Check for Understanding 2 Extension- Electromagnetic Spectrum Calculations
| Formulas and Constants | ||||
|---|---|---|---|---|
| λ = wavelength (m) | ν = frequency (Hz) | E = energy (J) | E = hν | c = λν |
| 1 x10-9 m = 1 nm Speed of light: c= 3.00 x 108 m/s Planck’s constant: h = 6.626 x 10-34 J∙s |
- Calculate the energy of electromagnetic radiation that has a frequency of 5.56 x 106 Hz.
5.56 * 10
E = hv
E = ( 6.626 x 10-34 J∙s ) ( 5.56 * 10 ^ 6 / s) E = ( 6.626 * 10-34 ) (6.626 * 10^-34) * (5.56 * 10^6) E = 3.684056e-27 J
- Calculate the frequency of electromagnetic radiation with a wavelength equal to 6.67 x 10-7 m.
E = ( 6.626 x 10-34 J∙s ) ( 6.67 * 10 ^ 7 / s) (6.626 * 10^-34) (6.67 * 10^7) 4.419542e-26 E = 4.419542e-26 J
3.00 * 10 ^ 8 = (6.67 * 10 ^ -7) ( x ) 3.00 * 10 ^ 8 / ( 6.67 * 10 ^ -7 ) 4.49775112444e+14
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EM radiation at the blue end of the visible spectrum has a wavelength of 400 nm.
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Calculate the frequency of the radiation.
3.00 * 10 ^ 8 = 400 ( x ) (3.00 * 10 ^ 8 ) / 400 750000 7.5 * 10
- Calculate the energy of this radiation.
(6.626 * 10^-34) (4 * 10^2) E = 2.6504e-31J
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Violet light has a wavelength of 4.10 x 10-3 nm. What is the frequency?
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Green light has a frequency of 6.01 x 1014 Hz. What is the wavelength in meters?
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Calculate the wavelength of radiation with a frequency of 8.0 x 1014 Hz.
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What is the wavelength of light with a frequency of 7.66 x 1014 Hz.