A) 1
B) 1/9
C) 1/4
D) 1/3
Correct Answer: C
Solution :
Slit width ratio = 1 : 9 Since slit width ratio is the ratio of intensity and intensity\[\propto \](amplitude)2 \[\therefore {{I}_{1}}:{{I}_{2}}=1:9\] \[\Rightarrow a_{1}^{2}:a_{2}^{2}=1:9\Rightarrow {{a}_{1}}:{{a}_{2}}=1:3\] \[{{I}_{\max }}={{({{a}_{1}}+{{a}_{2}})}^{2}},\ \ {{I}_{\min }}={{({{a}_{1}}-{{a}_{2}})}^{2}}\Rightarrow \frac{{{I}_{\min }}}{{{I}_{\max }}}=\frac{1}{4}\]
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