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Hw4K-G1-EMR-Bohr

# Hw4K-G1-EMR-Bohr - HW Set 4 KEY Electromagnetic Radiation...

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HW Set- 4 KEY Electromagnetic Radiation Early Theories of the Electron CHM 2045 Hw4K-G1-EMR-Bohr.wpd 1. Both microwave and ultraviolet electromagnetic radiation travel at the same speed (the speed of light, 3.00 x 10 8 m/s) and both have wave and particle character. Photons of ultraviolet radiation are higher in energy content than photons of microwave and the frequencies of ultraviolet are greater than microwave . It follows that wavelengths of ultraviolet are shorter than the wavelengths of infrared. 2. a) Increasing wavelength: x-ray < ultraviolet < visible < infrared < microwave < radio waves b) As the wavelength increases, the frequency decreases. Therefore decreasing frequency: x-ray > ultraviolet > visible > infrared > microwave > radio waves 3. a) 3.6 cm x 10 -2 m x 1 nm = 3.6 x 10 +7 nm cm 10 -9 m b) 1.56 : m x 10 -6 m x 1 cm = 1.56 x 10 -4 cm : m 10 -2 m c) 0.62 : m x 10 -6 m = 6.2 x 10 -7 m d) 470. nm x 10 -9 m = 4.7 x 10 -7 m : m nm 4. 8< = c, or 8 = c where c = 3.00 x 10 8 m/s < a) 8 = 3.00 x 10 8 m/s = 3.00 x 10 -6 m b) 8 = 3.00 x 10 8 m/s = 3.5 x 10 -5 m 1.00 x 10 14 s -1 8.6 x 10 12 s -1 c) 8 = 3.00 x 10 8 m/s = 1.5 x 10 -1 m 2.0 x 10 9 s -1 5. 8< = c, or < = c and E = h < 8 a) < = 3.00 x 10 8 m/s = 1.7 x 10 13 s -1 1.8 x 10 -5 m E = h < = 6.63 x 10 -34 J C s x 1.7 x 10 13 s -1 = 1.1 x 10 -20 J b) < = 3.00 x 10 8 m/s = 2.38 x 10 13 s -1 1.26 x 10 -5 m E = h < = 6.63 x 10 -34 J C s x 2.38 x 10 13 s -1 = 1.58 x 10 -20 J c) < = 3.00 x 10 8 m/s = 9.84 x 10 14 s -1 3.05 x 10 -7 m E = h < = 6.63 x 10 -34 J C s x 9.84 x 10 14 s -1 = 6.52 x 10 -19 J

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2 6. a) E = h < or < = E = 4.09 x 10 -19 J = 6.17 x 10 14 s -1 h 6.63 x 10 -34 J C s 8 = c = 3.00 x 10 8 m/s = 4.86 x 10 -7 m < 6.17 x 10 14 s
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