A transparent slab of thickness d has a refra | vedclass

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

Question

(B) According to Snell's Law for a medium with a continuously varying refractive index,the product $n(z) \sin 	heta(z)$ remains constant throughout t

Vedclass · Accepted Answer

$A, C, D$

Vedclass · Answer

(B) According to Snell's Law for a medium with a continuously varying refractive index,the product $n(z) \sin 	heta(z)$ remains constant throughout the path of the light ray.At the interface between medium $1$ and the slab,$n_1 \sin 	heta_i = n(0) \sin 	heta(0)$.At the interface between the slab and medium $2$,$n(d) \sin 	heta(d) = n_2 \sin 	heta_f$.Since $n(z) \sin 	heta(z)$ is constant throughout the slab,$n(0) \sin 	heta(0) = n(d) \sin 	heta(d)$.Therefore,$n_1 \sin 	heta_i = n_2 \sin 	heta_f$. Thus,statement $(A)$ is true.The lateral displacement $l$ is the horizontal shift of the ray as it passes through the slab. This shift is determined by the integral of $	an 	heta(z)$ over the thickness $d$,where $\sin 	heta(z) = \frac{n_1 \sin 	heta_i}{n(z)}$. Since this integral depends only on $n_1, 	heta_i, d,$ and the function $n(z)$,the displacement $l$ is independent of $n_2$ and dependent on $n(z)$.Thus,statements $(A)$,$(C)$,and $(D)$ are true.

Similar Questions

$A$ ray of light is incident at the glass-water interface at an angle $i$. It emerges finally parallel to the surface of water. Then the value of refractive index of glass,${\mu _g}$,is:

If the angle of incidence is twice the angle of refraction in a medium of refractive index $\mu$,then the angle of incidence is

The wavelength of light in air and some other medium are respectively ${\lambda_a}$ and ${\lambda_m}$. The refractive index of the medium is:

Light of wavelength $7200 \ \mathring{A}$ in air. It has a wavelength in glass $(\mu = 1.5)$ equal to.......$\mathring{A}$

$A$ light ray is incident on a transparent sphere of refractive index $\mu = \sqrt{2}$ at an angle of incidence $i = 45^{\circ}$. What is the total deviation of a ray that enters the sphere,undergoes two internal reflections,and then refracts out into the air (in $^{\circ}$)?

Vedclass Test Series

Exam Paper Generator

Online Exam Module