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The refractive index of glass os 1.5. From a point P inside a glass block, draw rays PA, PB and PC incident on the glass air surface at an angle of incidence 30°, 42° and 60° respectively. - Physics

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Question

The refractive index of glass is 1.5. From a point P inside a glass block, draw rays PA, PB and PC incident on the glass air surface at an angle of incidence 30°, 42° and 60° respectively.

  1. In the diagram show the approximate direction of these rays as they emerge out of the block.
  2. What is the angle of refraction for the ray PB? 

`("Take" sin 42° =2/3)` 

Diagram
Numerical
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Solution

  1. A diagram with rays PA, PB and PC is shown below:
  2. Given, μ = 1.5
    As we know,
    `sin i_c = 1/mu`
    substituting the values in the formula, we get,
    `sin i_c = 1/1.5`
    sin ic = 0.667
    ic = 41.8
    Hence, we can round off ic = 42°
    Applying `sin r/sin i = ""_amu_g`
    sin r = `""_amu_g xx sin i`
    sin r = `""_amu_g xx sin 42°`
    Given, sin 42° = `2/3`
    and `""_amu_g = 3/2`
    substituting the value in the formula, we get,
    `sin r = 3/2 xx 2/3`
    sin r = 1
    As sin r = 1, the angle of refraction is 90°.
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Chapter 4: Refraction of Light at Plane Surfaces - EXERCISE - 4 (D) [Page 101]

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Selina Physics [English] Class 10 ICSE
Chapter 4 Refraction of Light at Plane Surfaces
EXERCISE - 4 (D) | Q 16. | Page 101

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