The figure shows different graphs in case of a thin convex lens for the formation of a real image, u and v are the object and image distances respectively. Find out the correct identification for the different combinations from the following.
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a
graph I, if x is v and y is u/v
b
graph II, if x is u and y is v
c
graph III, if x is v and y is u/v
d
graph IV, if x is 1/u and y is 1/v.
answer is D.
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Detailed Solution
when real image is formed by a convex lens then lens equation will be 1u+1v=1f ∴vu+1=vf∴1y+1=xf graph cannot be a straight line∴ Option (1) is not correct. Graph II has increase in u increase v which is not correct.Eq. vu+1=vf gives 1+y=xf∴ Linear graph (III) is not correct∴ 1u+1v=1f gives graph IV, Hence, option (4) is correct.