Monochromatic radiation of wavelength 'x' is incident on a hydrogen sample in ground state . Hydrogen atoms absorb a fraction of light and subsequently emit radiation of six wavelengths. Find the value of 'x'????

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Arun · Answer

Dear student from the eqn. for ground state n(n-1)/2 = 6 n^2 – n – 12 = 0 n^2 – 4n + 3n – 12 = 0 (n-4) (n+3) = 0 n = 4 Therfore, 1/x = R*1^2(1/1^2 – 1/4^2) 1/x = R*(1 – 1/16) => 15R/16 x = 16/15R = 16*10^7/(15 *1.09) is the answer. = 0.978593 * 10^7 meter. Regards Arun (askIITians forum expert)

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Monochromatic radiation of wavelength 'x' is incident on a hydrogen sample in ground state . Hydrogen atoms absorb a fraction of light and subsequently emit radiation of six wavelengths. Find the value of 'x'????

Monochromatic radiation of wavelength 'x' is incident on a hydrogen sample in ground state . Hydrogen atoms absorb a fraction of light and subsequently emit radiation of six wavelengths. Find the value of 'x'????

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