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Question

Calculate the ratio of intensity of wavetrain A to wavetrain B.


A
4
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B
1
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C
3
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D
0.5
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Solution

The correct option is B 1
Intensity of a wave is, given by
I=2π2f2A2ρV
where, f frequency of wave, ρ density of medium
For a given medium, the velocity of wave is constant.
IA2f2..........(i)


From the wave train shown in figure,
Amplitude, AA=2 and time period, TA=2
Similarly for second wave train,
AB=1 and TB=1
From Eq. (i),
IAIB=A2Af2AA2Bf2B
IAIB=(AAAB)2×(TBTA)2
IAIB=4×(12)2=1

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