Sound waves travel at 350 m/s through a warm air and at 3500 m/s through brass. The wavelength of a 700 Hz acoustic wave as it enters brass from warm air

Two waves are represented by the equations
y₁ = $$a$$sin($$\omega $$t + kx + 0.57) m and
y₂ = acos($$\omega $$t + kx) m, where x is in meter and t $$in$$ sec. The phase difference between them is

A tuning fork of frequency 512 Hz makes 4 beats per second with the vibrating string of a piano. The beat frequency decreases to 2 beats per sec when the tension in the piano string is slightly increased. The frequency of the piano string before increasing the tension was

A transverse wave is represented by
y = Asin($$\omega $$t $$-$$ kx). For what value of the wavelength is the wave velocity equal to the maximum particle velocity ?