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The wavelength correspoding to electroni...

The wavelength correspoding to electronic transition between to orbit of hydrogen atom is 912 Å. The wavelength (in Å) for the same electronic transition in `Li^(2+)` is

A

101.3

B

202.6

C

303.9

D

50.65

Text Solution

Verified by Experts

The correct Answer is:
A

`(a) :. E= (hc)/(lambda), i.e.Ealpha (1)/(lambda) and E alpha (z^(2))/(n^(2)`
for same valueof `(n) E alpha z^(2)`
Thus ,E `alpha z^(2) alpha (1)/(lambda)`
where E = energy ,`lambda` = wavelength
z = atomic number
There for `Z _((H))`
`Z_((Li)) = 3 " "implies " " lambda _((H)) = 921`Å
`alpha _((Li)) = ` To find
` (Z_((H))^(2))/(Z_((Li))^(2)) = (lambda_((Li)))/(lambda _((H))) or lambda _((Li)) = (1 xx912)/(9)`
`lambda _((Li))101.3`Å
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