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.
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You're on a roll — 13. The context for question 13, including the diagram or description of the setup related to lines XY and OC, is missing from the provided image. Therefore, it is not possible to answer parts (i), (ii), and (iii). 14. a) State the conditions to be satisfied for total internal reflection to occur. The conditions for total internal reflection to occur are: • Light must travel from a denser medium to a rarer medium. • The angle of incidence in the denser medium must be greater than the critical angle for the interface between the two media. b) A ray of light traveling in the direction EO in air enters a rectangular block as shown in the diagram. The resulting angle of refraction is 18°. Find: i) The refractive index of the block. Step 1: Determine the angle of incidence. The angle given in the diagram (50^) is between the incident ray EO and the surface of the block. The angle of incidence (_1) is measured from the normal to the surface. _1 = 90^ - 50^ = 40^ The angle of refraction (_2) is given as 18^. The refractive index of air (n_1) is approximately 1. Step 2: Apply Snell's Law, n_1 _1 = n_2 _2. Here, n_1 = 1 (for air), _1 = 40^, n_2 is the refractive index of the block, and _2 = 18^. 1 × (40^) = n_block × (18^) Step 3: Solve for the refractive index of the block (n_block). n_block = ((40^))/((18^)) n_block = (0.6428)/(0.3090) n_block ≈ 2.080 The refractive index of the block is 2.08. What's next?