The frequency of electromagnetic wave A is twice that of electromagnetic wave B. For these two waves, what is the ratio of the wavelengths λA / λB in a vacuum?Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer.aλA / λB = 2, because wave A has twice the speed that wave B has.bλA / λB = 2, because wave A has one-half the speed that wave B has.cλA / λB = ½ , because wave A has one-half the speed that wave B has.dλA / λB = ½ , because wave A has twice the speed that wave B has.eλA / λB = ½ , because both waves have the same speed.
Question
The frequency of electromagnetic wave A is twice that of electromagnetic wave B. For these two waves, what is the ratio of the wavelengths λA / λB in a vacuum?Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer.aλA / λB = 2, because wave A has twice the speed that wave B has.bλA / λB = 2, because wave A has one-half the speed that wave B has.cλA / λB = ½ , because wave A has one-half the speed that wave B has.dλA / λB = ½ , because wave A has twice the speed that wave B has.eλA / λB = ½ , because both waves have the same speed.
Solution
The answer is eλA / λB = ½ , because both waves have the same speed. This is because in a vacuum, all electromagnetic waves travel at the same speed, which is the speed of light. The frequency and wavelength of an electromagnetic wave are inversely proportional, so if wave A has twice the frequency of wave B, it must have half the wavelength.
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