This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Answer
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Step 1: Determine the slope (m). The calculation for the slope is provided in the image. The slope is .
Step 2: Calculate . Using the given formula : The value of is .
Step 3: Physical significance of . represents the refractive index of the medium. It is a dimensionless quantity that indicates how much the speed of light is reduced when passing through the medium compared to its speed in a vacuum. A higher refractive index means light travels slower and bends more when entering the medium.
Step 4: Precautions. • Ensure the pins are vertical to accurately mark the light path. • Use a clean glass block free from smudges or scratches to prevent light distortion. • Draw thin, sharp lines for the incident ray, refracted ray, and normal to minimize measurement errors. • Avoid parallax error when reading angles from the protractor by viewing directly perpendicular to the scale. • Ensure the normal line is drawn accurately at the point of incidence, perpendicular to the surface.
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Determine the slope (m). The calculation for the slope is provided in the image.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.