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What is the formula for finding the radius of curvature using spherometer? Is there any difference in the formula if the mirror is convex or concave?

What is the formula for finding the radius of curvature using spherometer? Is there any difference in the formula if the mirror is convex or concave? 

Grade:12

1 Answers

Saurabh Kumar
askIITians Faculty 2400 Points
9 years ago
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edge is fixed to the head of the screw. The disk moves up and down a fixed vertical scale. Both scales are used to measure the difference in height between the fixed legs and the adjustable leg. The vertical scale shows an approximate value of the height difference. Each of its scale divisions corresponds to one complete twist of the screw. The circular scale is marked in fractions of complete screw turns. It gives the additional fraction of a twist (between the vertical scale markings) accurately.

The height difference is directly related to the radius of curvature, which can be calculated from the height difference by a simple formula. A shallow curve gives a small difference in level, and a large radius of curvature. Obviously a shallow lens is a small part of a large sphere. A more sharply curved surface gives a bigger height difference and a smaller radius of curvature.

Before the spherometer is used, its zero reading must be checked for accuracy. A flat surface gives a zero height difference and the spherometer is supplied with a piece of flat plate glass on which the instrument can be checked. The vertical scale zero is not at either end of the scale, but somewhere near the middle of it. This is so that both positive and negative height differences, corresponding to convex and concave surfaces, can be measured with the spherometer.

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