A wire of length 200 m is stretched to a tension of 160 N. If the fundamental frequency of vibration is 100 Hz, find its linear mass density.

Two waves, each having a frequency of 100 Hz and a wavelength of 20 cm, are travelling in the same direction on a string. What is the phase difference between the waves (A) if the second wave was produced 0015 s later than the first one at the same place, (B) if the two waves were produced at the same instant but the first one was produced a distance 40 cm behind the second one? (C) If each of the waves has an amplitude of 20 mm, what would be the amplitudes of the resultant waves in part (A) and (B)?

If the speed of a transverse wave on a stretched string of length 1 m is 60 m s⁻¹, what is the fundamental frequency of vibration?

A steel wire of mass 40 g and length 80 cm is fixed at the two ends. The tension in the wire is 50 N. Find the frequency and wavelength of the fourth harmonic of the fundamental.

A piano wire weighing 600 g and having a length of 900 cm emits a fundamental frequency corresponding to the “Middle C” (ν = 26163 Hz). Find the tension in the wire.