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What is the colour corresponding to the wavelength of light emitted when the electron in a hydrogen atom undergoes transition from n = 4 to n = 2?
  • a)
    Blue
  • b)
    Red
Correct answer is option ''. Can you explain this answer?
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What is the colour corresponding to the wavelength of light emitted wh...


Colour corresponding to this wavelength is blue.
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What is the colour corresponding to the wavelength of light emitted wh...
The electron transition from n=4 to n=2 in a hydrogen atom corresponds to the emission of a photon with a specific wavelength. This wavelength can be calculated using the Rydberg formula:

1/λ = R(1/n2 - 1/n1)

where λ is the wavelength of the emitted photon, R is the Rydberg constant (1.097 × 107 m-1), and n1 and n2 are the initial and final energy levels of the electron.

Substituting n1 = 4 and n2 = 2, we get:

1/λ = R(1/22 - 1/42) = 3R/8

Solving for λ, we get:

λ = 8/3R = 656.3 nm

This wavelength corresponds to the red region of the spectrum, so the correct answer is option (b) Red.
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