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A ray of light is incident at an angle 'i' on one face of a thin angled prism. The ray emerges normally from the other face. Refractive index of the glass prism is 'n' and
angle of prism is ' $A^{\prime}$. The value of ' $\mathrm{i}^{\prime}$ is
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angle of prism is ' $A^{\prime}$. The value of ' $\mathrm{i}^{\prime}$ is
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Verified Answer
The correct answer is:
$\mathrm{An}$
(A)
For a prism $\quad \mathrm{A}=\mathrm{r}_{1}+\mathrm{r}_{2}$
here $\quad r_{2}=0 \quad \therefore \quad A=r_{1}$
Refractive index $\mathrm{n}=\frac{\sin \mathrm{i}}{\sin \mathrm{r}_{1}}=\frac{\mathrm{i}}{\mathrm{r}_{1}}=\frac{\mathrm{i}}{\mathrm{A}}$
$\therefore \mathrm{i}=\mathrm{An}$
For a prism $\quad \mathrm{A}=\mathrm{r}_{1}+\mathrm{r}_{2}$
here $\quad r_{2}=0 \quad \therefore \quad A=r_{1}$
Refractive index $\mathrm{n}=\frac{\sin \mathrm{i}}{\sin \mathrm{r}_{1}}=\frac{\mathrm{i}}{\mathrm{r}_{1}}=\frac{\mathrm{i}}{\mathrm{A}}$
$\therefore \mathrm{i}=\mathrm{An}$
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