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A gas of hydrogen - like ion is perpendi...

A gas of hydrogen - like ion is perpendicular in such a way that ions are only in the ground state and the first excite state. A monochromatic light of wavelength `1216 Å` is absorved by the ions. The ions are lifted to higher excited state and emit emit radiation of six wavelength , some higher and some lower than the incident wavelength. Find the principal quantum number of the excited state identify the nuclear charge on the ions . Calculate the values of the maximum and minimum wavelengths.

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Knowledge Check

  • Hydrogen atom from excited state comes to the ground state by emitting a photon of wavelength lambda . If R is the Rydberg constant, then the principal quatum number n of the excited state is

    A
    `sqrt((lambdaR)/(lambdaR-1))`
    B
    `sqrt((lambda)/(lambdaR-1))`
    C
    `sqrt((lambdaR^2)/(lambdaR-1))`
    D
    `sqrt((lambdaR)/(lambda-1))`

  • An excited hydrogen atom emits a photon of wavelength lambda in returning to the ground state. If R is the Rydberg constant, then the quantum number n of the excited state is

    A
    `sqrt(lambda R)`
    B
    `sqrt(lambda R-1)`
    C
    `sqrt(lambda (lambdaR-1))`
    D
    `sqrt((lambda R)/(lambdaR-1))`

  • An excited hydrogen atom emits a photon of wavelength lambda in returning to the ground state. If 'R' is the Rydberg's constant, then the quantum number 'n' of the excited state is:

    A
    `sqrt(lambdaR)`
    B
    `sqrt(lambdaR-1)`
    C
    `sqrt((lambdaR)/(lambdaR-1))`
    D
    `sqrt(lambdaR(lambdaR-1))`

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