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Two immiscible liquids of refractive indices 8 5 and 3 2 respectively are put in a beaker as shown in the figure. The height of each column is 6 cm . A coin is placed at the bottom of the beaker. For near normal vision, the apparent depth of the coin is α 4 cm . The value of α is _______.

Correct answer

0

Step-by-step solution

The formula to calculate the apparent height of the coin when seen through the combination of liquids can be written as h app = h 1 μ 1 + h 2 μ 2 . . . 1 From equation (1), it follows that h app = 6 3 / 2 + 6 8 / 5 cm = 4 + 15 4 cm = 31 4 cm Hence, α = 31 .

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