Use h = 6.626x10^-34 J s, 1 eV = 1.6x10^-19 J and E_1 = -13.6 eV. Find the frequency of the photon emitted in the n=3-> n=1 transition of hydrogen, in units of 10^15 Hz (two decimals).

JEE Main levelNumerical answerDifficulty 2 of 3as082

Use $h = 6.626 \times 1 0^{- 34} J s$ , $1 eV = 1.6 \times 1 0^{- 19} J$ and $E_{1} = - 13.6 eV$ . Find the frequency of the photon emitted in the $n = 3 \to n = 1$ transition of hydrogen, in units of $1 0^{15} Hz$ (two decimals).

Numerical answer type, answer in 1e15 Hz, tolerance 0.02.

Δ E = 13.6 \times 8/9 = 12.089 eV = 1.934 e - 18 J

. Then

ν = Δ E / h = 2.92 \times 1 0^{15} Hz