Consider the three waves z1, z2 and z3 as z1=Asin(kx−ω t), z2=Asin(kx+ω t)and z3=Asin(ky−ω t). Which of the following represents a standing wave
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a
z1+z2
b
z2+z3
c
z3+z1
d
z1+z2+z3
answer is A.
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Detailed Solution
Waves Z1=Asin(kx−ωt) is travelling towards positive x-direction.Wave Z2=Asin(kx+ωt), is travelling towards negative x-direction. Wave Z3=Asin(ky−ωt) is travelling towards positive y direction.Since waves Z1 and Z2 are travelling along the same line so they will produce stationary wave.