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How do I calculate these problems wavelengths in nm?
1) an 83.0 kg athlete running a "4-minute mile" (i.e. 4.00 min/mile) 2) Earth (mass = 6.00 × 1027 g) moving through space at 2.90 × 104 m/s
- 4 min/mile is about 6.7 m/s
to convert to nm you times your answer by 1e9 (1x10^9)
(6.626e-34) / (83)(6.7) = 1.19e-27 nm
- Frist convert 6.00e27 g to kg
Second calculate and you'll get an answer in m
(6.626e-34) / (6.00e24)(2.90e4) = 3.81e-54 nm
To calculate wavelength in nanometers, use the formula: wavelength (nm) = (speed of light in a vacuum) / frequency. The speed of light in a vacuum is approximately 3.00 x 10^8 m/s. Remember to convert frequency to hertz if necessary (1 Hz = 1 s^-1).
- 4 min/mile is about 6.7 m/s
to convert to nm you times your answer by 1e9 (1x10^9)
(6.626e-34) / (83)(6.7) = 1.19e-27 nm
- Frist convert 6.00e27 g to kg
Second calculate and you'll get an answer in m
(6.626e-34) / (6.00e24)(2.90e4) = 3.81e-54 nm
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Any whose wavelength does not exceed 379 nm.
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The range of wavelengths for infrared radiation is beween 700 nm and 10e6 nm.
