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Showing posts with the label real depth by mu formula optics

Apparent Shift in Two Liquids 🔥 | JEE Trick

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  ❓ Concept Question How do we calculate the apparent shift of bottom when light passes through multiple liquid layers ? 🖼 Concept Image ✍️ Short Concept In multi-layer systems, each layer affects light separately . Final apparent depth is obtained by adding contributions of each layer . 🔷 Step 1 — Apparent Depth Rule 💯 When viewed from air: Apparent depth = Real depth μ \text{Apparent depth} = \frac{\text{Real depth}}{\mu} 👉 Higher refractive index ⇒ object appears closer 🔷 Step 2 — Multiple Liquids = Layer-wise Effect For multiple layers: Total apparent depth = h 1 μ 1 + h 2 μ 2 + ⋯ \text{Total apparent depth} = \frac{h_1}{\mu_1} + \frac{h_2}{\mu_2} + \cdots ⚠️ Never combine into a single refractive index 👉 Each layer acts independently 🔷 Step 3 — Real Depth vs Apparent Depth Total real depth: h t o t a l = h 1 + h 2 h_{total} = h_1 + h_2 Shift: Shift = Real depth − Apparent depth \text{Shift} = \text{Real depth} - \text...