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Q.

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.
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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)