Home
Class 12
PHYSICS
When light rays are incident on a prism ...

When light rays are incident on a prism at an angle of `45^(@)`, the minimum deviation is obtained. If refractive index of the material of prism is `sqrt(2)`, then the angle of prism will be

A

`30^(@)`

B

`40^(@)`

C

`50^(@)`

D

`60^(@)`

Text Solution

Verified by Experts

The correct Answer is:
D
`"As ",mu=sin((A+delta)/2)/(sin(A/2))`
Where , `delta` denotes minimum deviation. In minimum deviation position,
`"As ",i=((A+delta)/(2))implies45^(@)=((A+delta)/(2))`
`therefore" "mu=(sin45^(@))/(sin(A/2))impliessqrt2=(1)/(sqrt2.sin(A/2))`
`impliessin(A/2)=1/2=sin30^(@)`
`impliesA=60^(@)`
Promotional Banner

Similar Questions

Explore conceptually related problems

The refractive index of the material of prism sqrt3, then the angle os minimum deviation of prism is

The refractive angle of a prism is 60^(@) . What is the angle of minimum deviation, if the refractive index of the material of the prism is sqrt2 ?

A thin prism deviates an incident ray by 3.2^@ . If the refractive index of the prism is 2.6 then the angle of prism is

A monochromatic light is incident at a certain angle on an equilateral triamgular prism and suffers minimum deviation . If the refractive index of the material of the prism is sqrt(3) , them the angle of incidence is :

The refracting angle of a prism is A and refractive index of the material of prism is cot(A//2) . The angle of minimum deviation will be

When a ray of light falls on a prism of angle 48^(@) , it suffers minimum deviation. Refractive index of the material of prism is 1.6 . The angle of incidence is nearly

The angle of the prism is A and B if the angle of minimum deviation is (180^(@) - 2A) then the refractive index of the material of the prism is

The refracting angle of the prismis 60^(@) .What is the angle of incidence for minimum deviation?The refractive index of material of prism is sqrt(2) .