A) 2 cm
B) 4 cm
C) 6 cm
D) 12 cm
Correct Answer: C
Solution :
Using refraction formula \[\frac{_{1}{{\mu }_{2}}-1}{R}=\frac{_{1}{{\mu }_{2}}}{v}-\frac{1}{u}\] in given case, medium (1) is glass and (2) is air So \[\frac{_{g}{{\mu }_{a}}-1}{R}=\frac{_{g}{{\mu }_{a}}}{v}-\frac{1}{u}\] \[\Rightarrow \frac{\frac{1}{1.5}-1}{-6}=\frac{1}{1.5\,v}-\frac{1}{-6}\] \[\Rightarrow \frac{1-1.5}{-6}=\frac{1}{v}+\frac{1.5}{6}\]\[\Rightarrow \frac{0.5}{6}=\frac{1}{v}+\frac{1}{4}\] \[\Rightarrow \frac{1}{v}=\frac{1}{12}-\frac{1}{4}=-\frac{2}{12}=-\frac{1}{6}\]Þ v = 6 cm
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