Question

# If the series limit frequency of the Lyman series is $$v_L$$, then the series limit frequency of the P fund series is?

A
vL/16
B
vL/25
C
25vL
D
16vL

Solution

## The correct option is B $$v_L/25$$given that $$\bar{\nu}=R[\frac{1}{n_1^2}-\frac{1}{n_2^2}]$$for lyman wave number $$\bar{\nu}=\frac{1}{\lambda}$$so $$\nu=RC[\frac{1}{n_1^2}-\frac{1}{n_2^2}]$$$$\nu=RC[\frac{1}{1^2}-\frac{1}{\infty}]$$so $${\nu}_l=RC$$for Pfund $$\nu_p=RC[\dfrac{1}{5^2}-\dfrac{1}{\infty}]$$  $$=\dfrac{RC}{25}=\dfrac{\nu_l}{25}$$so option B is correct.Physics

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