Q.

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.
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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.