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

Question

Statement - 1: Two longitudinal waves given by equations:

y_{1}

(x, t) = 2a sin (ꞷt – kx) and

y_{2}

(x, t) = a sin (2ꞷt – 2kx) will have equal intensity.
Statement - 2: Intensity of waves of given frequency in same medium is proportional to square of amplitude only.

Accepted Answer

Correct answer: A. (a) Since, I ∝A^2 ^2 I_1 ∝ (2a )^2 ^2I_2 ∝a^2 (2 )^2I_1=I_2 Intensity depends on frequency also.

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

Solution

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