MCQ
If in hydrogen $e^-$ jumps from $3^{rd}$ lymen line to Ist lymen line then obtained wavelength is
- ✓$\frac{{16}}{{3R}}$
- B$\frac{{1}}{{4R}}$
- C$\frac{{3}}{{4R}}$
- D$\frac{{15}}{{4R}}$
✓
Answer
Correct option: A.
$\frac{{16}}{{3R}}$
a
$\begin{aligned} \frac{1}{\lambda} &=R\left[\frac{1}{2^{2}}-\frac{1}{4^{2}}\right] \\ \frac{1}{\lambda} &=R\left[\frac{1}{4}-\frac{1}{16}\right] \\ \frac{1}{\lambda} &=R\left[\frac{3}{16}\right] \\ \lambda &=\frac{16}{3 R} \end{aligned}$
$\begin{aligned} \frac{1}{\lambda} &=R\left[\frac{1}{2^{2}}-\frac{1}{4^{2}}\right] \\ \frac{1}{\lambda} &=R\left[\frac{1}{4}-\frac{1}{16}\right] \\ \frac{1}{\lambda} &=R\left[\frac{3}{16}\right] \\ \lambda &=\frac{16}{3 R} \end{aligned}$
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