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Question:

Use the mirror equation to show that an object placed betweenfand2fof a concave mirror produces a real image beyond2f.Use the mirror equation to show that an object placed betweenfand2fof a concave mirror produces a real image beyond2f.fffff2f2f2f22ff2f2f2f22ff?

Solution:

From Mirror equation,1v+1u=1fFor concave mirror,f=−|f|,u=−|u|1v=1|u|−1;|f|(i)It is given that|f|<|u|<2|f|12|f|<1|u|<1|f| (ii)Substituting the values from the eq (i) in the eq(ii)−1;2|f|<1v<0Above equation shows thatvis negative. Hence,v<−2;|f|Hence, image is formed at same side of mirror as the object at a distance greater than 2f.Magnification is given by:m=−vu<0Hence, image formed is real.