The pair BCEG will interfere constructively, while the pair ADF will interfere destructively.
Constructive and destructive interference:
For interference, the waves must be coherent.
Two coherent waves interfere constructively when the path difference is equal to an integral multiple of the wavelength.
That is the path difference must be mλ
where m = 0,1,2,3.... is an integer and λ is the wavelength
So pair BCEG interfere constructively
Two coherent waves interfere destructively when the path difference is equal to a half-integral multiple of the wavelength.
That is the path difference must be (m+1/2)λ
where m = 0,1,2,3.... is an integer and λ is the wavelength
Therefore, the interference is in the pair ADF which is interfere destructively.
Learn more about interference: brainly.com/question/1194044
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[NOTE: THE COMPLETE QUESTION IS:
Now consider a wave which is paired with seven other waves into seven pairs. The two waves in each pairing are identical, except that one of them is shifted relative to the other in the pair by the distance shown: A. -(1/2) ?B. 2?C. -5?D. (3/2)?E. 0F. (17/2)?G. (6/2)?Identify which of the seven pairs will interfere constructively and which will interfere destructively. Each letter represents a pair of waves. Enter the letters of the pairs that correspond to constructive interference in alphabetical order and the letters of the pairs that correspond to pairs that interfere destructively in alphabetical order separated by a comma. For example if pairs A, B and D interfere constructively and pairs C and F interfere destructively enter ABD,CF.]
