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Question

Question: If the ionization energy of a hydrogen-like Bohr atom is 4 Rydberg, then the wavelengths of radiatio...

If the ionization energy of a hydrogen-like Bohr atom is 4 Rydberg, then the wavelengths of radiation emitted when the electron jumps from first excited state to the ground state and the radius of the first orbit of this atom are-

A

3.04 Å, 0.53 Å

B

304 Å, 0.265 Å

C

912 Å, 0.53 Å

D

3.04 Å, 0.265 Å

Answer

304 Å, 0.265 Å

Explanation

Solution

1λ\frac{1}{\lambda} = RZ2(1n121n22)\left( \frac{1}{n_{1}^{2}} - \frac{1}{n_{2}^{2}} \right)