Question

The diagram below shows the different modes of vibration P, Q and R of the same string of a given length
(a) Which vibration will produce a louder sound and why?
(b) Which vibration will produce the sound of maximum shrillness (or pitch) and why?
(c) What is the ratio of the wavelength of vibrations P and R?

Answer 1

R because its amplitude is maximum
(b)P because its frequency is maximum
(c)$\lambda P:\lambda R=1:3$