A) 1.0 cm
B) 1.5 cm
C) 3.75 cm
D) 2.5 cm
Correct Answer: D
Solution :
[d]Distance of image from the plane surface is |
\[{{x}_{1}}=\frac{4}{1.6}=2.5cm\left( {{d}_{app}}=\frac{{{d}_{actual}}}{\mu } \right)\] |
For the curved side, \[\frac{1}{{{x}^{2}}}-\frac{1.6}{4}=\frac{1-1.6}{8}\] |
\[\therefore \] \[{{x}_{2}}\approx -3.0cm\] |
The minus sign means the image is on the object side |
\[\therefore \] \[{{l}_{1}}{{l}_{2}}=(8-2.5-3.0)cm=2.5cm\] |
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