168. According to the figure below, a light ray enters from medium (1) (transparent) into other transparent media. If the speed of light in medium (1) is 25\% less than the speed of light in medium (2), and the speed of light in medium (4) is 40\% greater than the speed of light in medium (3), how many times is the refractive index of medium (2) equal to the refractive index of medium (3)? $$(\sin 53^\circ = 0.8,\quad \sin 45^\circ = 0.7)$$ [Figure: A light ray passing through four media $n_1$, $n_2$, $n_3$, $n_4$ with angles of incidence $53^\circ$ and $45^\circ$ shown, along with a normal line.] (1) $\dfrac{4}{3}$ (2) $\dfrac{6}{5}$ (3) $\dfrac{3}{4}$ (4) $\dfrac{5}{6}$ \begin{flushright} \fbox{Workspace} \end{flushright} www.riazisara.ir %% Page 13 Physics121-APage 12
\textbf{168.} According to the figure below, a light ray enters from medium (1) (transparent) into other transparent media. If the speed of light in medium (1) is 25\% less than the speed of light in medium (2), and the speed of light in medium (4) is 40\% greater than the speed of light in medium (3), how many times is the refractive index of medium (2) equal to the refractive index of medium (3)?
$$(\sin 53^\circ = 0.8,\quad \sin 45^\circ = 0.7)$$
\textit{[Figure: A light ray passing through four media $n_1$, $n_2$, $n_3$, $n_4$ with angles of incidence $53^\circ$ and $45^\circ$ shown, along with a normal line.]}
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(1) $\dfrac{4}{3}$
(2) $\dfrac{6}{5}$
(3) $\dfrac{3}{4}$
(4) $\dfrac{5}{6}$
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