The speed of a wave does NOT depend on its frequency. If it did you would not be able to enjoy an open air concert since the bass sounds would reach you at a different time from the trebles so that the music would be all out of synch.
The medium in which it travels through
The wavelength is equal to the local velocity of sound divided by the frequency, As with light, there can be refraction when sound passes from one medium to another with a different sound velocity.
The conditions necessary for a body to produce sound are first that their must be a medium for the sound to travel through. Then their must be a disturbance in the medium that pulses through the medium .
yes, the pitch of sound does, in fact, depend on the frequency of the sound wave.
The speed of sound through a medium depends on the density of the medium and the density of air is affected by temperature.
Since sound waves need some medium to propagate or multiply through it follows that the nature or density of the medium would directly or indirectly affect the nature of the wave.
The definition of sound is : "Vibrations that travel through the air or another medium and can be heard when they reach a person's or animal's ear." Sound can be measured by amplitude (loudness) and pitch (The frequency of the vibrations). Therefore sound does not affect frequency but frequency affects the pitch of the sound.
Speed of sound increases with the increase in temperature of the medium .In fact the speed of sound is directly proportional to the square root of absolute temp. of the medium.
Frequency
This question can't be answered as asked. A string vibrating at its fundamental frequency has nothing to do with the speed of the produced sound through air, or any other medium. Different mediums transmit sound at different speeds. The formula for wavelength is L = S/F, were L is the wavelength, S is the speed through the medium and F is the frequency. Therefore, the wavelength depends on the speed of sound through the medium and directly proportional to the speed and inversely proportional to the frequency.
Sound is basically the vibration of atoms or molecules of a solid, liquid, or gas that propgate throughout the medium. Sound MUST have a medium to travel through; if there were no medium there to vibrate in, it would have no frequency and therefore would not be able to be heard. Since a vacuum is a space devoid of all matter, there would be no medium for the sound waves to propgate in, so therefore, no sound.
Frequency of the sound wave ?Amplitude of the sound wave ?The temperature of the medium ?The density of the medium ?