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Question

Physics Question on Atoms

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 emitted by hydrogen will be :

A

two

B

three

C

four

D

one

Answer

three

Explanation

Solution

Ionization potential of hydrogen atom is 13.6 eV. Energy required for exciting the hydrogen atom in the ground state to orbit n is given by
E = En-E1
12.1 = 13.6n2\frac{-13.6}{n^2}
or, n = 3

Therefore, the correct option is (B): three