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Q.

What is the position and nature of image formed by lens combination shown in figure? (where,  f1 and f2 are focal lengths)

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a

203cm  from point B at right, real

b

70 cm from point B at right, real

c

40 cm from point B at right, real

d

70 cm from point B at left, virtual

answer is B.

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Detailed Solution

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For lens A, object distance  u=20cm
Focal length,  f=+5cm
From lens formula, 1v1u=1f
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We have,  1v=15120
 1v=20520×5=15100
v=203cm 
For lens B, image of A is object for B
 u=2032=+143cm
 f=5cm
Now, from lens formula we have
 1v1u=1f      1v=15+314        1v=15145×14       v=70cm
Hence, image is on right of lens B and is real in nature. 

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