JEE Mains · Physics · STD 12 - 9. Ray optics and optical instruments
A vessel of depth \(d\) is half filled with oil of refractive index \(n_1\) and the other half is filled with water of refractive index \(n_2\). The apparent depth of this vessel when viewed from above will be
- A \(\frac{d n_1 n_2}{\left(n_1+n_2\right)}\)
- B \(\frac{d\left(n_1+n_2\right)}{2 n_1 n_2}\)
- C \(\frac{d n_1 n_2}{2\left(n_1+n_2\right)}\)
- D \(\frac{2 d \left( n _1+ n _2\right)}{ n _1 n _2}\)
Answer & Solution
Correct Answer
(B) \(\frac{d\left(n_1+n_2\right)}{2 n_1 n_2}\)
Step-by-step Solution
Detailed explanation
Formula used \(d _{ app }=\frac{ d _1}{ n _1}+\frac{ d _2}{ n _2}\) \(d _{a p p}=\frac{ d }{2}\left\lfloor\frac{ n _1+ n _2}{ n _1 n _2}\right\rfloor\)
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