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=n2sin‌θ2 Where: n1= refractive index of the first medium =‌
5
4
n2= refractive index of the second medium (glass) =‌
3
2
θ1= angle of incidence =30∘ θ2= angle of refraction Now, substituting the known values into Snell's law: ‌
5
4
sin‌30∘=‌
3
2
sin‌θ2 We know that sin‌30∘=‌
1
2
, so we substitute this into the equation: ‌‌
5
4
⋅‌
1
2
=‌
3
2
sin‌θ2 ‌‌
5
8
=‌
3
2
sin‌θ2 To solve for sin‌θ2, we rearrange the equation: ‌sin‌θ2=‌
5
8
⋅‌
2
3
‌sin‌θ2=‌
10
24
‌sin‌θ2=‌
5
12
Therefore, the angle of refraction (in terms of sine inverse) is: θ2=sin‌−1(‌
5
12
) So, the correct answer is Option C: sin‌−1(‌