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The relation between u, v and f for a convex lens is,
v-1 + u-1 = f-1
Using the proper sign convention, u is negative, u negative, v and f are positive. So we have,
Comparing with y = mx + c, graph between v-1 & u-1 is negative with slope –1 and intercept f-1 .The corresponding graph is as shown in figure.
Proceeding in the similar manner as discussed in case of a concave mirror the focal length of the lens can be calculated by measuring the coordinates of either of the points A, B and C.
u–v GraphThe u versus v graph is a hyperbola as shown in figure. By measuring the coordinates of point C whose coordinates are (2f, 2f) we can calculate the focal length of the lens.
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