Question

Write the laws of refraction.(It should be Snell's law)​

Answer 1

Step-by-step explanation:

Snell's Law of refraction:

Refraction of light obeys the following its two laws which's snell's law.

• The incident ray, the normal at the point of incidence and the refracted ray, all lie in the same plane.
• For a given pair of media and given colour of light, the ratio of the sine of angle of incidence i to the sine of angle of refraction r is a constant i.e.

`\rm \cfrac{sin \: i}{sin \: r } = \mu`

This is known as the refractive index of the second medium with respect to the first medium. Mu is given as:

`\rm\mu = \cfrac{Speed \; of \; light \; in\; the\; first \; medium}{Speed \; of \; light \; in\; the\; second \; medium}`

Let's take an example.

If a ray light travels from air to water,then mu = sin i/sin r is the refractive index of water with air.

`\rm \cfrac{sin \: i}{sin \: r } = \mu`

Ex.1:Ray light from air to water

• sin i = 3*10^6 m/s^1
• sin r = 2.25*10^8 m s^-1

`\rm \mu \: = \cfrac{3 * {10}^(8) \: m \: s {}^(1) }{2.25 * 10 {}^(8) \: m \: s {}^( - 1) } = \cfrac{4}{3} = \boxed{ 1.33}`

Ex.2: Ray light from Air to glass:

• sin i = 3*10^8 m s ^-1
• sin r = 2*10^8 m s^-1

`\rm \mu \: = \cfrac{3 * {10}^(8) m \: s {}^( - 1) }{2 * {10}^(8 \: ) m \: s {}^( - 1) } = \cfrac{3}{2} = \boxed {1.5}`

`\rule{225pt}{2pt}`