Calculate the wavenumber of the photon emitted during transition from the orbit of $n=2$ to $n=1$ in hydrogen atom. [ $R_{H}=109677\text{ cm}^{-1}$]
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Logic Tip: The fraction $\frac{3}{4}$ represents $75%$. You can quickly estimate $75%$ of $110,000$, which is $82,500$. Only option D ($82257.8$) is in this approximate range!