Calculate the speed of sound in a steel rod whose Young’s modulus Y = 2\(\times\)10¹¹ N m^-2 and \(\rho\) = 7800 kg m^-3.

Two vibrating tuning forks produce waves whose equation is given by y₁ = 5 sin(240\(\pi\)t) and y₂ = 4 sin(244πt). Compute the number of beats per second.

The sound level from a musical instrument playing is 50 dB. If three identical musical instruments are played together then compute the total intensity. The intensity of the sound from each instrument is 10^-12 W m^-2.

If the third harmonics of a closed organ pipe is equal to the fundamental frequency of an open organ pipe, compute the length of the open organ pipe if the length of the closed organ pipe is 30 cm.

An observer observes two moving trains, one reaching the station and other leaving the station with equal speeds of 8 m s⁻¹. If each train sounds its whistles with frequency 240 Hz, then calculate the number of beats heard by the observer.