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ICSE Class 10 Physics 2016 Paper

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The ratio of amplitude of two waves is 3:43: 4. What is the ratio of their :
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Question : 14 of 73
Marks: +1, -0
loudness?
Solution:  
Loudness of sound is directly proportional to the square of amplitude i.e.,
   Loudness   a2\;\text{ Loudness }\;\propto a^2
   Ratio of Loudness     =  a12a22=  (3)2(4)2\;\text{ Ratio of Loudness }\;\;=\;\frac{a_1^2}{a_2^2}=\;\frac{(3)^2}{(4)^2}
  =  916=9:16\;=\;\frac{9}{16}=9:16
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