Q.

Equation of a stationary and a travelling waves are as follows y1=Asinkxcosωt  and  y2=Asin(ωtkx). The phase difference between two points x1=π3kandx2=3π2k  is  ϕ1 for the standing wave and  ϕ2 for the travelling wave. If the ratio ϕ1ϕ2=3a7b  then  ab=

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answer is 2.

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Detailed Solution

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For the stationary wave, y1=asinkxcosωt

x1=π3k=λ6<λ2, and x2=3π2k=3λ4>λ2      

ϕ1=π

For the travelling wave, 

ϕ2=k×Δx=7π6

ϕ1ϕ2=67

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