Home
Class 12
PHYSICS
A ray of light is incident on the hypote...

A ray of light is incident on the hypotenuse of a right-angled prism after travelling parallel to the base inside the prism. If `mu` is the refractive index of the material of the prism, the maximum value of the base angle for which light is totally reflected from the hypotenuse is

A

`sin^(-1) ((I)/(mu))`

B

`tan^(-1) ((1)/(mu))`

C

`sin^(-1) ((mu-1)/(mu))`

D

`cos^(-1)((1)/(mu))`

Text Solution

Verified by Experts

The correct Answer is:
D
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • RAY OPTICS

    CENGAGE PHYSICS|Exercise DPP 1.6|12 Videos

  • RAY OPTICS

    CENGAGE PHYSICS|Exercise DPP 1.4|15 Videos

  • PHOTOELECTRIC EFFECT

    CENGAGE PHYSICS|Exercise Integer Type|4 Videos

  • RAY OPTICS AND OPTICAL INSTRUMENTS

    CENGAGE PHYSICS|Exercise QUESTION BANK|40 Videos

Similar Questions

Explore conceptually related problems

A ray of light normally on one of the faces of a right-angled isosceles glass prism is found to be totally reflected. What is the minimum value of the refractive index of the material of the prism ?

Light is incident normally on the short face of a 30^@-60^@-90^@ prism. A liquid is poured on the hypotenuse of the prism. If the refractive index of the prism is sqrt(3) , find the maximum refractive index of the liquid so that light is totally reflected.

Knowledge Check

  • A ray of light is incident normally on one face of a right-angled isosceles prism and then it grazes the hypotenuse. The refractive index of the material of the prism is

    A
    1.33
    B
    1.414
    C
    1.5
    D
    1.732

  • A trihedral prism with refracting angle 60^(@) deviates a light ray by 30^(@) . The refractive index of the material of prism

    A
    may be equal to `sqrt(2)`
    B
    can not be greater than `sqrt(2)`
    C
    can not be less than `sqrt(2)`
    D
    none of these

  • A ray of light incident normally on an isosceles right angled prism travels as shown in the figure. The least value of the refractive index of the prism must be

    A
    `sqrt(2)`
    B
    `sqrt(3)`
    C
    `1.5`
    D
    `2.0`

    • Similar Questions

    Explore conceptually related problems

    A ray of light on passing through an equilateral glass prism, suffers a minimum deviation equal to the angle of the prism. The value of refractive index of the material of the prism is.......

    A ray of light incident on an equilateral triangular glass prism of mu = sqrt(3) moves parallel to the base of the prism inside it. What is the angle of incidence for this ray ?

    A ray of light is incident at an angle of 60^(@) on the face of a prism with an angle of 60^(@) . Then the refractive index of the material of the prism is (the prism is in minimum deviation position)

    A ray of light is incident at an angle of 60^(@) on one face of a prism of angle 30^(@) . They ray emerges normally from the other face of the prism. The refractive index of the prism material is

    A ray of light is incident at 60^(@) on one face of a prism of angle 30^(@) and the emergent ray makes 30^(@) with the incident ray. The refractive index of the prism is

    Home
    Profile