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Three glass cylinders of equal height H = 30 cm and same refractive index n = 1.5 are placed on a horizontal surface as shown in figure. Cylinder I has a flat top, cylinder II has a convex top and cylinder III has a concave top. The radii of curvature of the two curved tops are same (R = 3m). If `H_(1), H_(2)` and `H_(3)` are the apparent depths of a point X on the bottom of the three cylinder, respectively, the correct statement(s) is/are :

A

`H_(3) gt H_(1)`

B

0.8 cm `lt (H_(2)-H_(1)) lt` 0.9 cm

C

`H_(2) gt H_(1)`

D

`H_(2) gt H_(3)`

Text Solution

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The correct Answer is:
C, D
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