Modern Physics> Monochromatic radiation of wavelength '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'????

VIDYARANI SINGADI , 6 Years ago

Grade 12th pass

1 Answers

Arun

Last Activity: 6 Years ago

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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Modern Physics> Monochromatic radiation of wavelength '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'????

VIDYARANI SINGADI , 6 Years ago

Arun

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