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
a) i) Step 1: Identify the given refractive indices. The refractive index of water (n_w) is 1.33. The refractive index of diamond (n_d) is 2.42. Step 2: Relate refractive index to the speed of light. The speed of light in a medium is inversely proportional to its refractive index (v = (c)/(n)). A lower refractive index means light travels faster in that medium. Step 3: Compare the refractive indices and determine where light moves faster. Since n_w = 1.33 is less than n_d = 2.42, light moves faster in water. ii) Step 1: State the formula for the refractive index of diamond with respect to water. The refractive index of medium 2 with respect to medium 1 is given by n_21 = (n_2)/(n_1). Here, n_diamond/water = n_diamondn_water. Step 2: Substitute the given values into the formula. n_diamond/water = (2.42)/(1.33) Step 3: Calculate the refractive index. n_diamond/water ≈ 1.8195 Rounding to two decimal places, we get 1.82. i) Light moves faster in water. ii) The refractive index of diamond with respect to water is 1.82 Send me the next one 📸