When the rectangular metal tank in the figure is filled to the top with an unknown liquid, observer O, with eyes level with the top of the tank, can just see corner E. A ray that refracts toward O at the top surface of the liquid is shown. In terms of D and L, what is the index of refraction of the liquid? Normal to liquid surface nliquid =

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**Title: Index of Refraction in a Rectangular Tank**

When the rectangular metal tank in the figure is filled to the top with an unknown liquid, observer \(O\), with eyes level with the top of the tank, can just see corner \(E\). A ray that refracts toward \(O\) at the top surface of the liquid is shown. In terms of \(D\) and \(L\), what is the index of refraction of the liquid?

\[ n_{\text{liquid}} = \]

**Diagram Description:**

The diagram shows a tank filled with a liquid, represented as a rectangle with a light blue shaded area indicating the liquid. The height of the liquid in the tank is marked as \(D\), and the horizontal distance from observer \(O\) to corner \(E\) is marked as \(L\). A diagonal line represents a light ray traveling from point \(E\) through the liquid and refracting at the surface toward point \(O\). The direction of light refraction is indicated with an arrow. A dashed line perpendicular to the surface at point \(O\) is labeled "Normal to liquid surface."

**Objective:**

To determine the index of refraction (\(n_{\text{liquid}}\)) of the liquid in the tank using the given measurements \(D\) and \(L\).
Transcribed Image Text:**Title: Index of Refraction in a Rectangular Tank** When the rectangular metal tank in the figure is filled to the top with an unknown liquid, observer \(O\), with eyes level with the top of the tank, can just see corner \(E\). A ray that refracts toward \(O\) at the top surface of the liquid is shown. In terms of \(D\) and \(L\), what is the index of refraction of the liquid? \[ n_{\text{liquid}} = \] **Diagram Description:** The diagram shows a tank filled with a liquid, represented as a rectangle with a light blue shaded area indicating the liquid. The height of the liquid in the tank is marked as \(D\), and the horizontal distance from observer \(O\) to corner \(E\) is marked as \(L\). A diagonal line represents a light ray traveling from point \(E\) through the liquid and refracting at the surface toward point \(O\). The direction of light refraction is indicated with an arrow. A dashed line perpendicular to the surface at point \(O\) is labeled "Normal to liquid surface." **Objective:** To determine the index of refraction (\(n_{\text{liquid}}\)) of the liquid in the tank using the given measurements \(D\) and \(L\).
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