Question

Energy, Wavelength, Frequency Problem: Show your work neatly and methodically.

Consider an electron in the hydrogen atom giving off light which has a wavelength of 625 nm, according to the Balmer Series.

a) From what energy level in the hydrogen atom did the electron fall to emit this light?

b) What is the frequency of this light?

c) What is the energy of this light?

2. a) Use the de Broglie relationship to determine the wavelength of a 85 kg person skiing at 50 km/hr.

b) Consider an electron in the hydrogen atom giving off blue light of a wavelength of 434 nm, according to the Balmer Series. --- From what energy level in the hydrogen atom did the electron fall to emit this blue light? --- What is the frequency of this light? --- What is the energy of this light?

3. Energy, Wavelength, Frequency Problems:

a) Use the de Broglie relationship to determine the wavelength of a 10.0 gram bullet fired at 250 m/s.

b) Consider an electron in the hydrogen atom giving off red light of a wavelength of 656 nm, according to the Balmer Series. --- From what energy level in the hydrogen atom did the electron fall to emit this red light? --- What is the frequency of this light

Answer 1

a)

(1/(625*10^(-7))) = 109677((1/2^2)-(1/x^2))

x = 3 = third energy level

b)

   frequency = c/wavelength

    = (3*10^8/(625*10^(-9))) = 4.8*10^14 hz

c)

E = hv

   = (6.625*10^(-34)*4.8*10^14)

   = 3.18*10^-19 joule

2)

wavelength = h/p

velocity v = 50*10^3/(60) = 833.33 m/s

             = (6.625*10^(-34)/(85*833.33))

      = 9.353*10^-39 m