A) \[2.5\times {{10}^{-5}}cm\]
B) \[1.25\times {{10}^{-5}}cm\]
C) \[10\times {{10}^{-5}}cm\]
D) \[5\times {{10}^{-5}}cm\]
Correct Answer: C
Solution :
[c] For first minimum, \[d\sin \theta =\lambda \] \[\Rightarrow \,\,d=\frac{\lambda }{\sin \theta }=\frac{5000\times {{10}^{-8}}cm}{\sin {{30}^{o}}}\] \[\frac{=5000\times {{10}^{-8}}cm}{{\scriptstyle{}^{1}/{}_{2}}}=10\times {{10}^{-5}}cm\]
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