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Statement - 1: Two longitudinal waves given by equations: y1(x,t) = 2a sin(ωt − kx) and y2(x,t) = a sin (2ωt − 2kx) will have equal intensity. Statement - 2: Intensity of waves of given frequency in same medium is proportional to square of amplitude only.

1. Statement-1 is true, statement-2 is false.
2. Statement-1 is true, statement-2 is true, statement-2 is the correct explanation of statement-1.
3. Statement-1 is true, statement-2 is true, statement-2 is not the correct explanation of statement-1.
4. Statement-1 is false, statement-2 is true.

Correct answer: Statement-1 is true, statement-2 is false.

Solution

Statement-1 is true because the two waves have different amplitudes and frequencies, which affects their intensity. Statement-2 is false because intensity is not solely proportional to the square of amplitude when considering different frequencies; the frequency also plays a significant role in determining intensity.

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