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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 distance travelled by the wave in 2.0 ms and the nature of the wave?

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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.

This problem has been solved

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