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Questions  

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

a
0.7 cm
b
0.1 cm
c
0.5 cm
d
1107 cm

detailed solution

Correct option is C

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

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Two waves are propagating to the point P along a straight line produced by two sources A and B of simple harmonic and of equal frequency. The amplitude of every wave at P is ‘a’ and the phase of A is ahead by π3 than that of B and the distance AP is greater than BP by 50 cm. Then the resultant amplitude at the point P will be, if the wavelength is 1 meter 


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