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Noah asked in Science & MathematicsPhysics · 5 years ago

How can I perform data analysis for this refraction physics lab?

The setup of the experiment is as drawn in the picture (where the red circle is a rotating disk, the box is a laser and the straight line the laser beam and the semi circle in the middle of the rotating disk is a container with a liquid) and the goal is to find the angle of refraction (θ2) in the picture. Knowing θ1 and the distance d, how can we find θ2? (The blue dotted line is the normal to the surface of refraction).

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  • denis
    Lv 4
    5 years ago

    is "d" the distance between the blue line and the red line? I'll assume it is.

    Now, notice how θ1 is the sum of some unknown angle "x" and θ2 in the triangle with sides of 1 and d. Since we know θ1, angle x is simply θ1 - θ2. The trigonometric relation then follows:

    tan(θ1 - θ2) = d/1

    tan(θ1 - θ2) = d

    θ1 - θ2 = arctan(d)

    θ2 = θ1 - arctan(d)

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