Question

The frequency of the spectral line obtained when the electron in n = 3 of hydrogen atom drops to the ground state is:

• A. 2.925 X 10¹⁵ Hertz
• B. 2.925 X 10¹³ Hertz
• C. 2.925 X 10¹⁴ Hertz
• D. 36559 X 10¹⁰ Hertz

Answer 1

The correct option is A

2.925 X 10¹⁵ Hertz

v=cR$(\frac{1}{n_1^2}$-$\frac{1}{n_2^2}$)

=$3\times {10}^{10}\times 1.09\times {10}^5(\frac{1}{1}$-$\frac{1}{9}$)

=$2.925\times {10}^{15}$Hz