First slide

Refraction of light

Question

A hollow cylinder has diameter 10 cm and height 8.64 cm. When vessel is empty, observer E can see the point mark A. If vessel is filled with a liquid, he can see the point mark at the center. Find the refractive index of liquid.

Moderate

Solution

$\begin{array}{l} μ \sin α = 1 \times s i n β \\ \Rightarrow μ \frac{5}{\sqrt{5^{2} + {(8.64)}^{2}}} = \frac{10}{\sqrt{10^{2} + {(8.64)}^{2}}} \\ \Rightarrow μ = 1.5 \\ w h e n t h e v e s s e l i s f i l l e d w i t h t h e l i q u i d d u e t o r e f r a c t i o n \\ t h e l i g h t r a y w i l l b e n d a n d m a k e s t o s e e t h e m a r k a t t h e c e n r e . \\ A c c o r d i n g t o s n e l l s l a w t h e p r o b l e m i s s o l v e d . \end{array}$

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