JEE Mains · Chemistry · STD 11 - 2. structure of atom
The hydrogen spectrum consists of several spectral lines in Lyman series \(\left( L _1, L_2, L_3 \ldots ; L _1\right.\) has lowest energy among Lyman series). Similarly it consists of several spectral lines in Balmer series ( \(B _1, B_2\), \(B _3 \ldots; B _1\) has lowest energy among Balmer lines). The energy of \(L_1\) is \(x\) times the energy of \(B_1\).
The value of \(x\) is __________ \(\times 10^{-1}\) (Nearest inteter)
- A 27
- B 54
- C 108
- D 36
Answer & Solution
Correct Answer
(B) 54
Step-by-step Solution
Detailed explanation
\( \Delta E(L_1) = 13.6 \times Z^2 (\frac{1}{1^2} - \frac{1}{2^2}) = 13.6Z^2 \times \frac{3}{4} \) \( \Delta E(B_1) = 13.6 \times Z^2 (\frac{1}{2^2} - \frac{1}{3^2}) = 13.6Z^2 \times {\frac{5}{4 \times 9}} \)…
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