Question

how does the velocity of sound depend on its frequency

Answer 1

Therefore, the relationship between f and is inverse: The higher the frequency, the shorter the wavelength of a sound wave. The speed of sound can change when sound travels from one medium to another. ... Since v = f λ v = f λ , the higher the speed of asound, the greater its wavelength for a given frequency.
by yuvii

Answer 2

we know that,
v = lembda * frequency,
velocity depends on the frequency,
and, for a fixed wavelength , velocity will more if the frequency will be more,
its because,
velocity = frequency * wavelength,
so, if frequency will increase, velocity will increase.