Question

practice 1: select all that apply.

1. which of the following statements are true?

a. long wave radiation has high energy
b. short wave radiation has high energy
c. the energy of a photon is related to its wavelength and frequency
d. the electromagnetic spectrum includes visible radiation
e. photons are particles, but not waves

Explanation:

• According to the formula \(E = h

u=\frac{hc}{\lambda}\) (\(h\) is Planck's constant, \(c\) is the speed of light, \(
u\) is frequency, \(\lambda\) is wavelength), energy \(E\) is inversely proportional to wavelength \(\lambda\) and directly proportional to frequency \(
u\). So short - wave radiation (\(\lambda\) is small) has high energy, which makes option B correct and option A wrong.

• The formula \(E = h

u=\frac{hc}{\lambda}\) shows that the energy of a photon is related to its wavelength and frequency, so option C is correct.

• The electromagnetic spectrum includes radio waves, microwaves, infrared, visible light, ultraviolet, X - rays, and gamma rays. So the electromagnetic spectrum includes visible radiation, and option D is correct.
• Photons have both particle - like and wave - like properties (wave - particle duality), so option E is wrong.

Answer:

B. Short wave radiation has high energy, C. The energy of a photon is related to its wavelength and frequency, D. The electromagnetic spectrum includes visible radiation.