If electron makes a transition from 3rd orbit to 1st orbit in H-atom, the wave number of photon for this transition is xR/y. The value of |y – x| is___ [Here R is Rydberg constant]
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Given info : if electron makes a transition from 3rd orbit to 1st orbit in H atom, the wave number of photon for this transition is xR/y.
We have to find the value of |y - x|
Solution : from Rydberg's equation,
1/λ = RZ²[1/n₁² - 1/n₂²]
here n₁ = 1 , n₂ = 3 , Z = 1 ( for H - atom)
so, 1/λ = R(1)² [1/1² - 1/3²]
= R[1 - 1/9]
= 8R/9
we know, wave number is the reciprocal of wavelength.
so, wave number = xR/y = 8R/9
⇒x = 8 and y = 9
Therefore the value of |y - x| = |9 - 8| = 1
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