Statement –I : Two longitudinal waves given by equations y1(x,t)=2asin(ωt−kx) and y2(x,t)=asin(2ωt−2kx) will have equal intensity.Statement-II : Intensity of waves of given frequency in same medium is proportional to the square of amplitude only.

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Q.

Statement –I : Two longitudinal waves given by equations $y_{1} (x, t) = 2 a \sin (ω t - k x)$ and $y_{2} (x, t) = a \sin (2 ω t - 2 k x)$ will have equal intensity.
Statement-II : Intensity of waves of given frequency in same medium is proportional to the square of amplitude only.

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a

Statement I is true, Statement II is true; Statement II is the correct explanation of Statement I.

b

Statement I is true, Statement II is false.

c

Statement-I is true, Statement-II is true, but Statement II is not the correct explanation of Statement I.

d

Statement I is false, Statement II is true.

answer is D.

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Detailed Solution

As intensity $I = \frac{1}{2} ρ ω^{2} A^{2} V$ intensity depends on amplitude ongular frequency as well as velocity of wave

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