Incident wave is reflected by an obstacle at which reduces intensity of reflected…

PHYSICS · Single correct · CBSE · Physics · Waves · Waves

Problem

Incident wave y=Asin⁡(ax+bt+π2)y = A \sin \left( ax + bt + \frac{\pi}{2} \right) is reflected by an obstacle at x=0x = 0 which reduces intensity of reflected wave by 36%. Due to superposition, the resulting wave consists of a standing wave and a travelling wave given by y=−1.6sin⁡axsin⁡bt+cAcos⁡(bt+ax)y = -1.6 \sin ax \sin bt + cA \cos (bt + ax) where A,a,bA, a, b and cc are positive constants. Value of cc is (1) 0.20.2 (2) 0.40.4 (3) 0.60.6 (4) 0.30.3

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