The wave with a 30 Hz frequency and 1.5 m wavelength has a speed of 45 m/s, making the correct answer C.
The speed of a wave is given by the formula:
![\[ \text{Speed} = \text{Frequency} * \text{Wavelength} \]](https://img.qammunity.org/2024/formulas/physics/high-school/we95c0hr5zmw0pmuu4t5t9g46grs3u5zsy.png)
where
- Speed is in meters per second (m/s),
- Frequency is in hertz (Hz), and
- Wavelength is in meters (m).
In this case, the frequency is 30 Hz, and the wavelength is 1.5 m. Plug these values into the formula:
![\[ \text{Speed} = 30 \, \text{Hz} * 1.5 \, \text{m} \]](https://img.qammunity.org/2024/formulas/physics/high-school/clygqip0n4yjrugqw8liqm93bpqd7p10nw.png)
![\[ \text{Speed} = 45 \, \text{m/s} \]](https://img.qammunity.org/2024/formulas/physics/high-school/odti7iq5ap0180jlgbu447hzwqurjczfhw.png)
Therefore, the correct answer is: C. 45 m/s