A 660 Hz tuning fork sets up vibration in a string clamped at both ends. The wave speed for a transverse wave on this string is 220 m s⁻¹ and the string vibrates in three loops. (A) Find the length of the string. (B) If the maximum amplitude of a particle is 05 cm, write a suitable equation describing the motion.

A wire, fixed at both ends is seen to vibrate at a resonant frequency of 240 Hz and also at 320 Hz. (A) What could be the maximum value of the fundamental frequency? (B) If transverse waves can travel on this string at a speed of 40 m s⁻¹, what is its length?

A string, fixed at both ends, vibrates in a resonant mode with a separation of 20 cm between the consecutive nodes. For the next higher resonant frequency, this separation is reduced to 16 cm. Find the length of the string.

A particular guitar wire is 300 cm long and vibrates at a frequency of 196 Hz when no finger is placed on it. The next higher notes on the scale are 220 Hz, 247 Hz, 262 Hz and 294 Hz. How far from the end of the string must the finger be placed to play these notes?

A steel wire fixed at both ends has a fundamental frequency of 200 Hz. A person can hear sound of maximum frequency 14 kHz. What is the highest harmonic that can be played on this string which is audible to the person?