Question

If angle of incidence for a light ray in air be 45 and angle of refraction in glass be 30 . Find refractive index of glass with respect to air ?

Answer 1

Hi friend,

Here is your answer,

refractive index = sin i / sin r
                          = sin45/sin30
                          = (1/root2)/(1/2)
                          = 2/(root2)
                           = root 2


HOPE THIS HELPED YOU !!
PLS MARK AS THE BRAINLIEST!!

Answer 2

Given:

• The angle of incidence for a light ray in air = 45°
• The angle of refraction = 30°

To Find:

• The refractive index of glass.

Solution:

We are using snell's law here,

μ = sin(i)/sin(r) → {equation 1}

Where "μ" is the refractive index, "sin (i)" is the angle of incidence, and "sin(r)" is the angle of refraction.

On substituting the values in equation 1 we get,

⇒ μ = sin(45°)/sin(30°)

⇒ μ = $\sqrt{2}/2$ / 1/2

In the next step, we are going to inverse the fraction to convert the operator division into multiplication and then cancel the like terms.

⇒ μ = $\sqrt{2}/2$ × (2/1)

⇒ μ = $\sqrt{2}/2$ × (2/1) = $\sqrt{2}$  {cancelling the like terms}

∴ The refractive index of glass = $\sqrt{2}$