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Asked by Prashant DIGHE | 30 Jul, 2019, 07:56: AM
answered-by-expert Expert Answer
If we get real and magnifued image from convex lens, it will be inverted as shown in figure.
 
If v is lens-to-image distance and u is lens-to-object distance, then we have ,  v/u = 3
 
Lens eqn.  (1/v) - (1/u) = 1/f  becomes   [ 1/(3u) ] + 1/u  = 1/f   or    f = (3/4) |u|  ....................(1)
( By sign convention u is negative )
 
after shifting lens by 80 cm towards screen, we have lens-to-object distance is u+80 and lens-to-image distance is v-80
 
due to diminished image,  (v-80)/(u+80)  = 1/3   or    (3u-80)/(u+80) = 1/3   or u = 40 cm
 
Hence from eqn.(1),   f = (3/4)×40 = 30 cm
Answered by Thiyagarajan K | 30 Jul, 2019, 02:56: PM
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