explain why a test tube immersed at a certain angle in a tumbler of water appears to have a mirror surface for a certain viewing position
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1.) When rays of light travel through water strikes the water glass interface of test tube at an angle which is more than critical angle for water. Then the light ray suffers total internal reflection.
2.) When these totally reflected rays reach the eye, then they appear to come from surface of test tube.
3.) So, the test tube appears as it has mirror surface.
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