A ray of light travelling in air strikes the water surface at an Angle of 30 degree calculate the Angle of light refraction if refractive index of glass is 1.5

To calculate the angle of light refraction, we can use Snell's Law, which relates the angle of incidence and the angle of refraction to the refractive indices of the two mediums.

Let's denote the angle of incidence in air as θ₁ and the angle of refraction in glass as θ₂. The refractive index of air is approximately 1, and the refractive index of glass is given as 1.5.

Snell's Law states:

n₁ * sin(θ₁) = n₂ * sin(θ₂)

where n₁ is the refractive index of the initial medium (air) and n₂ is the refractive index of the final medium (glass).

Plugging in the given values, we have:

1 * sin(30°) = 1.5 * sin(θ₂)

sin(30°) = 1.5 * sin(θ₂)

Now, we can solve for θ₂:

sin(θ₂) = sin(30°) / 1.5

Using a scientific calculator or reference table, we can find the arcsin (inverse sine) of both sides of the equation:

θ₂ = arcsin(sin(30°) / 1.5)

Calculating this, we get:

θ₂ ≈ 19.47°

Therefore, the angle of light refraction in the glass is approximately 19.47 degrees.

take a look at Snell's Law