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Standard VIII
Physics
Decibels
Two sound wav...
Question
Two sound waves have amplitudes in the ratio 2:5. Ratio of the intensities of the sound waves is:
A
2:5
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B
5:2
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C
4:25
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D
25:4
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Solution
The correct option is
C
4:25
Given:
Ratio of amplitudes:
A
1
A
2
=
2
5
Let corresponding intensities be
I
1
&
I
2
.
Intensity of the sound wave is proportional to the square of its amplitude. Hence, ratio of intensities is:
I
1
I
2
=
A
2
1
A
2
2
I
1
I
2
=
(
2
5
)
2
=
4
25
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