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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Here are the solutions to your questions: 1. Plot a graph of y against sin i To plot the graph, use the following data points where i is on the x-axis and y is on the y-axis: • Point 1: ( i, y) = (0.866, 0.60) • Point 2: ( i, y) = (0.766, 0.53) • Point 3: ( i, y) = (0.643, 0.50) • Point 4: ( i, y) = (0.500, 0.40) • Point 5: ( i, y) = (0.342, 0.30) 2. Find K=S Assuming 'S' refers to the slope of the graph of y against i, we can calculate K. We will use the first two data points as they show a consistent relationship. Step 1: Identify the coordinates of two points. Let ( i_1, y_1) = (0.866, 0.60) and ( i_2, y_2) = (0.766, 0.53). Step 2: Calculate the slope K. K = (y_2 - y_1)/( i_2 - i_1) K = (0.53 - 0.60)/(0.766 - 0.866) K = (-0.07)/(-0.100) K = 0.70 The value of K (the slope) is 0.70. 3. State two precautions taken to ensure accurate results Two precautions to ensure accurate results in an optics experiment are: • Ensure the optical components (e.g., prism, lens, pins) are clean and free from dust or smudges. • Use a sharp pencil to mark points on the paper to minimize errors in measurement and avoid parallax error when reading scales or angles. 4. Distinguish between reflection and refraction of light • Reflection is the phenomenon where light bounces off a surface and returns into the same medium. The angle of incidence equals the angle of reflection. • Refraction is the phenomenon where light passes from one medium to another, causing it to change direction due to a change in speed. This bending of light is governed by Snell's Law. 5. A ray of light incident at an angle of 30° to the normal is deviated through an angle of 10.53° in a rectangular prism. We will calculate the refractive index of the prism. Step 1: Identify the given values. Angle of incidence, i = 30^. Angle of deviation, D = 10.53^. Step 2: Calculate the angle of refraction r. When light enters a denser medium (like a prism from air), it bends towards the normal. The deviation is given by the difference between the angle of incidence and the angle of refraction: D = i - r 10.53^ = 30^ - r r = 30^ - 10.53^ r = 19.47^ Step 3: Apply Snell's Law to find the refractive index n. Snell's Law states n_1 i = n_2 r. Assuming light travels from air (n_1 = 1) into the prism (n_2 = n): 1 · 30^ = n 19.47^ n = ( 30^)/( 19.47^) n = (0.5)/(0.33333) n ≈ 1.500 The refractive index of the prism is approximately 1.500. Send me the next one 📸