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BUSINESS EXAM 2 THURSDAY NOVEMBER 4, 2010 MATERIAL COVERED: CHAPTERS 4, 5 & 6 TIME: 7:00PM-8:00PM WHERE: (TO BE ANNOUNCED LATER) WHAT TO BRING: CALCULATOR, ONE PAGE OWN NOTES CONFLICT IN SCHEDULE? CONTACT ME TO MAKE SEPARATE TIME. wavelength. Visible light. Amplitude.
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BUSINESS • EXAM 2 THURSDAY NOVEMBER 4, 2010 • MATERIAL COVERED: CHAPTERS 4, 5 & 6 • TIME: 7:00PM-8:00PM • WHERE: (TO BE ANNOUNCED LATER) • WHAT TO BRING: CALCULATOR, ONE PAGE OWN NOTES • CONFLICT IN SCHEDULE? CONTACT ME TO MAKE SEPARATE TIME
wavelength Visible light Amplitude wavelength Node Ultraviolet radiation Chapter 6: Electromagnetic Radiation
Short wavelength --> high frequency high energy Long wavelength --> small frequency low energy
Which has the longest wavelength? • Infrared • Ultraviolet • X-rays • Radio waves
Rank the following in order of increasing frequency: microwaves radiowaves X-rays blue light red light UV light IR light
Waves have a frequency • Use the Greek letter “nu”, , for frequency, and units are “cycles per sec” • All radiation: • = c • c = velocity of light = 3.00 x 108 m/sec • Long wavelength small frequency • Short wavelength high frequency
In a vacuum, the speed of light, c, is 3.00 x 108 m/s. Therefore, The Wave Nature of Light • The product of the frequency, n (waves/sec) and the wavelength, l (m/wave) would give the speed of the wave in m/s. • So, given the frequency of light, its wavelength can be calculated, or vice versa.
The Wave Nature of Light • What is the wavelength of yellow light with a frequency of 5.09 x 1014 s-1? (Note: s-1, commonly referred to asHertz (Hz) is defined as “cycles or waves per second”.)
The Wave Nature of Light • What is the frequency of violet light with a wavelength of 408 nm?
What is the wavelength of WONY? What is the wavelength of cell phone radiation? Frequency = 850 MHz What is the wavelength of a microwave oven? Frequency = 2.45 GHz
Metal cathode (-) vacuum window Anode (+) The Photoelectric Effect “Light” can cause ejection of e- from a metal surface. An anode (+) attracts e- Current is measured
The Photoelectric Effect Einstein proposed that “light”: • is quantized. • behaves like a stream of massless particles. • G. N. Lewis later named them photons. • Imagine photons (balls) hitting e- embedded in glue. • If the E of the ball: • is low, it can’t eject an e-. • exceeds the strength of the glue, an e- is released Higher intensity = more photons (balls). If E > threshold, more balls eject more e-.
Quantization of Energy Light acts as if it consists of particles called PHOTONS,with discrete energy. Energy of radiation is proportional to frequency E = h • h = Planck’s constant = 6.6262 x 10-34 J•s
E = h • Relationships:
Short wavelength light has: • High frequency and low energy • High frequency and high energy • Low frequency and low energy • Low frequency and high energy
Rank the following in order of increasing photon energy: microwaves radiowaves X-rays blue light red light UV light IR light
Energy of Radiation What is the frequency of UV light with a wavelength of 230 nm? What is the energy of 1 photon of UV light with wavelength = 230 nm?
What is the energy of a photon of 525 nm light? • 3.79 x 10-19 J • 4.83 x 10-22 J • 3.67 x 1020 J • 8.43 x 1023 J
Radio Wave Energy • What is the energy of a photon corresponding to radio waves of frequency 1.255 x 10 6 s-1?
What is the energy of a mole of 230 nm photons? Can this light break C-C bonds with an energy of 346 kJ/mol?
Where does light come from? • Excited solids emit a continuous spectrum of light • Excited gas-phase atoms emit only specific wavelengths of light (“lines”)
The Bohr Model of Hydrogen Atom • Light absorbed or emitted is from electrons moving between energy levels • Only certain energies are observed • Therefore, only certain energy levels exist • This is the Quanitization of energy levels
Emission spectra of gaseous atoms • Excited atoms emit light of only certain wavelengths • The wavelengths of emitted light depend on the element.
Constant = 2.18 x 10-18 J For H, the energy levels correspond to: Energy level diagram:
Each line corresponds to a transition: Example: n=3 n = 2
Explanation of line spectra Balmer series
Bohr Model of the Hydrogen Atom • Heated solid objects emit continuous spectra. • Excited atomic gases emit line spectra. • Each element has a unique pattern.
E = −RH n = 1, 2, 3. . . 1 n2 Bohr Model of the Hydrogen Atom Niels Bohr • Orbits the nucleus. • Different orbits are possible with different quantizedE values: Bohr (1913). The hydrogen e-: Rydberg constant 2.179 x 10-18 J If the e- has n = 1 (lowest, most negative E), the atom is in its ground state. If ionized (e- removed), n = (E = 0).
infrared emission n ∞ 3 2 1 0 -¹⁄9RH -¼RH visible emission Energy -RH • 500 600 700 • wavelength (nm) ultraviolet emission ultraviolet absorption Bohr Model of the Hydrogen Atom absorption: ΔE > 0, n ↑ emission: ΔE < 0, n ↓ Bohr’s model exactly predicts the H-atom spectrum.
H-atom transitions: ΔE = −RH– 1 nf2 1 ni2 Bohr Model of the Hydrogen Atom Example Calculate the energy and wavelength (in nm) for an H-atom n = 4 → n = 2 transition.
Bohr Model of the Hydrogen Atom Calculate E and wavelength (nm) for an H-atom n = 4 → n = 2 transition.