Question

The absorption transition lines between ground state and nth state of hydrogen atom is 4. The emission transition lines between these energy states will be​

Answer 1

Given that,

Absorption transition = 4

Transition ground state to nth state

Suppose, if transition ground state to fifth state

We need to calculate the emission transition lines between ground state to 5th state

Using formula of emission transition lines

$N_{E}=\dfrac{n(n-1)}{2}$

Where, n = quantum number

Put the value into the formula

$N_{E}=\dfrac{5^2-5}{2}$

$N_{E}=10$

The emission transition lines between ground state to 5th state is 10.

So, The emission transition lines between ground state to nth state will be

$N_{E}=\dfrac{n(n-1)}{2}$

Hence, The emission transition lines between these energy states is $\dfrac{n(n-1)}{2}$