Question
If the wavelength of a wave in a particular medium is tripled, what will happen to the frequency of the wave?(1 point)
Responses
It will become triple its original value.
It will become triple its original value.
It will become one third of its original value.
It will become one third of its original value.
It will remain constant.
It will remain constant.
It will depend on the speed of the wave.
Responses
It will become triple its original value.
It will become triple its original value.
It will become one third of its original value.
It will become one third of its original value.
It will remain constant.
It will remain constant.
It will depend on the speed of the wave.
Answers
GPT-4o mini
The correct response is:
**It will become one third of its original value.**
This is based on the relationship between wavelength, frequency, and wave speed, which can be expressed by the equation:
\[ v = f \cdot \lambda \]
where \( v \) is the wave speed, \( f \) is the frequency, and \( \lambda \) is the wavelength. If the wavelength \(\lambda\) is tripled, the frequency \(f\) must decrease to maintain the constant wave speed (assuming the speed of the wave in the medium remains unchanged). Hence, if the wavelength increases by a factor of 3, the frequency will decrease to one third of its original value.
**It will become one third of its original value.**
This is based on the relationship between wavelength, frequency, and wave speed, which can be expressed by the equation:
\[ v = f \cdot \lambda \]
where \( v \) is the wave speed, \( f \) is the frequency, and \( \lambda \) is the wavelength. If the wavelength \(\lambda\) is tripled, the frequency \(f\) must decrease to maintain the constant wave speed (assuming the speed of the wave in the medium remains unchanged). Hence, if the wavelength increases by a factor of 3, the frequency will decrease to one third of its original value.