A beam of light consisting of red,green and b | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) As the beam of light is incident normally on the face $AB$ of the right-angled prism $ABC$,no refraction occurs at face $AB$. The light passes str

Vedclass · Accepted Answer

separate the red colour part from the green and blue colours

Vedclass · Answer

(A) As the beam of light is incident normally on the face $AB$ of the right-angled prism $ABC$,no refraction occurs at face $AB$. The light passes straight and strikes the face $AC$ at an angle of incidence $i = 45^{\circ}$.For total internal reflection to take place at face $AC$,the condition is $i > i_c$,where $i_c$ is the critical angle.We know that $\sin i_c = \frac{1}{\mu}$. Therefore,the condition for total internal reflection is $\sin i > \frac{1}{\mu}$,or $\mu > \frac{1}{\sin i}$.Given $i = 45^{\circ}$,we have $\sin 45^{\circ} = \frac{1}{\sqrt{2}} \approx 0.707$. Thus,the condition becomes $\mu > \sqrt{2} \approx 1.414$.Comparing the refractive indices:For red: $\mu_{	ext{red}} = 1.39 For green: $\mu_{	ext{green}} = 1.44 > 1.414$.For blue: $\mu_{	ext{blue}} = 1.47 > 1.414$.Since $\mu_{	ext{red}} Therefore,the prism will separate the red colour from the green and blue colours.

$A$ beam of light consisting of red,green and blue colours is incident on a right-angled prism. The refractive index of the material of the prism for the above red,green and blue wavelengths are $1.39, 1.44$ and $1.47$ respectively.
The prism will

Similar Questions

Explain the phenomenon of total internal reflection in a right-angled prism.

Glass has refractive index $\mu$ with respect to air and the critical angle for a ray of light going from glass to air is $\theta$. If a ray of light is incident from air on the glass with angle of incidence $\theta$,the corresponding angle of refraction is:

$A$ ray of light from a denser medium strikes a rarer medium. The angle of reflection is $r$ and that of refraction is $r'$. The reflected and refracted rays make an angle of $90^{\circ}$ with each other. The critical angle will be:

$A$ fish is a little below the surface of a lake. If the critical angle is $49^\circ$,then the fish could see things above the water surface within an angular range of $\theta^\circ$ where

The speed of light in media $A$ and $B$ are $2.0 \times 10^{10} \, cm/s$ and $1.5 \times 10^{10} \, cm/s$ respectively. $A$ ray of light enters from medium $B$ to $A$ at an incident angle $\theta$. If the ray suffers total internal reflection,then:

Vedclass Test Series

Exam Paper Generator

Online Exam Module

$A$ beam of light consisting of red,green and blue colours is incident on a right-angled prism. The refractive index of the material of the prism for the above red,green and blue wavelengths are $1.39, 1.44$ and $1.47$ respectively.The prism will