If wave 1 has a wavelength that is half that of wave 2, which of the following is correct?
A) The frequency and the energy of wave 1 are twice that of wave 2.
B) The frequency and the energy of wave 1 are half that of wave 2.
C) Wave 1 has half the frequency and twice the energy of wave 2.
D) Wave 1 has twice the frequency and half the energy of wave 2.
E) The question stem lacks enough information.

Question

Quizplus · Accepted Answer

The frequency of a wave is inversely proportional to its wavelength, so if wave 1 has half the wavelength of wave 2, it has twice the frequency. Since energy of a wave is directly proportional to its frequency, wave 1 also has twice the energy of wave 2.

If Wave 1 Has a Wavelength That Is Half That