Which one among the following is true for the speed of sound in a given medium ?

In a given medium, the speed of sound is primarily determined by the physical properties of that medium, such as its elasticity (bulk modulus) and density, as well as environmental factors like temperature and humidity.

• The relationship between speed (v), frequency (f), and wavelength (λ) is given by the formula: v = f × λ.
• In a non-dispersive medium (like air for standard audible sound waves), the speed of sound is independent of its frequency.
• When the frequency of a sound wave changes, its wavelength adjusts inversely and proportionally (higher frequency means shorter wavelength) so that the product, which is the speed, remains constant.

Therefore, Option A is correct because, for a specific medium under uniform conditions, sound waves of all frequencies travel at the same speed. This is why we hear all instruments of an orchestra simultaneously regardless of their pitch.