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Question

# A plane mirror is made of glass slab (n=1.5)2.5cm thick and silvered back. A point object placed 5cm in front the unsilvered face of the mirror. The position of final image is:

A
12cm from unsilured face
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B
14.6cm from unsilvered face
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C
5.67cm from unsilvered face
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D
8.33cm from from unsilvered face
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Solution

## The correct option is D 8.33cm from from unsilvered face Let I1,I2 and I3 be the image formed by (i) refraction from ADC (ii) reflection from BEF. (iii) Again refraction from ADC. Then BI1=5n=5(1.5)=7.5=7.5 cm Now ϵI1=(7.5+2.5)cm=10 cm∈I2=10 cm behind the mirror. Now, BI2=10+2.5=12.5 cm∴BI3=12.5π=12.51.5=8.33 cm Hence, D is the correct answer

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