In   L i + + ,electron in first Bohr orbit is excited to a level by a radiation of wavelength   λ .When the ion gets de excited to the ground state in all possible ways (including intermediate emissions), a total of six spectral lines are observed. What is the value of   λ…

Question

In &#160; L i + + ,electron in first Bohr orbit is excited to a level by a radiation of wavelength &#160; &#955; .When the ion gets de excited to the ground state in all possible ways (including intermediate emissions), a total of six spectral lines are observed. What is the value of &#160; &#955; ? (Given: &#160; h = 6.63 &#215; 10 - 34 &#160; J &#160; s &#160; ; c = 3 &#215; 10 8 &#160; m &#160; s - 1 )

Aicharya · Accepted Answer

Total Number of possible spectral lines that can be emmited when atom de-excites from state

n

to groundstate is

{}^{n}C_{2}

∴^{n} C_{2} = 6 \Rightarrow \frac{n (n - 1)}{2} = 6 \Rightarrow n = 4

\frac{1}{λ} = R z^{2} (\frac{1}{1^{2}} - \frac{1}{4^{2}}) = 1.097 \times 10^{7} \times 9 \times (1 - \frac{1}{16})

\Rightarrow λ = 10.8 n m

In   L i + + ,electron in first Bohr orbit is excited to a level by a radiation of wavelength  …

Solution

In &#160; L i + + ,electron in first Bohr orbit is excited to a level by a radiation of wavelength &#160;…

Solution

In L i + + ,electron in first Bohr orbit is excited to a level by a radiation of wavelength …