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Combinations of Lenses & Mirrors

A cubical ves...

Question

A cubical vessel has opaque walls. An observer (dark circle in figure below) is located such that she can see only the wall CD but not the bottom. Nearly to what height should water be poured so that she can see an object placed at the bottom at a distance of 10cm from the corner C ? (Refractive index of water is 1.33.

A

10 cm

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B

16 cm

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C

27 cm

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D

45 cm

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Solution

The correct option is C
27 cm

$μ s i n r = 1. s i n 45^{\circ} \frac{4}{3} s i n r = \frac{1}{\sqrt{2}} \frac{4}{3} \frac{y - 10}{\sqrt{(y - 10)^{2}} + y^{2}} = \frac{1}{\sqrt{2}} y = 27$

(approximate calculation)

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