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

(a) R has the greatest amplitude. As a result, R will make a louder sound.

(b) P has the highest frequency. As a result, P will generate the most shrillness.

(c) The wavelength ratio of the vibrations P and R is 1:3