Final answer:
By using the formula wavelength = speed × period, the wavelength of a wave with a speed of 9.0 m/s and a period of 0.33 seconds is calculated to be approximately 2.97 meters, which corresponds to option (c) 3.0 m.
Step-by-step explanation:
The question asks for the wavelength of a wave given its speed of 9.0 m/s and its period of 0.33 seconds. To calculate wavelength, we can use the formula wavelength = speed × period. By plugging in the given values, we get:
wavelength = 9.0 m/s × 0.33 s = 2.97 m
Therefore, the closest answer to 2.97 m is 3.0 m, which corresponds to option (c).
Please note that the standard equation c = fλ (speed of light = frequency × wavelength) is typically used for electromagnetic waves in vacuum or air, where c is the speed of light. However, for other types of waves, such as sound waves in different mediums, the product of frequency and wavelength gives the wave's speed, not necessarily the speed of light. In our case, since we are not given the frequency directly, we use the period to find the wavelength.