A) should be greater than three times the radius of curvature of the refracting surface
B) should be greater than two times the radius of curvature of the refracting surface
C) should be greater than the radius of curvature of the refracting surface
D) is independent of the radius of curvature of the refracting surface
Correct Answer: A
Solution :
Applying, \[\frac{{{\mu }_{2}}}{v}-\frac{{{\mu }_{1}}}{u}=\frac{{{\mu }_{2}}-{{\mu }_{1}}}{R}\] |
\[\frac{1}{v}-\frac{1.5}{\left( -5 \right)}=\frac{1-\left( 1.5 \right)}{-R}\] or \[\frac{1}{v}+\frac{3}{2u}=\frac{1}{2R}\] |
For v to be positive \[\frac{1}{2R}>\frac{3}{2u}\] or \[u>3R\] |
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