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Question: The wavelength of the first line of the Lyman series of a ten times ionised sodium atom (Z = 11) is ...

The wavelength of the first line of the Lyman series of a ten times ionised sodium atom (Z = 11) is nearly-

A

1216 Å

B

(\frac{1216}{11})Å

C

(\frac{1216}{(11)^{2}})Å

D

(\frac{1216}{(11)^{3}})Å

Answer

1216(11)2\frac{1216}{(11)^{2}}Å

Explanation

Solution

1λ=RZ2[112122]\frac{1}{\lambda} = RZ^{2}\left\lbrack \frac{1}{1^{2}} - \frac{1}{2^{2}} \right\rbrack

\ 1λ\frac{1}{\lambda} = (11)2 (1.097 ×107) (34)\left( \frac{3}{4} \right)

\ l = 1216(11)2\frac{1216}{(11)^{2}}Å