligned} E_4 & =-2.18 \times 10^{-18} \frac{(1)^2}{(4)^2} \mathrm{~J} \\ & =-0.136 \times 10^{-18} \mathrm{~J} \end{aligned}$ (For H atom, $\mathrm{Z}=1$ )

Asked in: MHT CET 2024 (02 May Shift 1)

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