Question
If a wave is traveling at a constant speed, and the frequency decreases, what would happen to the wavelength?
It would increase.
It would decrease.
It would remain constant.
It would drop to zero.
It would increase.
It would decrease.
It would remain constant.
It would drop to zero.
Answers
GPT-4o mini
If a wave is traveling at a constant speed and the frequency decreases, the wavelength would increase. This relationship is described by the wave equation:
\[ v = f \lambda \]
where \( v \) is the speed of the wave, \( f \) is the frequency, and \( \lambda \) is the wavelength. If the speed \( v \) remains constant and the frequency \( f \) decreases, the wavelength \( \lambda \) must increase to maintain the equation's balance.
So, the correct answer is: **It would increase.**
\[ v = f \lambda \]
where \( v \) is the speed of the wave, \( f \) is the frequency, and \( \lambda \) is the wavelength. If the speed \( v \) remains constant and the frequency \( f \) decreases, the wavelength \( \lambda \) must increase to maintain the equation's balance.
So, the correct answer is: **It would increase.**