Question

How are the wavelength and frequency of a sound wave related to its speed?

Answer 1

Hint: The smaller the wavelength, the higher the frequency will be. Therefore, frequency and wavelength are inversely proportional to each other. Frequency is the primary characteristic of light. All light waves move at the same speed in a vacuum, the number of wave crests passing at a given spot in one second is determined by the wavelength.

Complete answer:
The wavelength of a periodic wave is its spatial period, or the distance over which the wave's form repeats. It's the distance between two adjacent corresponding points of the same phase on the wave, such as two adjacent crests, troughs, or zero-crossings, and it's a feature of both traveling and standing waves, as well as other spatial wave patterns.
The number of times a recurrent occurrence occurs per unit of time is referred to as frequency.
The magnitude of the rate of change of an item's position with time or the magnitude of change of its position per unit of time is the speed of an object in everyday use and kinematics; it is, therefore, a scalar number.
For all waves, the connection between the speed of sound, its frequency, and wavelength is the same.
\[{\mathbf{Speed}}{\text{ }}\left( {\mathbf{v}} \right){\text{ }} = {\text{ }}{\mathbf{Wavelength}}{\text{ }}\left( {{\text{ }}{\mathbf{\lambda }}} \right){\text{ }}{\mathbf{x}}{\text{ }}{\mathbf{Frequency}}{\text{ }}({\text{ }}{\mathbf{\nu }})\]
\[{\mathbf{v}}{\text{ }} = {\text{ }}{\mathbf{\lambda }}{\text{ }}{\mathbf{\nu }}\]
The distance between consecutive identical portions of a wave is known as its wavelength. A sound wave's wavelength is the distance between neighboring identical sections of the wave. The distance between adjacent compressions in a sound wave is one wavelength, just as the distance between adjacent crests in a transverse wave. The number of waves that travel through a location per unit of time is the frequency of a sound.

Note:
Pitch is the perception of frequency. Although the wavelength of a sound cannot be directly experienced, indirect evidence may be discovered in the relationship between the size and pitch of musical instruments. Small instruments, like the piccolo, produce high-pitch sounds, and big instruments, like the tuba, produce low-pitch noises. The size of a musical instrument is closely connected to the wavelengths of sound it generates, and high pitch indicates tiny wavelength. As a result, short-wavelength sounds are produced using a tiny device. Long-wavelength sounds are created by a big instrument, according to similar reasoning.