1. Spectroscopy

2. The spectral colors correspond to different wavelengths of electromagnetic radiation

3. Is Light a Wave or a Particle? Argument: Light is reflected according to the law of reflection, which is a property of waves. Therefore light is a wave.

4. Counterargument

5. p x = mv x = m v sin( 2 ), p y = mv y = m v cos( 2 )

6. F x = m dv x /dt, F y = m dv y /dt

7. F x = 0 => v x is unchanged Perfectly elastic collision => ½ m (v x 2 + v y 2 ) is unchanged

8. F x = 0 => v x is unchanged Perfectly elastic collision => ½ m (v x 2 + v y 2 ) is unchanged Therefore v y (after) = - v y (before)

10. We cannot deduce, simply from the law of reflection, whether light is a wave or a particle.

11. There is a long history of controversy in optics over whether light is a wave or a particle.

12. There is excellent evidence that light is emitted and absorbed from matter is discrete amounts, very much like particles. Each “particle” of light carries an energy E. If the light has frequency f, the “particle” has energy E = hf where h = 6.626 x 10 -34 J s = 4.136 x 10 -15 eV s h is called Planck’s constant and the “particle” of light is called a photon.

14. classical physics: A mechanical system has states of motion at a continuous range of energies.

15. Quantum Physics Atoms and molecules have states of excitation separated by discrete energies

18. ) E = 12.087 eV – 10.199 eV = 1.888 eV The emitted photon has an energy of 1.888 eV f = E/h = 1.888 eV/ (4.136 x 10 -15 eV s) = 4.565 x 10 14 Hz 8 = c / f = (3 x 10 8 m/s) / (4.565 x 10 14 s -1 ) = 6.57 x 10 -7 m = 657 nm

19. ) E = 12.087 eV – 10.199 eV = 1.888 eV The emitted photon has an energy of 1.888 eV f = E/h = 1.888 eV/ (4.136 x 10 -15 eV s) = 4.565 x 10 14 Hz 8 = c / f = (3 x 10 8 m/s) / (4.565 x 10 14 s -1 ) = 6.57 x 10 -7 m = 657 nm The atom emits red light in this transition

25. ) E 1 = 12.087 eV – 10.199 eV = 1.888 eV f 1 = E/h = 1.888 eV/ (4.136 x 10 -15 eV s) = 4.565 x 10 14 Hz 8 1 = c / f = (3 x 10 8 m/s) / (4.565 x 10 14 s -1 ) = 6.57 x 10 -7 m = 657 nm ) E 2 = 2.549 eV, ) E 3 = 2.855 eV 8 2 = c / f2 = hc / E 2 = (1240 eV nm)/ 2.549 eV = 486 nm 8 3 = c / f3 = hc / E 3 = (1240 eV nm)/ 2.855eV = 434 nm