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Mechanical Properties Of Fluids

Question
CBSEENPH11018941

What is the condition for the two waves to interference constructively and destructively:

(a) in terms of path difference.

(b) in terms of the phase difference.

Solution

The condition for the two waves for constructive interference and destructive interference are:
(a)
 straight x equals nλ space space left square bracket constructive space interference right square bracket

space space equals fraction numerator 2 straight n minus 1 over denominator 2 end fraction straight lambda space space left square bracket destructive space interference right square bracket 
(b) straight ϕ equals 2 nπ          (constructive interference) 
       space equals left parenthesis 2 straight n minus 1 right parenthesis straight pi   (destructive interference)