Given the value of rydberg constant is 10 m^-1, the wave number of the last line of the Balmer series in hydrogen spectrum will be:

0.5 x 10⁷ m^-1

0.25 x 10⁷ m^-1

2.5 x10⁷m^-1

0.025 x 10⁴ m^-1

Solution

0.25 x 10⁷ m^-1

Rydberg constant, r = 10⁷ m^-1
For last line in Balmer series,

n₂ =

infinity

; n₁ = 2We know,

space space space space 1 over straight lambda equals space R open parentheses 1 over n subscript 1 squared minus 1 over n subscript 2 squared close parentheses rightwards double arrow space 1 over straight lambda equals italic 10 to the power of italic 7 open parentheses 1 over 2 squared minus 1 over italic infinity close parentheses italic rightwards double arrow italic space nu with italic bar on top italic space italic equals italic space italic 1 over lambda italic equals italic 10 to the power of italic 7 over italic 4 italic space italic space italic space italic space italic space italic space italic space italic space italic space italic equals italic 0 italic. italic 25 italic space x italic space italic 10 to the power of italic 7 italic space m to the power of italic minus italic 1 end exponent

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