Question

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

19o

60o

35o

70o

Answer 1

Answer on Question#41522 – 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 $19.5{}^{\circ}$.

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