This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
ScanSolve AI Answer
Step 1: Identify the given angles. The angle of incidence is i = 40^. The angle of refraction is r = 26^. Step 2: Apply Snell's Law. Snell's Law states that the ratio of the sines of the angles of incidence and refraction is equal to the ratio of the refractive indices of the two media. Assuming the light is entering the slab from air (refractive index n_1 ≈ 1), the refractive index of the slab material (n_2) can be found using the formula: n_1 i = n_2 r Since n_1 = 1 (for air), we have: 1 · i = n_2 r n_2 = ( i)/( r) Step 3: Substitute the values and calculate. n_2 = ( 40^)/( 26^) n_2 = (0.6427876)/(0.4383711) n_2 ≈ 1.4662 The refractive index of the slab material is approximately 1.47. The refractive index of the slab material is 1.47.