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The apparent depth of an object at the bottom of a tank filled with a liquid of refractive index 1.3 is 7.7 cm. What is the actual depth?

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Question

The apparent depth of an object at the bottom of a tank filled with a liquid of refractive index 1.3 is 7.7 cm. What is the actual depth?

Numerical
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Solution

Given:

Apparent depth = 7.7 cm

Refractive index, n = 1.3

Formula:

n = `"Real depth"/"Apparent depth"`

Real depth = n × Apparent depth

= 1.3 × 7.7

= 10.01 cm

The actual (real) depth is approximately 10 cm.

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