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QAIPM-2011-Ph-1888: NEET 2011 Physics - Class 12 AIPM-2011-Ph-1888 Solution: The wavelength of the first line of Lyman series for hydrogen…
The wavelength of the first line of Lyman series for hydrogen atom is equal to that of the second line of Balmer series for a hydrogen like ion. The atomic number Z of hydrogen like ion is
Multiple Choice Options
- A 3
- B 4
- C 1
- D 2
Step-by-Step Verified Solution
The wavelength of the first line of lyman
series for hydrogen atom is
1 _ = R ( 1 1 2 _ 1 2 2 )
The wavelength of the second line of Balmer series
for hydrogen like ion is
1 _ _ = R Z 2 ( 1 2 2 _ 1 4 2 )
According to question
_ = _ '
R ( 1 1 2 _ 1 2 2 ) = R Z 2 ( 1 2 2 _ 1 4 2 )
_ 3 4 = 3 Z 2 16
_ Z = 2