What is the speed of sound in a medium where a 100-kHz frequency produces a 5.96-cm wavelength?
The speed of sound in this medium is 596 m/s.
To determine the speed of sound in the given medium, we need to use the formula:
Speed of sound = Frequency × Wavelength
Given:
Frequency = 100 kHz
Wavelength = 5.96 cm
First, we need to convert the units to a more appropriate form. The speed of sound is commonly expressed in meters per second (m/s), so we need to convert kHz to Hz and cm to meters.
Frequency:
1 kHz = 1000 Hz
So, 100 kHz = 100,000 Hz
Wavelength:
1 cm = 0.01 meters
So, 5.96 cm = 5.96 × 0.01 = 0.0596 meters
Now we can substitute the values into the formula:
Speed of sound = Frequency × Wavelength
= (100,000 Hz) × (0.0596 meters)
Calculating this:
Speed of sound = 5,960 meters per second
Therefore, the speed of sound in the given medium where a 100 kHz frequency produces a 5.96 cm wavelength is approximately 5,960 m/s.
To find the speed of sound in a medium, you can use the formula:
Speed = Frequency × Wavelength
Given:
Frequency = 100 kHz = 100,000 Hz
Wavelength = 5.96 cm = 0.0596 m
Let's plug in the values into the formula to find the speed of sound:
Speed = 100,000 Hz × 0.0596 m = 5,960 m/s
Therefore, the speed of sound in the given medium is 5,960 m/s.