Home
Class 11
PHYSICS
A light beam is traveling from Region I ...

A light beam is traveling from Region I to region IV (refer figure). The refractive indices in Region I, II, III, and IV are `n_(0), n_(0)//2,n_(0)//6 and n_(0)//8` , respectively. The angle of incidence `theta` for which the beam just misses entering Region IV is

Text Solution

Verified by Experts

As the beam just misses entering the region IV, the angle of refraction in the region IV must be `90^@`
Application of Snell.s law successively at different interfaces give
`n_0 sin theta= n_0/2 sin theta_1= n_0/6 sin theta_2=n_0/8 sin 90^@`
`implies sin theta=1/8 or theta= sin^-1 1/8`
Promotional Banner

Similar Questions

Explore conceptually related problems

A beam of light passes from medium 1 to medium 2 to medium 3 as shown figure. What may be concluded about the three indices of refraction, n_(1),n_(2),and n_(3) ?

A beam of electrons is moving with uniform velocity in a region having transverse uniform electric and magnetic field of strength. 100 V/m and 0.1 T respectively at right angles to the direction of beam. The velocity of the electrons is

An intially parallel cyclindrical beam travels in a medium of refractive index mu (I) = mu_(0) + mu_(2) I , where mu_(0) and mu_(2) are positive constants and I is intensity of light beam. The intensity of the beam is decreasing with increasing radius. Answer the following questions : As the beam enters the medium, it will

An intially parallel cyclindrical beam travels in a medium of refractive index mu (I) = mu_(0) + mu_(2) I , where mu_(0) and mu_(2) are positive constants and I is intensity of light beam. The intensity of the beam is decreasing with increasing radius. Answer the following questions : The initial shape of the wavefront of the beam is

An intially parallel cyclindrical beam travels in a medium of refractive index mu (I) = mu_(0) + mu_(2) I , where mu_(0) and mu_(2) are positive constants and I is intensity of light beam. The intensity of the beam is decreasing with increasing radius. Answer the following questions : The speed of light in the medium is

The value of I(n) =int_0^pi(sin ^2n theta)/(sin^2theta) d theta is (AA n in N)

A hollow double concave lens is made of very thin transparent material. It can be filled with air or either of two liquids L_(1) or L_(2) having refractive indices n_(1) and n_(2) , respectively (n_(2) gt n_(1) gt 1) . The lens will diverge parallel beam of light if it is filles with

A light ray enters into a medium whose refractive index varies along the x-axis as n(x) = n_(0) sqrt(1+(x)/(4)) where n_(0)=1 . The medium is bounded by the plates x =0,x =1 & y =0 . It the ray enters at the origin at an angle 30^(@) with x-axis

Let P(n): 2^(n) lt n! , then the smallest positive integer for which P(n) is true is: (i) 1 (ii) 2 (iii) 3 (iv) 4

In the figure, the point A(m, n) lies in Quadrant II as shown. In which region is the point B(n, m) ?