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 B1 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. ⇒I∝A2f2..........(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