A beam of initially parallel cylindrical ligh | vedclass

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

Question

(B) The speed of light $v$ in a medium is given by $v = \frac{c}{\mu}$,where $c$ is the speed of light in vacuum and $\mu$ is the refractive index.Giv

Vedclass · Accepted Answer

Minimum on the axis of the beam

Vedclass · Answer

(B) The speed of light $v$ in a medium is given by $v = \frac{c}{\mu}$,where $c$ is the speed of light in vacuum and $\mu$ is the refractive index.Given $\mu(I) = \mu_0 + \mu_2 I$,the refractive index depends on the intensity $I$.Since the intensity $I$ is typically maximum on the axis of a cylindrical beam and decreases as we move radially outward,the refractive index $\mu$ will also be maximum on the axis.Because $v = \frac{c}{\mu}$,a higher refractive index $\mu$ results in a lower speed $v$.Therefore,the speed of light $v$ is minimum on the axis of the beam.

$A$ beam of initially parallel cylindrical light rays travels in a medium with a refractive index $\mu(I) = \mu_0 + \mu_2 I$,where $\mu_0$ and $\mu_2$ are positive constants and $I$ is the intensity. As the intensity of the beam decreases with radius,the speed of light in the medium is:

Similar Questions

An object is immersed in a fluid. In order that the object becomes invisible,it should

The frequency of a light ray is $6 \times 10^{14} \,Hz$. Its frequency when it propagates in a medium of refractive index $1.5$, will be

$A$ ray of light is incident at $30^{\circ}$ from a medium of refractive index $2$ into a medium of refractive index $1$. The angle of refraction is: (in $^{\circ}$)

What is the effect on the speed and wavelength of light when a light wave is refracted from a denser medium to a rarer medium?

Vedclass Test Series

Exam Paper Generator

Online Exam Module