(A) For a prism,the angle of the prism is given by $A = r_1 + r_2$. Since the ray emerges normally from the second face,the angle of emergence $e = 0$

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(A) For a prism,the angle of the prism is given by $A = r_1 + r_2$. Since the ray emerges normally from the second face,the angle of emergence $e = 0$,which implies $r_2 = 0$. Therefore,$A = r_1$. Using Snell's law at the first surface: $n = \frac{\sin i}{\sin r_1}$. Substituting $r_1 = A$,we get $n = \frac{\sin i}{\sin A}$. For a thin prism,the angles $i$ and $A$ are very small,so $\sin i \approx i$ and $\sin A \approx A$. Thus,$n = \frac{i}{A}$,which gives $i = An$.

Class 12 Physics Ray Optics and Optical Instruments Refraction Through Prism

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$A$ ray of light is incident at an angle '$i$' on one face of a thin prism. The ray emerges normally from the other face. If the refractive index of the glass prism is '$n$' and the angle of the prism is '$A$',then the value of '$i$' is:

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A
$An$
B
$An^2$
C
$\frac{A}{n}$
D
$\frac{A}{n^2}$

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Ray Optics and Optical Instruments

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Refraction Through Prism

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$A$ ray of light is incident at an angle '$i$' on one face of a thin prism. The ray emerges normally from the other face. If the refractive index of the glass prism is '$n$' and the angle of the prism is '$A$',then the value of '$i$' is:

Similar Questions

$A$ ray of light is incident normally on the diagonal face of a right-angled prism as shown in the figure. If $\theta = 37^o$ and the refractive index of the prism is $\mu = 5/3$,then the angle of deviation is......$^o$ $(\sin37^o = 3/5)$

For a symmetric (equilateral) prism,the prism formula can be written as

The refracting angle of a prism is $A,$ and the refractive index of the material of the prism is $\cot(A/2).$ The angle of minimum deviation is:

$A$ prism is made up of material of refractive index $\sqrt{3}$. The angle of the prism is $A$. If the angle of minimum deviation is equal to the angle of the prism,then the value of $A$ is: (in $^{\circ}$)

At what angle of incidence should a ray of light be incident on a face of an equilateral prism if the angle of minimum deviation is $46^{\circ}$ (in $^{\circ}$)?

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