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ICSE Class 10 Physics Question 5 of 20

Solved 2016 Question Paper ICSE Class 10 Physics — Question 10

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10
Question

Question 2(e)

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

(i) loudness?

(ii) frequencies? [2]

Answer

Given, a1 : a2 = 3 : 4

(i) Since, loudness ∝ (amplitude)2

Therefore,

L1L2=(a1a2)2=(34)2=916\dfrac{L_1}{L_2} = \Big(\dfrac{a_1}{a_2}\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