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ICSE Class 10 Physics 2019 Paper

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Two waves of the same pitch have amplitudes in the ratio 1:31: 3. What will be the ratio of their:
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Question : 19 of 74
Marks: +1, -0
intensities and
Solution:  
Since, I∝a2I \propto a^2
∴    I1I2=(  a1a2)2\therefore \;\; \frac{I_1}{I_2}= \left(\;\frac{a_1}{a_2}\right)^2
⇒  I1I2=(  13)2=  19\Rightarrow \;\frac{I_1}{I_2}= \left(\;\frac{1}{3}\right)^2=\;\frac{1}{9}
⇒I1:I2=1:9\Rightarrow I_1: I_2=1: 9
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