Geometrical OpticsMedium
Question
A thin prism with angle $5^{\circ}$ of refractive index 1.72 is combined with another prism of refractive index 1.9 to produce dispersion without deviation. The angle of second prism is $\_\_\_\_$ .
Options
A.${4.5}^{\circ}$
B.$6^{\circ}$
C.$4^{\circ}$
D.$5^{\circ}$
Solution
$\delta_{\text{net~}} = 0$
$$\begin{matrix} & \delta_{1} + \delta_{2} = 0 \\ & \left( \mu_{1} - 1 \right)A_{1} + \left( \mu_{2} - 1 \right)A_{2} = 0 \\ & {\text{ }A}_{2} = \frac{\left( \mu_{1} - 1 \right)A_{1}}{\left( \mu_{2} - 1 \right)} \\ & A_{2} = \frac{(1.72 - 1)}{(1.9 - 1)} \times 5^{\circ} = 4^{\circ} \end{matrix}$$
Create a free account to view solution
View Solution FreeMore Geometrical Optics Questions
A pendulum of length l is free to oscillate in vertical plane about point O in a medium of refractive index μ. An o...Consider the situation shown in figure. Water is filled in a beaker up to a height of 10 cm. A plane mirror is fixed at ...A rectangular tank of depth 8 meter is full of water (μ = 4/3), the bottom is seen at the depth...An object and a screen are fixed at a distance d apart. When a lens length f is moved between the object and the screen,...A ray of light incident on an equilateral prism at the minimum deviation position. The angle of refraction at the first ...