Periodic Table & Bonding Worksheet #1 25 1. Determine the frequency of light with a wavelength of 4.50 X 10-7m. (2 pts) ν= ? c=λν -7 λ = 4.50x10 m (3x108 m/s) = (4.50x10-7 m) ν 8 c = 3x10 m/s ν = 6.67 x 1014 /s 2. What is the wavelength of an X-ray that has a frequency of 7.8 X 1017 Hz? (2 pts) ν = 7.8x1017 Hz c=λν λ=? (3x108 m/s) = λ (7.8x1017 1/s) c = 3x108 m/s λ = 3.8 x 10-10 m 3. What is the wavelength of a light wave with a frequency of 8.96 X 1014Hz? (2 pts) ν = 8.96x1014 Hz c=λν λ=? (3x108 m/s) = λ (8.96x1014 1/s) 8 c = 3x10 m/s λ = 3.35 x 10-7 m 4. What is the frequency of a microwave that has a wavelength of 116.3 m? (2 pts) ν= ? c=λν λ = 116.3 m (3x108 m/s) = (116.3 m) ν 8 c = 3x10 m/s ν = 2.580 x 106 /s 5. What is the wavelength of a radio wave that has a frequency of 9.40 X 108Hz? (2 pts) ν = 9.40x108 Hz c=λν λ=? (3x108 m/s) = λ (9.40x108 1/s) c = 3x108 m/s λ = 0.319 m 6. A gamma ray has a wavelength of 0.039 nm. What is the energy of the wave? (2 pts) λ= 0.039nm (1m/ 1x109nm) = 3.9 x 10-11m ΔE =? ΔE = h*c / λ h = 6.626x10-34 J *s ΔE = (6.626x10-34 J *s)(3x108 m/s) / 3.9x10-11m c = 3x108 m/s ΔE = 5.1 x 10-15 J 7. What is the wavelength of radiation whose frequency is 4.621014 1/s? What is the energy? (4 pts) c=λν 14 ν = 4.62x10 1/s (3x108 m/s) = λ (4.62x1014 1/s) λ=? λ = 6.49 x 10-7 m c = 3x108 m/s ΔE = hν h = 6.626x10-34 J *s ΔE = (6.626x10-34 J *s)(4.62x1014 1/s) ΔE = ? ΔE = 3.06 x 10-19 J 8. A neon light emits radiation of 616 nm wavelength. What is the frequency of this radiation? What is the energy? (4 pts) c=λν λ= 616 nm (1m/ 1x109nm) = 6.16 x 10-7m (3x108 m/s) = (6.16 x 10-7m)ν ν= ? ν = 4.87 x 1014 1/s 8 c = 3x10 m/s ΔE = h*c / λ -34 h = 6.626x10 J *s ΔE = (6.626x10-34 J *s)(3x108 m/s)/6.16x10-7m ΔE = ? ΔE = 3.23 x 10-19 J 9. Use the wavelength pattern to determine the elements present in the unknown mixture. (5 pts) Argon and Sodium 10. Here are examples of the types of barcodes that are produced by the FUSE spectrographs: (5 pts) Now it's YOUR turn! See if you can guess which elements have left their mark on this spectrum: Hydrogen, Deuterium? Carbon Nitrogen Oxygen