a hydrogen atom is excited to the n =8 energy level it emits a photon of light as it falls to the n = 2 energy level.calculate the frequency of the light emitted
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Answer:
The frequency of the light emitted is 833.33×10^8 Hz.
Explanation:
Given: n1 = 8
n2 = 2
To find: Frequency of the light emitted
Solution:
According to the Rydberg's equation,
1/λ = R [1/n1^2 - 1/n2^2]
1/λ = 109677 cm^-1 [1/8² - 1/2²]
1/λ = 274.19m^-1
λ = 0.0036 m
Therefore, wavelength is 0.0036 m.
Now, frequency is given by:
f = v/λ
(∵ Frequency = Speed of light/ Wavelength)
f = 3×10^8ms^-1 / 0.0036 m
f = 833.33×10^8 Hz
Therefore, the frequency of the light emitted is 833.33×10^8 Hz.
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