Question 576: Atoms & Nuclei

Question

Ionization potential of hydrogen atom is 13.6 eV. Hydrogen atoms in the ground state are excited by monochromatic radiation of photon energy 12.1 eV. According to Bohr's theory, the spectral lines emited by hydrogen will be

Accepted Answer

Energy required for exciting the hydrogen atom in the
ground state to orbit n is given by
E = E
n
- E
1
$$ \Rightarrow $$ 12.1 = $$ - {{13.6} \over {{n^2}}}$$ - $$\left( { - {{13.6} \over {{1^2}}}} ight)$$ = 3
$$ \Rightarrow $$ n
2
= $${{{13.6} \over {1.5}}}$$ = 9
$$ \Rightarrow $$ n = 3
Number of spectral lines emitted
= $${{n\left( {n - 1} ight)} \over 2}$$ = $${{3 	imes 2} \over 2}$$

Answer

one

Answer

two

Answer

three

Answer

four

Atoms & Nuclei

Ionization potential of hydrogen atom is 13.6 eV. Hydrogen atoms in the ground state are excited by monochromatic radiation of photon energy 12.1 eV. According to Bohr's theory, the spectral lines emited by hydrogen will be

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