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Physics · 2022 · 3 marks
CBSE 2022 · Region 4 · Set 2 · Q11
The figure shows a water column BCFE surrounded by two media (1) and (3) of the same refractive index √ 2. A ray of light from a point source S is…
The figure shows a water column BCFE surrounded by two media
(1) and ($\displaystyle 3$) of the same refractive index $\displaystyle \sqrt{2}$. A ray of light from a point source S is incident on surface BE at an angle of $\displaystyle 30$°.
(a)
Trace the path of ray through media ($\displaystyle 2$) and ($\displaystyle 3$) as it emerges out of face CG.
(b)
Find the angle of emergence at face CG.
Marking-scheme solution
a) 
Refraction from face CF
$\displaystyle \frac{4}{3}$ Sin $\displaystyle \mathrm{r}=\sqrt{2}$ Sin $\displaystyle \mathrm{r}_{2}$
$\displaystyle \frac{4}{3} \times \frac{3}{4 \sqrt{2}}=\sqrt{2}$ Sin $\displaystyle \mathrm{r}_{2}$
$\displaystyle \mathrm{r}_{2}=30^{0}$
$\displaystyle \angle C+\angle C R S+\angle C S R=180^{0}$
$\displaystyle 30^{\circ}+60^{\circ}+\angle C S R=180^{\circ}$
Ray goes perpendicularly out from face CG
$\displaystyle \mathrm{e}=0$
∴ Ray RS incidents perpendicular to CS
∴ angle of emergence of the ray is zero.
Alternatively-
As medium is same on both side of the water column.
Angle of emergence
Now
$\displaystyle \mathrm{r}_{2}=30^{0}$
$\displaystyle \mathrm{r}_{1}+30=30$
$\displaystyle \mathrm{r}_{1}=0, \quad$ Hence $\displaystyle \mathrm{e}=0$All Ray Optics and Optical Instruments questions2022 question paperNCERT solutions: Ray Optics and Optical InstrumentsPractice Ray Optics and Optical Instruments →
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