TS EAMCET · Physics · Atomic Physics
A monochromatic radiation of wavelength \(\lambda\) is incident on a hydrogen sample in ground state. The sample subsequently emits radiation of six different wavelengths, then the value of \(\lambda\) is [Use ch \(=1242 \mathrm{eV}-\mathrm{m}\) ]
- A 80 nm
- B 85.5 nm
- C 97.4 nm
- D 100.2 nm
Answer & Solution
Correct Answer
(C) 97.4 nm
Step-by-step Solution
Detailed explanation
Number of line emitted \(=6, n_i=1, n_f=4\) \(\begin{aligned} \frac{n(n-1)}{2} & =6 \\ n^2-n-12 & =0 \\ (n-4)(n+3) & =0 \\ n=4, n & =-3 \quad \text{(Not possible)} \end{aligned}\) Using, \(\frac{1}{\lambda}=R \sqrt{\left(\frac{1}{n_i^2}-\frac{1}{n_f^2}\right)}\)…
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