Answer to Question #55757 in General Chemistry for Aleshia

Question

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?

Answer 1

1. Electromagnetic radiation travels through vacuum at a speed of 2.998x10⁸ m/s.
2. The 6-meter wavelengh corresponds to ν = c/λ = 2.998×10⁸/6 = 5x10⁷ s^-1 or 50 MHz
3. The light that has a wavelength of λ = 3.25×10^-6 cm corresponds to
ν = c/λ =2.998×10⁸/3.25×10^-8 = 9.224×10¹⁵ 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 × 10¹⁵ 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 2.998×10⁸)/(4.15×10^-18) = 4.793 × 10^-8 m or 47.93 nm