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.

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 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.

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.

A sonometer wire having a length of 150 m between the bridges vibrates in its second harmonic in resonance with t tuning fork of frequency 256 Hz. What is the speed of the transverse wave on the wire?