What is the radius of curvature of the mirror


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Q: Concave mirror is placed near one end of an optical bench. It is aimed to make an image offside from the light source projected onto a screen.

Initially the light source is placed 3 m from the mirror. The screen is moved until the image comes into focus on the screen.

What would be the approximate object distance p (distance from image to vertex of mirror)?

What would be the approximate image distance q (distance from screen to vertex of mirror)?

The light source is moved 3 cm closer to the mirror. The screen is moved accordingly.

(a)What would be the new values of p and q? Find p and q for 6 intervals of 3 cm (closer to mirror).

(b) Plot q vs. p

(c) Plot data again in a matter that yields a straight line. For a straight line, y = mx +b, therefore plot 1/q vs. 1/p. Determine focal length from intercepts with both x-axis and y-axis. What is it?

Hint: Relate 1/q = -1/p = 1/f

(d) What is the radius of curvature of the mirror?

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