The correct option is a. The speed remains the same and the frequency is halved.
The speed of a wave in a vacuum is determined by the fundamental constant, the speed of light (c), which is approximately
meters per second. The speed of light is constant for all electromagnetic waves in a vacuum.
The relationship between the speed (c), frequency (f), and wavelength (λ) of a wave is given by the equation:
![\[ c = f \lambda \]](https://img.qammunity.org/2024/formulas/physics/high-school/swd486evdkm9jwqrv37ymt6ugrksj994ka.png)
Where:
-
is the speed of light,
-
is the frequency,
-
is the wavelength.
If the wavelength
doubles, according to the equation, the frequency
must decrease to keep the product
constant. Therefore, the correct option is a. The speed remains the same and the frequency is halved.