Two sound waves (expressed in CGS units) given by y1=0.3sin2πλ(vt−x) and y2=0.4sin2πλ(vt−x+θ) interfere. The resultant amplitude at a place where phase difference is π/2 will be

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0.7 cm

0.1 cm

0.5 cm

1107 cm

answer is C.

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Detailed Solution

Resultant amplitude = a12+a22+2a1a2cosφ=0.32+0.42+2×0.3×0.4×cosπ2=0.5cm

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