A ray of light falls on a transparent sphere with centre C as shown in

1.	A ray of light falls on a transparent sphere with centre C as shown in the figure. The ray emerges from the sphere parallel to the line AB. find the angle of refraction at A, if refractive index of the material of the sphere is \(√3\).
Answer» \(∵\frac{sin\,i}{sin\,r}=μ\) \(∴\frac{sin\,60^º}{sin\,r}=√3\) \(∴sin\,r=\frac{1}{2}\) r = 30º

A ray of light falls on a transparent sphere with centre C as shown in the figure. The ray emerges from the sphere parallel to the line AB. find the angle of refraction at A, if refractive index of the material of the sphere is \(√3\).

Answer»

\(∵\frac{sin\,i}{sin\,r}=μ\)

\(∴\frac{sin\,60^º}{sin\,r}=√3\)

\(∴sin\,r=\frac{1}{2}\)

r = 30º