Home
Class 12
PHYSICS
The angle of minimum deviation for a gla...

The angle of minimum deviation for a glass prism with `mu=sqrt3` equals the refracting angle of the prism. What is the angle of the prism?

A

`45^(@)`

B

`30^(@)`

C

`90^(@)`

D

`60^(@)`

Text Solution

Verified by Experts

The correct Answer is:
D
Using, `mu = (sin((A+delta_(m))/(2)))/(sin'A/2)`
According to question, `delta_(m) = A`
`:. sqrt(3) = (sin((A+A)/(2)))/(sin'A/2)` , (Given, `mu = sqrt(3)`)
`sqrt(3) = (sinA)/(sin'A/2) = (2sin'A/2cos'A/2)/(sin'A/2)` or `cos'A/2 = (sqrt(3))/(2) = cos30^(@)`
`rArr A/2 = 30^(@) rArr A = 60^(@)`
Promotional Banner

Topper's Solved these Questions

  • RAY OPTICS AND OPTICAL INSTRUMENTS

    NCERT FINGERTIPS|Exercise Some Natural Phenomena Due To Sunlight|2 Videos

  • RAY OPTICS AND OPTICAL INSTRUMENTS

    NCERT FINGERTIPS|Exercise Optical Instruments|16 Videos

  • RAY OPTICS AND OPTICAL INSTRUMENTS

    NCERT FINGERTIPS|Exercise Reflection At Spherical Surfaces And By Lenses|41 Videos

  • PRACTICE PAPPER

    NCERT FINGERTIPS|Exercise Practice Paper 3|50 Videos

  • SEMICONDUCTOR ELECTRONICS : MATERIALS , DEVICES AND SIMPLE CIRCUITS

    NCERT FINGERTIPS|Exercise Assertion And Reason|15 Videos

Similar Questions

Explore conceptually related problems

The least angle of deviation for a glass prism is equal to its refracting angle. The refractive index of glass is 1.5. Then the angle of the prism is

The angle of minimum deviation of a prism of refractive index sqrt(3) is equal to its refracting angle. Then the refracting angle of the prism is

A prism is made of glass of refractive index 1.5. If the angle of minimum deviation is equal to the refracting angle of the prism, calculate the angle of the prism.

The angle of minimum deviation of a prism of refractive index sqrt(3) is equal to its refracting angle. Then the refracting angle of that prism is

Angle of minimum deviation for a prism of refactive index 1.5, is equal to the angle of the prism. Then the angle of the prism is (cos 41^(@) = 0.75)

Angle of minimum deviation for a prism of refactive index 1.5, is equal to the angle of the prism. Then the angle of the prism is ______ (sin 48^(@) 36' = 0.75)

The angle of minimum deviation caused by a prism is equal to the angle of the prism. What are the possible values of refractive index of the material of the prism?

Minimum angle of deviation of a glass prism is equal to angle of prism. What is angle of prism?