Here is a paraphrased version of the experimental report based on the provided documents: ​Experiment Report: Prism Refraction Analysis ​Objective The goal of this experiment is to study how light deviates when passing through a triangular glass prism and to utilize this data to calculate the refractive index of the prism material. ​Apparatus ​Triangular glass prism ​Drawing board ​Plain paper ​Optical pins ​Thumbtracks ​Measuring tools (ruler and protractor) ​Experimental Procedure ​Secure a sheet of paper to the drawing board using thumbtracks. ​Outline the triangular prism on the paper and mark the vertices as A, B, and C. ​Establish a normal line (NQN') perpendicular to the prism side AB. ​Mark an incident ray (UQ) at a 30^ angle relative to the normal and place two optical pins (P1, P2) along this path. ​Position the prism on its outline and view through side CD to place two additional pins (P3, P4) so that all four pins appear aligned. ​Mark the points, remove the prism, and connect the emergent ray to point E on the prism edge. ​Extend the incident and emergent rays until they cross to measure the angle of deviation (D). ​Repeat these steps for incident angles of 40^, 50^, 60^, and 70^. ​Data Summary The recorded angles and calculated trigonometric values are presented below:

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To determine the refractive index (nn) of the prism material from the experiment, the following method is used:

  1. Plot the angle of deviation (DD) against the angle of incidence (ii).

    The experiment provides DD values for i=30∘,40∘,50∘,60∘,i = 30^\circ, 40^\circ, 50^\circ, 60^\circ, and 70∘70^\circ. Plot these points and draw a smooth curve.

  2. Identify the minimum angle of deviation (DminD_{min}).

    Locate the lowest point on the plotted curve. The corresponding DD value is DminD_{min}.

  3. Calculate the refractive index using the prism formula.

    The refractive index nn is given by:

    n=sin⁡(A+Dmin2)sin⁡(A2)n = \frac{\sin\left(\frac{A+D_{min}}{2}\right)}{\sin\left(\frac{A}{2}\right)}

    Here, AA is the prism angle, typically 60∘60^\circ for a standard triangular prism, and DminD_{min} is from Step 2. The 'Data Summary' with specific measured angles is needed to perform the numerical calculation.

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