CUET · PHYSICS · PYQ PAPER 2023
The shortest wavelength present in the Lyman series of spectral lines is : (Given Rydberg constant \( R = 1.097 \times 10^7 \text{ m}^{-1} \))
- A \( 9.1 \times 10^{-8} \text{ m} \)
- B \( 1.2 \times 10^{-7} \text{ m} \)
- C \( 8.2 \times 10^7 \text{ m} \)
- D \( 9.1 \times 10^8 \text{ m} \)
Answer & Solution
Correct Answer
(A) \( 9.1 \times 10^{-8} \text{ m} \)
Step-by-step Solution
Detailed explanation
\( \frac{1}{\lambda} = R \left( \frac{1}{n_1^2} - \frac{1}{n_2^2} \right) \) For shortest wavelength in Lyman series: \( n_1 = 1, n_2 = \infty \) \( \frac{1}{\lambda_{min}} = R \left( \frac{1}{1^2} - \frac{1}{\infty^2} \right) = R \)…
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