Home
Class 12
PHYSICS
Two isosceles prism of prism angle A and...

Two isosceles prism of prism angle `A` and refractive index `mu` are placed with their bases touching each other. This system can act as a crude converging lens. The focal length of the lens for `A=10^(@),mu=1.5` and a ray of light incident on a prims at a height of `1` cm from its base, is approximately.

A

`11.5` cm

B

`23.0`cm

C

zero

D

`5.75`cm

Text Solution

Verified by Experts

The correct Answer is:
A

For small angles `tan delta=h/f`

Also `tan delta=delta=(mu-1)A`
`h/((mu-1)A)=f`
`10^(0)=(pi)/18` radian
`f=(1xx18)/(0.5xx3.14)=11.5cm`
Promotional Banner

Similar Questions

Explore conceptually related problems

Two identical thin isosceles prisms of refracting angle A and refractive index mu are placed with their bases touching each other and this system can collectively act as a crude converging lens. A parallel beam of light is incident on this system as shown in Figure. Find the focal length of this so called converging lens.

Two identical thin isosceles prims of refracting angle theta and refractive index mu are placed with their bases touching each other. A parallel beam , of width 2b, is incident on this system , as shown. The distance of the point of convergence from the prism is

An isosceles prism of angle 120degree has a refractive index 1.44. Two parallel monochromatic rays enter the prism parallel to each other in air as shown. The rays emerge from the opposite faces

The angle of prism is 60^(@) and its refractive index is 1.5. There will be no emergent light if the angle of incidence on the first face is

A thin converging lens of refractive index 1.5 has a focal power of 5 D. When this lens is immersed in a liquid, it acts as a diverging lens of focal length 100 cm. The refractive index of the liquid is

The base of a prism is a right angled triangle, the length of whose hypotenuse is 10 cm. If the lateral surface area of the prism be 384 cm^ 2 and its height be 16 cm. The other two sides of its base is

Radii of curvature of a converging lens are in the ratio 1 : 2 . Its focal length is 6 cm and refractive index is 1.5 . Then its radii of curvature are

A glass prism has a refractive angle of 90^(@) and a refractive index of 1.5. A ray is incident at an angle of 30^(@) . The ray emerges from an adjacent face at an angle of

A thin glass lens of refractive index mu_2=1.5 behaves as an interface between two media of refractive indices mu_1=1.4 and mu_3=1.6 respectively. Determine the focal length of the lens for the shown arrangement of radius of curvature of both surfaces 20 cm.