When a tuning fork vibrates, it generates sound waves that travel through the air. The behavior of these sound waves can be influenced by various factors, including temperature. In this case, you're asking about the effects of an increase in air temperature on sound waves, specifically which parameter among displacement amplitude, frequency, wavelength, and time period will change. The correct answer is (C) wavelength. Let's break this down further.
Understanding Sound Waves and Temperature Effects
Sound waves are mechanical waves that require a medium, such as air, to travel. The speed of sound in air is affected by temperature. As the temperature increases, the speed of sound also increases. This relationship is crucial to understanding how sound waves behave under different conditions.
Key Parameters of Sound Waves
To clarify the parameters mentioned in your question:
- Displacement Amplitude: This refers to the maximum displacement of particles in the medium from their rest position. It is related to the loudness of the sound but does not change with temperature.
- Frequency: This is the number of vibrations or cycles per second, measured in Hertz (Hz). The frequency of a tuning fork is determined by its physical properties and remains constant regardless of temperature.
- Wavelength: This is the distance between successive crests (or troughs) of a wave. It is directly related to the speed of sound and frequency.
- Time Period: This is the duration of one complete cycle of the wave, which is the inverse of frequency. Like frequency, it remains unchanged with temperature.
How Temperature Affects Wavelength
When the temperature of the air increases, the speed of sound increases as well. The relationship between speed (v), frequency (f), and wavelength (λ) is given by the equation:
v = f × λ
Since the frequency (f) of the tuning fork does not change, an increase in speed (v) must result in an increase in wavelength (λ) to maintain the equality of the equation. Therefore, as the temperature rises, the wavelength of the sound waves produced by the tuning fork will also increase.
Example to Illustrate the Concept
Imagine you're at a concert where the temperature is rising. As the air heats up, the sound from the instruments travels faster. If you were to measure the wavelength of the sound waves, you would find that they are longer than they would be at a lower temperature, assuming the frequency remains constant. This is a direct consequence of the increased speed of sound in warmer air.
Final Thoughts
In summary, when the temperature of the air increases, the primary parameter that changes is the wavelength of the sound waves produced by the tuning fork. The displacement amplitude, frequency, and time period remain constant. Understanding these relationships helps us grasp how environmental factors can influence sound propagation.
