Two thin lens made of glass μ=32 and water μ=43 kept in contact with each other. An object is placed at point O. Assume all curved surfaces have equal radius.Match the following Columns:(A) (B) (C) (D)
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a
A–pr B–qs C–qs D–qs
b
A–qs B–qs C–qs D–pr
c
A–qs B–qs C–pr D–qs
d
A–qs B–pr C–qs D–qs
answer is C.
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Detailed Solution
(A) Lens Makers Formula1fg=32−1110−1−10⇒fg=10 cm1fw=43−11-10−1∞⇒fw=-30 cmUsing concept of combination of lenses1fnet=1fg+1fw=110−130⇒fnet=15cmUsing lens formula1v-1-5=115 ⇒v=-7.5 cmImage is Virtual.(B) Lens Makers Formula1fg=32−115−1−5⇒fg=5 cm1fw=43−11-5−1+5⇒fw=-152 cmUsing concept of combination of lenses1fnet=1fg+1fw=15−215⇒fnet=15cmUsing lens formula1v-1-5=115 ⇒v=-7.5 cmImage is Virtual.(C) Lens Makers Formula1fg=32−1110−1−10⇒fg=10 cm1fw=43−11-10−1-10⇒fw=∞Using concept of combination of lenses1fnet=1fg+1fw=110+1∞⇒fnet=10cmUsing lens formula1v-1-50=110 ⇒v=+12.5 cmImage is Real.(D) Lens Makers Formula1fg=32−11-10−110⇒fg=-10 cm1fw=43−1110−1∞⇒fw=30 cmUsing concept of combination of lenses1fnet=1fg+1fw=-110+130⇒fnet=-15cmUsing lens formula1v-1u=1-15 ⇒1v=1u-115Since object is real, u will always be negative. Thus, v will also be negative.Image is Virtual.