Question

What will be the longest wavelength in the Balmer series of hydrogen spectrum?

(a) 6557 × 10^-10 m

(b) 5557 × 10^-10 m

(c) 9557 × 10^-10 m

(d) 1557 × 10^-10 m

The question was asked in an online quiz.

I need to ask this question from Bohr Model of the Hydrogen Atom in portion Atoms of Physics – Class 12

Answer 1

Correct option is (a) 6557 × 10^-10 m

Explanation: \(\frac {1}{\lambda }\) = R \( [ \frac {1}{n_1^2} – \frac {1}{n_2^2} ] \)

\(\frac {1}{\lambda }\) = 1.098 × 10^7 \( [ \frac {1}{2^2} – \frac {1}{3^2} ] \)

λ = 36 × \(\frac {10^{-7}}{5}\) × 1.098

λ = 6557 × 10^-10 m.