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Q.

The following equations represent progressive transverse waves Z1=Acos(ωtkx)Z2=Acos(ωt+kx)Z3=Acos(ωt+ky)  and Z4=Acos(2ωt2ky). A stationary wave will be formed by superposing 

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a

Z1 and Z2

b

Z3 and Z4

c

Z1 and Z4

d

Z2 and Z3

answer is A.

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Detailed Solution

When two waves of equal frequency and travelling in  opposite direction superimpose, then the stationary wave is produced. Hence Z1 and Z2 produces stationary wave. 

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The following equations represent progressive transverse waves Z1=Acos(ω t−kx), Z2=Acos(ω t+kx), Z3=Acos(ω t+ky)  and Z4=Acos(2ω t−2ky). A stationary wave will be formed by superposing