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What is the wavelength of light emitted ...

What is the wavelength of light emitted when the electron in a hydrogen atom undergoes transition from the energy level with `n=4` to the energy level with `n=1` ?

Text Solution

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According to Rydberg's formula, `bar(v)(cm^(-1))=109,677((1)/(n_(1)^(2))-(1)/(n_(2)^(2)))`
In the present case `n_(2) = 4` and `n_(1)=1`
`bar(v)=109,677((1)/((1)^(2))-(1)/((1)^(2)))=109,677xx(15)/(16)=102822cm^(-1)`
`lambda = (1)/(bar(v))=(1)/(102822)cm=9.7xx10^(-6)cm=9.7xx10^(-6)xx10^(7)nm=97nm`.
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Knowledge Check

  • The wavelength of the spectral line when the electron is the hydrogen atom undergoes a transition from the energy level 4 to energy level 2 is.

    A
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    B
    486 m
    C
    `486 Å`
    D
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    A
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    B
    Red
    C
    Yellow
    D
    Green

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