A) \[6000\,\,{AA}\]
B) \[5000\,\,{AA}\]
C) \[3000\,\,{AA}\]
D) \[4500\,\,{AA}\]
Correct Answer: A
Solution :
\[\beta =\frac{\lambda D}{d}\] Þ b µ D Þ \[\frac{{{\beta }_{1}}}{{{\beta }_{2}}}=\frac{{{D}_{1}}}{{{D}_{2}}}\] Þ \[\frac{{{\beta }_{1}}-{{\beta }_{2}}}{{{\beta }_{2}}}=\frac{{{D}_{1}}-{{D}_{2}}}{{{D}_{2}}}\]Þ \[\frac{\Delta \beta }{\Delta D}=\frac{{{\beta }_{2}}}{{{D}_{2}}}=\frac{{{\lambda }_{2}}}{{{d}_{2}}}\] \[={{\lambda }_{2}}=\frac{3\times {{10}^{-5}}}{5\times {{10}^{-2}}}\times {{10}^{-3}}=6\times {{10}^{-7}}m=6000{AA}\]
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