Home
Class 11
PHYSICS
Figure shows an irregular block of mater...

Figure shows an irregular block of material of refractive indec `sqrt(2)`. A ray of light strikes the face AB as shown. After refraction, it is incident on a spherical surface CD of radius of curvature 0.4 m and enters a medium of refractive index 1.514 to meet PQ at E. Find the distance OE up to two places of decimal.

Text Solution

Verified by Experts

The correct Answer is:
`(1.514xx0.4)/(0.1)`=`6.06m` correct upto two places of decimal.

taking refracion at`AB`
`1xxsin 45^(@) =sqrt(2) "sin" theta`
`"sin" theta=(1)/(2)`
`theta=30^(@)`
So, ray becomes parallel after refraction Applying law of refraction at curved surface.
`(mu_(2))/(v)-(mu_(1))/(u)=(mu_(2)-mu_(1))/(R )`
`(1.514)/(v)-(sqrt(2))/(oo)=(1.514-sqrt(2))/(0.4)`
`(1.514)/(v)=(1.514-1.414)/(0.4)`
`(1.514)/(v) =(1)/(4)`
`v=1.514xx4`
`v=6.056m`
`v=6.06m`
Promotional Banner

Similar Questions

Explore conceptually related problems

A concave spherical surface of radius of curvature 10 cm separates two medium x & y of refractive index 4/3 & 3/2 respectively. If the object is placed along principal axis in medium X then

A ray of light incident on one of the face of a prism as shown. After refraction through this surface ray is incident on base of the prism. The refractive index of the prism is sqrt(3) . The net deviation of the ray due to prism is

A light ray is incident on an irregular shaped slab of refractive index sqrt(2) at an angle of 45^@ with the normal on the incline face as shown in the figure. The ray finally emerges from the curved surface in the medium of the refractive index mu = 1.514 and passes through point E. If the radius of curved surface is equal to 0.4 m. find the distance OE correct upto two decimal places.

A concave lens made of material of refractive index 1.6 is immersed in a medium of refractive index 2.0 The two surfaces of the concave lens have the same radius of curvature 0.2 m. The lens will behave as a

A ray of light travelling inside a rectangular glass block of refractive index sqrt(2) is incident on the glass–air surface at an angle of incidence of 45^(@) . The refractive index of air is 1. Under these conditions the ray

A ray of light is incident normally on one face of a prism as shown in figure. The refractive index of the material of the prism is (5)/(3) and the prism is immersed in water of refractive index (4)/(3) , then

A liquid of refractive index 1.6 is contained in the cavity of a glass specimen of refractive index 1.5 as shown in figure. If each of the curve surface has a radius of curvature of 0.20m, the arrangement obehaves as a