Question:
White light is incident on the interface of glass and air as
shown in the figure. If green light is just totally internally
reflected then the emerging ray in air contains.
White light is incident on the interface of glass and air as
shown in the figure. If green light is just totally internally
reflected then the emerging ray in air contains.
Updated On: Jan 11, 2024
- yellow, orange, red
- violet, indigo, blue
- all colours
- all colours except green
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The Correct Option is A
Solution and Explanation
Critical angle $\theta_C=sin^{-1} \big(\frac{1}{\mu}\big)$
Wavelength increases in the sequence of VIBGYOR.
According to Cauchy's formula refractive index $(\mu)$
decreases as the wavelength increases. Hence the refractive
index will increase in the sequence of ROYGBIV. The
critical angle $\theta_C$ will thus increase in the same order
VIBGYOR.
For green light the incidence angle is just equal to the critical
angle. For yellow, orange and red the critical angle will be
greater than the incidence angle. So, these colours will
emerge from the glass air interface.
Hence, the correct option is (a).
Wavelength increases in the sequence of VIBGYOR.
According to Cauchy's formula refractive index $(\mu)$
decreases as the wavelength increases. Hence the refractive
index will increase in the sequence of ROYGBIV. The
critical angle $\theta_C$ will thus increase in the same order
VIBGYOR.
For green light the incidence angle is just equal to the critical
angle. For yellow, orange and red the critical angle will be
greater than the incidence angle. So, these colours will
emerge from the glass air interface.
Hence, the correct option is (a).
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Concepts Used:
Reflection of Light
When a light ray falls on any object, it is bounced back from the object. This process is known as the Reflection of light. The light reflected from the object falls into our eyes, making the object visible to us. All the things we see around us are because of reflection.
The reflection of light depends on the type of object. A polished or smooth surface reflects most of the light falling on it, while a rough surface absorbs some amount of light and reflects back the rest of the light. The direction of reflected rays depends upon the surface of the object.