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A vessel of depth t is half filled with a liquid having refractive index n₁ and the other half is filled with water of having refractive index n₂ . The apparent depth of the vessel as viewed from top is

Options

  1. A2 t (n₁+n₂ ) n₁ n₂
  2. Bt n₁ n₂ (n₁+n₂ )
  3. Ct (n₁+n₂ ) 2 n₁ n₂
  4. Dn₁ n₂ (n₁+n₂ ) t

Correct answer

C. t (n₁+n₂ ) 2 n₁ n₂

Step-by-step solution

The apparent depth is given by aligned I^ & = t₁ n₁ + t₂ n₂ & = t / 2 n₁ + t / 2 n₂ = t (n₁+n₂ ) 2 n₁ n₂ aligned

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