Question

calculate the frequency of the n= 2 line in the Lyman series of hydrogen

Answer 1

$\huge\mathbb{\purple{QUESTION-}}$

Calculate the frequency of the n= 2 line in the Lyman series of hydrogen

$\huge\mathbb{\purple{SOLUTION-}}$

✪$\large{\boxed{\bf \blue{ f=\dfrac{1}{\lambda}=RZ^2\left[\dfrac{1}{n_1^2}-\dfrac{1}{n_2^2}\right] }}}$

Here ,

f = frequency

${\sf n_1=1}$ Lyman series

${\sf n_2=2}$ Given

R = Rydberg Constant

Z = 1 for Hydrogen

$\implies{\sf R×1^2\left[\dfrac{1}{1^2}-\dfrac{1}{2^2}\right]}$

$\implies{\sf R\left[\dfrac{1}{1}-\dfrac{1}{4}\right]}$

$\implies{\sf R\left[\dfrac{4-1}{4}\right]}$

$\implies{\bf \red{ f=\dfrac{3}{4}R} }$

$\huge\mathbb{\purple{ANSWER-}}$

Frequency is ${\bf \red{\dfrac{3}{4}R}\:Hz}$

Answer 2

Answer:

3/4RHz is the frequency.