Question

The energy levels the electron can occupy in the Be3+ ion can be calculated using the energy level equation. Calculate the frequency (Hz) of the photon absorbed when the electron goes from a n= 2.00 energy level to a n= 4 energy level. Express answer in scientific notation.

Answer 1

1.32×10^16 hz

Explanation:using Rydberg equation:

1/λ = RH •Z^2[ (1/n1) - (1/n2) ]

RH = Rydberg constant = 1.097 x 10^7 m-1)

n1 and n2 = energy levels (n2 >n1)

Z = atomic number = 4

Substitute

1/λ = 1.097×10^7 • 4^2[ (1/2) - (1/4) }

λ = 2.28 × 10^-8m

From the equation of light

C= fλ

C=3×10^8m/s

f = 3×10^8/2.28×10^-8

f = 1.32×10^16 hz