calculate the wave number of radiation due to transition of electron from 4th orbit to 2nd orbit (RH =109677cm)
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calculate the wave number of radiation due to transition of electron from 4th orbit to 2nd orbit (RH =109677cm).
wave number is reciprocal of wavelength.
from Rydberg's equation,
1/λ = wave number = RZ² [1/n1² - 1/n2² ]
where Z is Rydberg's constant.given, R = 109677 cm-¹ .
you didn't mention atomic no of Z.
let's assume, we have to find wave number of hydrogen atom.
for hydrogen atom, Z = 1
n1 = 2 and n2 = 4
now, wave number = 109677 × 1² [1/2² - 1/4²]
= 109677 × [1/4 - 1/16] cm-¹
= 109677 × 3/16 cm-¹
= 20,564.4375 cm-¹
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