A sound wave has a frequency of 1.0 kHz and a wavelength of 0.33 m. What is the distancetravelled by the wave in 2.0 ms and the nature of the wave?
Question
A sound wave has a frequency of 1.0 kHz and a wavelength of 0.33 m. What is the distancetravelled by the wave in 2.0 ms and the nature of the wave?
Solution
To solve this problem, we need to use the formula for the speed of a wave, which is given by the product of its frequency and wavelength.
Step 1: Convert frequency to Hz 1 kHz = 1000 Hz
Step 2: Calculate the speed of the wave Speed = Frequency x Wavelength Speed = 1000 Hz x 0.33 m Speed = 330 m/s
Step 3: Calculate the distance travelled by the wave in 2.0 ms First, convert 2.0 ms to seconds. 2.0 ms = 0.002 s
Distance = Speed x Time Distance = 330 m/s x 0.002 s Distance = 0.66 m
So, the wave travels 0.66 meters in 2.0 ms.
As for the nature of the wave, since it's a sound wave, it is a longitudinal wave. This is because sound waves are disturbances that travel through a medium, such as air, and the particles in the medium vibrate in the same direction as the direction of the wave propagation.
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