To find the angle of refraction when light travels from one medium to another, we use Snell's law. Snell's law is given by:
n1sin‌θ1=n2sin‌θ2Where:
n1= refractive index of the first medium
=‌n2= refractive index of the second medium (glass)
=‌θ1= angle of incidence
=30∘θ2= angle of refraction
Now, substituting the known values into Snell's law:
‌sin‌30∘=‌sin‌θ2 We know that
sin‌30∘=‌, so we substitute this into the equation:
‌‌⋅‌=‌sin‌θ2‌‌=‌sin‌θ2 To solve for
sin‌θ2, we rearrange the equation:
‌sin‌θ2=‌⋅‌‌sin‌θ2=‌‌sin‌θ2=‌ Therefore, the angle of refraction (in terms of sine inverse) is:
θ2=sin‌−1(‌)So, the correct answer is Option C:
sin‌−1(‌)