calculate the wave number of radiation due to transition of electron f

1.	calculate the wave number of radiation due to transition of electron from 4th orbit to 2nd orbit (RH =109677cm)
Answer» 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

calculate the wave number of radiation due to transition of electron from 4th orbit to 2nd orbit (RH =109677cm)

Answer»

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