Sound waves travel at 350 m/s through a warm air and at 3500 m/s thro...
Here,
When a sound wave travels from one medium to another medium its frequency remains the same,∴ Frequency,υ = v/λ
Since υ remains the same in both the medium
Sound waves travel at 350 m/s through a warm air and at 3500 m/s thro...
Explanation:
When a sound wave travels from one medium to another, its speed and wavelength can change. The frequency remains constant. In this case, the sound wave is traveling from warm air to brass.
Given:
Speed of sound in warm air (v1) = 350 m/s
Speed of sound in brass (v2) = 3500 m/s
Frequency of sound wave (f) = 700 Hz
Formula:
The speed of a wave (v) is given by the equation v = λf, where v is the speed, λ is the wavelength, and f is the frequency.
Step 1:
Let's calculate the wavelength of the sound wave in warm air.
v1 = λ1f
350 = λ1 * 700
λ1 = 350/700
λ1 = 0.5 m
Therefore, the wavelength of the sound wave in warm air is 0.5 m.
Step 2:
Let's calculate the wavelength of the sound wave in brass.
v2 = λ2f
3500 = λ2 * 700
λ2 = 3500/700
λ2 = 5 m
Therefore, the wavelength of the sound wave in brass is 5 m.
Step 3:
Now, let's compare the wavelengths of the sound wave in warm air and brass.
The ratio of the wavelengths is given by the equation:
λ2/λ1 = (v2/v1)
Substituting the values,
λ2/λ1 = 3500/350 = 10
Therefore, the wavelength of the sound wave increases by a factor of 10 when it enters brass from warm air.
Conclusion:
The correct answer is option C) Increase by a factor of 10.