MHT CET · Physics · Atomic Physics
The frequencies for series limit of Balmer and Paschen series are ' \(v_1{ }^{\prime}\) and ' \(v_3\) ' respectively. If frequency of first line of Balmer series ' \(v_2\) ' then the relation between \(v_1, v_2\) and \(v_3\) is
- A \(v_1-v_3=2 v_1\)
- B \(v_1+v_2=v_3\)
- C \(v_1-v_2=v_3\)
- D \(v_1+v_3=v_2\)
Answer & Solution
Correct Answer
(C) \(v_1-v_2=v_3\)
Step-by-step Solution
Detailed explanation
\(v_1 = Rc \left(\frac{1}{2^2} - \frac{1}{\infty^2}\right) = \frac{Rc}{4}\) \(v_3 = Rc \left(\frac{1}{3^2} - \frac{1}{\infty^2}\right) = \frac{Rc}{9}\)
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