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The diagram alongside shows the refraction of a ray of light from air to a liquid. Write the values of (i) angle of incidence, (ii) angle of refraction.

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Question

The diagram alongside shows the refraction of a ray of light from air to a liquid.

  1. Write the values of (i) angle of incidence, (ii) angle of refraction.
  2. Use Snell’s law to find the refractive index of liquid with respect to air.

Numerical
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Solution

(a) (i) Angle of incidence is the angle which the incident ray makes with normal.

∠i = 90° - 30° = 60°

(ii) The angle that the refracted beam creates with the normal is known as the angle of refraction.

∠r = 90° - 45° = 45°

(b) liquid's refractive index in relation to air.

μ Liquid = `sin i/sin r`

= `(sin 60°)/(sin 45°)`

= `(sqrt3/2)/(1/sqrt2)`

= `sqrt3/2 xx sqrt2`

= `(sqrt3 xx sqrt2)/(sqrt2 xx sqrt2)`

= `sqrt(3/2)`

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Chapter 4: Refraction of Light at Plane Surfaces - EXERCISE - 4 (A) [Page 81]

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Selina Physics [English] Class 10 ICSE
Chapter 4 Refraction of Light at Plane Surfaces
EXERCISE - 4 (A) | Q 22. | Page 81

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