In a sample of H atoms, electrons make transition from fifth state to ground state producing all possible wavelengths, then the value of the fifth highest energy line (in eV ) is

Question

In a sample of H atoms, electrons make transition from fifth state to ground state producing all possible wavelengths, then the value of the fifth highest energy line (in eV ) is (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

In the hydrogen spectrum, Balmer series lines have second highest energy.

\Rightarrow 5^{th}

highest energy line belongs to

5 \to 2

transition.

\Rightarrow Δ E = 2.86 e V

Clearly

5^{th}

highest line is

5 \to 2

\Rightarrow Δ E = 3.4 - 0.54 = 2.86 e V

.

Q. In a sample of H atoms, electrons make transition from fifth state to ground state producing all possible wavelengths, then the value of the fifth highest energy line (in eV ) is

In the hydrogen spectrum, Balmer series lines have second highest energy. ⇒5th highest energy line belongs to 5→2 transition. ⇒ΔE=2.86eV Clearly 5th highest line is 5→2 ⇒ΔE=3.4−0.54=2.86eV.

Q. In a sample of $H$ atoms, electrons make transition from fifth state to ground state producing all possible wavelengths, then the value of the fifth highest energy line (in $e V$ ) is

In the hydrogen spectrum, Balmer series lines have second highest energy.
$\Rightarrow 5^{th}$ highest energy line belongs to $5 \to 2$ transition. $\Rightarrow Δ E = 2.86 e V$

Clearly $5^{th}$ highest line is $5 \to 2$
$\Rightarrow Δ E = 3.4 - 0.54 = 2.86 e V$ .