A) \[{{4}^{1/3}}mm\]
B) \[{{3}^{1/4}}mm\]
C) \[{{2}^{1/2}}mm\]
D) \[{{3}^{1/2}}mm\]
Correct Answer: A
Solution :
\[i\propto {{r}^{3/2}}\Rightarrow \] \[\frac{{{r}_{2}}}{{{r}_{1}}}={{\left( \frac{{{i}_{2}}}{{{i}_{1}}} \right)}^{3/2}}={{\left( \frac{3}{1.5} \right)}^{2/3}}={{(4)}^{1/3}}\] \[\Rightarrow {{r}_{2}}={{(4)}^{1/3}}\times {{r}_{1}}={{4}^{1/3}}\] (Q r1 = 1 mm)
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