Question

An estimate of the refractive index of glass is 1.5. If the angle of incidence is
30o
the angle of refraction is

Answer 1

Answer on Question#40650 – Physics – Optics

An estimate of the refractive index of glass is 1.5. If the angle of incidence is $30{}^{\circ}$. The angle of refraction is

Solution:

$\mathrm{n}_{1} = 1$ – refractive index of air

$\mathrm{n}_{2} = 1.5$ – refractive index of glass

$\theta_{1} = 30{}^{\circ}$ – angle of incidence

$\theta_{2}$ – angle of reflection

Snell's law of refraction:

$$\mathrm{n}_{1} \cdot \sin \theta_{1} = \mathrm{n}_{2} \cdot \sin \theta_{2}$$ $$\sin \theta_{2} = \frac{\mathrm{n}_{1} \cdot \sin \theta_{1}}{\mathrm{n}_{2}} \Rightarrow \theta_{2} = \arcsin \left(\frac{\mathrm{n}_{1} \cdot \sin \theta_{1}}{\mathrm{n}_{2}}\right) = \arcsin \left(\frac{1 \cdot \sin 30{}^{\circ}}{1.5}\right) = 19.5{}^{\circ}$$

Answer: angle of reflection is equal to $19.5{}^{\circ}$