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one face of a rectangular glass plate 8 cm thick is silvered.An object held at10 cm in front of the unsilvered face for an image 12 cm behind the solvered face what is the refractive index of the glass

one face of a rectangular glass plate 8 cm thick is silvered.An object held at10 cm in front of the unsilvered face for an image 12 cm behind the solvered face what is the refractive index of the glass

Grade:12th pass

1 Answers

Arun
25750 Points
6 years ago
Thickness of glass plate (t) = 8 cm;
Distance of the object (u) = 10 cm.
And distance of the image (v) = 12 cm.
Let x = Apparent position of the silvered surface in cm,
Since the image is formed due to reflection at the silvered face and by the property of mirror image
Distance of object from the mirror = Distance of image from the mirror
or, x + 10 = 12 + 8 – x
x = 5 cm.
Therefore, refractive index of glass = real depth/apparent depth
= 8/5
= 1.6

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