The electron in a ground-state H atom absorbs a photon of wavelength 97. 25 nm. Energy level till where the electron move is 4
Rydberg's equation is formula which signifies relation of wavelength of incident photon and the energy level.
Rydberg's equation is used to find out the relation between the wavelength and the Energy Levels:
1/λ = RZ² (1/n₁² - 1/n₂²)
where, λ is wavelength = 97.25 nm
R is the Rydberg constant = 1.0967 × 10⁷ m
n₁ is the initial energy level i.e. the Ground state, n₁ = 1
n₂ is the higher energy level
On substitution of the above value:
1/97.25 × 10⁻⁹ = 1.0967 × 10⁷ ( 1 - 1/n₂²)
On solving,
⇒ n₂ = 4
Hence, the higher energy level is 4
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