The speed of light in two media c₁ and c₂ are 1.5 10^8 ~m / s and 2 10^8 ~m / s respectively. If the light undergoes total internal reflection, the critical angle between the two media is

Step-by-step solution

The refractive index of the medium is defined as, _m= c c_m , i.e., c_m is the speed of light in medium and c is the speed of light in vaccum. Since, c₁ ₂ and medium 2 is the rarerer medium. According to snells law, _m _m= = constant At critical angle, the angle of incidence in denser medium is _ C critical and angle of refraction in rarerer medium is = 2 . Therefore, aligned & ₁ _ 1 C = ₂ ( 2 ) & _ 1 C = ( ₂ ₁ )= ( c₁ c₂ )= 1.5 10^8 ~m / s 2 10^8 ~m / s = 3 4 & _ 1 C = ⁻¹ ( 3 4 ) aligned