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For which of the following hydrogen-like...

For which of the following hydrogen-like species, the wavelength of radiation emitted due to electron shifts from n = 2 to n= 1, has a maximum value?H H e + L i 2 + B e 3 +

A

H

B

`He^(+)`

C

`Li^(2+)`

D

`Be^(3+)`

Text Solution

Verified by Experts

The correct Answer is:
A
`(1)/(lambda)= Z^(2)R_(oo) ((1)/(n_(1)^(2))-(1)/(n_(2)^(2)))=Z^(2)R_(oo)((1)/(1^(2))-(1)/(2^(2)))=(3)/(4)Z^(2)R_(oo)`. Hence, `lambda =(4)/(3Z^(2)R_(oo))`
Lesser the value of Z (i.e. hydrogen atom) larger the wavelength.
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