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Physics

The ratio of amplitude of two waves is 3 : 4. What is the ratio of their :

(i) loudness?

(ii) frequencies?

Sound

ICSE 2016

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Answer

Given, a1 : a2 = 3 : 4

(i) Since, loudness ∝ (amplitude)2

Therefore,

L1L2=(a1a2)2=(34)2=916\dfrac{L1}{L2} = \Big(\dfrac{a1}{a2}\Big)^2 = \Big(\dfrac{3}{4}\Big)^2 = \dfrac{9}{16}

(ii) The frequency of sound does not depend on it's amplitude, so the ratio of frequency f1 : f2 = 1 : 1

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