Question:
A vessel of depth d is half-filled with a liquid of refractive index ₁ and the upper half with a liquid of refractive index ₂. The apparent depth of the vessel seen perpendicularly is:
A vessel of depth d is half-filled with a liquid of refractive index ₁ and the upper half with a liquid of refractive index ₂. The apparent depth of the vessel seen perpendicularly is:
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For multiple media, add apparent depths layer-wise.
Updated On: Mar 18, 2026
- d(₁₂)/(₁+₂)
- d((1)/(₁)+(1)/(₂))
- 2d((1)/(₁)+(1)/(₂))
- 2d((1)/(₁₂))
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The Correct Option is B
Solution and Explanation
Step 1: Apparent depth formula. Apparent depth = real depthμ
Step 2: Applying to two layers. dₐ = (d/2)/(₁) + (d/2)/(₂)
Step 3: Simplifying. dₐ = d((1)/(₁)+(1)/(₂))
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