Question #55757

1. Electromagnetic radiation travels through vacuum at a speed of ________ m/s.
2. A local radio station often broadcast on the 6-meter band. The frequency of this
electromagnetic radiation is ________ MHz.
3. What is the frequency of light (s-1) that has a wavelength of 3.25 × 10-6
cm?
4. What is the frequency (s-1) of a photon that has an energy of 4.15 × 10-18 J?
5. What is the wavelength ( nm) of a photon that has energy of 4.15 × 10-18 J?

Expert's answer

1. Electromagnetic radiation travels through vacuum at a speed of 2.998x10^{8} m/s.

2. The 6-meter wavelengh corresponds to ν = c/λ = 2.998×10^{8}/6 = 5x10^{7} s^{-1} or 50 MHz

3. The light that has a wavelength of λ = 3.25×10^{-6} cm corresponds to

ν = c/λ =2.998×10^{8}/3.25×10^{-8} = 9.224×10^{15} s^{-1}

4. The frequency of a photon that has an energy of 4.15 × 10^{-18} J is

ν = E/h = 4.15×10^{-18}/(6.63 × 10^{-34}) = 6.26 × 10^{15} s^{-1}

5. The wavelength of a photon that has energy of 4.15 × 10^{-18} J is

λ = hc/E = (6.63×10^{-34} x 2.998×10^{8})/(4.15×10^{-18}) = 4.793 × 10^{-8} m or 47.93 nm

2. The 6-meter wavelengh corresponds to ν = c/λ = 2.998×10

3. The light that has a wavelength of λ = 3.25×10

ν = c/λ =2.998×10

4. The frequency of a photon that has an energy of 4.15 × 10

ν = E/h = 4.15×10

5. The wavelength of a photon that has energy of 4.15 × 10

λ = hc/E = (6.63×10

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