The wavelength of the energy emitted when electron come from fourth orbit to second orbit in hydrogen is 20,397 text cm-1 . The wavelength of energy for the same transition in He+ is :

Question

The wavelength of the energy emitted when electron come from fourth orbit to second orbit in hydrogen is 20,397 text cm-1 . The wavelength of energy for the same transition in He+ is : (A)  81,988cm-1  (B)  40,994cm-1  (C)  20,497cm-1  (D)  5,099 text cm-1

Tardigrade Admin · Accepted Answer

As λ propto (1/Z2) Hence wavelength of energy for same transition in He is, here Z = 2 hence, (20397/4)=5099 text cm-1

Q. The wavelength of the energy emitted when electron come from fourth orbit to second orbit in hydrogen is $20, 397 c m^{- 1}$ . The wavelength of energy for the same transition in He+ is :

$81, 988 c m^{- 1}$

$40, 994 c m^{- 1}$

$20, 497 c m^{- 1}$

$5, 099 c m^{- 1}$

As $λ \propto \frac{1}{Z ^{2}}$ Hence wavelength of energy for same transition in He is, here Z = 2 hence, $\frac{20397}{4} = 5099 c m^{- 1}$

Q. The wavelength of the energy emitted when electron come from fourth orbit to second orbit in hydrogen is 20,397cm−1 . The wavelength of energy for the same transition in He+ is :

81,988cm−1

40,994cm−1

20,497cm−1

5,099cm−1