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Ratio waves originating from sources `S_(1)` and `S_(2)` having zero phase difference and common wavelength `lambda` will show completely destructive interference at a point `P` is `S_(1)P-S_(2)P` isA. `5lambda`B. `3lambda//4`C. `2lambda`D. `11lambda//2` |
Answer» Answer: For destructive interference: Path difference =`S_(1)P-S_(2)P=(2n-1)lambda//2` `n=1,S_(1)P-S_(2)P=(2xx1-1)lambda//2=lambda//2` `n=2,S_(1)P-S_(2)P=(2xx2-1)lambda//2=3lambda//2` `n=3,S_(1)P-S_(2)P=(2xx3-1)lambda//2=5lambda//2` `n=4,S_(1)P-S_(2)P=(2xx4-1)lambda//2=7lambda//2` `n=5,S_(1)P-S_(2)P=(2xx5-1)lambda//2=9lambda//2` `n=6,S_(1)P-S_(2)P=(2xx6-1)lambda//2=11lambda//2` So,destructive pattern is possible only for path difference=`11lambda//2`. |
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