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A ray of light passing through an equila...

A ray of light passing through an equilateral triangular glass prism from air undergoes minimum deviation when angle of incidence is `(3)/(4) th` of the angle of prism. Calculate speed of light in prism.

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To solve the problem, we will follow these steps: ### Step 1: Understand the Geometry of the Prism The prism is an equilateral triangle, which means all angles are equal to 60 degrees. The angle of the prism (A) is therefore: \[ A = 60^\circ \] ### Step 2: Determine the Angle of Incidence According to the problem, the angle of incidence (I) is \( \frac{3}{4} \) of the angle of the prism. Therefore, we calculate: ...
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A ray of light passing through an equilateral triangular glass prism from air undergoes minimum deviation when angle of incidence is 3//4 th of the angle of prism. Calculate the speed of light in the prism.

A ray of light passing through an equilateral triangular glass prism from air undergoes minimum deviation when angle of incidence is 3/4 th th of the angle of prism. Calculate the speed of light in the prism.

Knowledge Check

  • A ray of light passes through an equilateral glass prism in such a manner that the angle of incidence is equal to the angle of emergence and each of these is equal to (3)/(4) th of the angle of prism. The refractive index of the prism material is

    A
    `(3)/(2)`
    B
    `sqrt2`
    C
    `sqrt3`
    D
    `(sqrt3)/(2)`
  • A ray of light passes through an equilateral prism such that the angle of incidence is equal to the angle of emergence and latter is equal to (3//4)^(th) the angle of prism. The angle of deviation is

    A
    `45^(@)`
    B
    `39^(@)`
    C
    `20^(@)`
    D
    `30^(@)`
  • A ray of light passes through an equilateral glass prism in such a manner that the angle of incidence is equal to the angle of emergence and each of these angles is equal to 3/4 of the angle of the prism. The angle of deviation is

    A
    `45^(@)`
    B
    `39^(@)`
    C
    `20^(@)`
    D
    `30^(@)`
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    The angle of incidence for a ray of light passing through an equilateral glass prism is equal to its angle of emergence. Also, the angle of emergence is 3//4 times the angle of prism. Calculate the angle of deviation and refractive index of prism's material.

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    A ray of light passes through an equilateral glass prism in such a manner that the angle of incidence is equal to the angle of emergence and each of these angles is equal to 3/4 of the angle of the prism. The angle of deviation is