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Energy liberated in the de-excitation of...

Energy liberated in the de-excitation of hydrogen atom from the third level falls on a photo-cathode. Later when the same hoto-cathode is expoced to a spectrum of some unknown - like gas, excited to the second energy level , it is found that the de Broglie wavelength of the fastest photoelectrons now ejected has decreased by a factor of `3`. For this new gas, difference of energies of the second Lyman line and the first balmer line is found to be `3` times the ionization potential of the hydrogen atom. Select the correct statement (s):

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A photoelectric plate is initially exposed to a spectrum of hydrogen gas excited to second energy level. Late when the same photoelectric plate is exposed to a spectrum of some unknown hydrogen like gas, excited to second energy level. It is found that the de-Broglie wavelength of the photoelectrons now ejected has increased sqrt(6.1) times. For this new gas difference of energies of first Lyman line and Balmer series limit is found to be two times the ionization energy of the hydrogen atom is ground state. Detect the atom and determine the work function of the photoelectric plate.

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