A) \[x=14.95m,\,\,n=2\]
B) \[x=5.6m,\,\,\,n=2\]
C) \[x=1.65m,\,\,\,\,n=3\]
D) \[x=0,\,\,\,n=3.6\]
Correct Answer: B
Solution :
[b] Path difference, \[\delta =BP-AP\] \[\sqrt{{{x}^{2}}+{{9}^{2}}}-x=n\lambda \Rightarrow {{x}^{2}}+{{9}^{2}}={{n}^{2}}{{\lambda }^{2}}+{{x}^{2}}+2n\lambda x\]\[\Rightarrow \,x=\frac{{{9}^{2}}-{{n}^{2}}{{\lambda }^{2}}}{2n\lambda }\] also \[\lambda =\frac{c}{v}=\frac{3\times {{10}^{8}}}{120\times {{10}^{6}}}=2.5m\] n=1, x=14.95m; n=3, x=1.65m; n=2, x=5.6m; n=4 not possible
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