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Q.

In the figure shown radius of curvature of either surface of equi-convex half  lens is 40 cm and refractive index 1.5. Its one side is silvered . A plane mirror is also placed. A small object O is placed such that there is no parallax between final image formed by lens and mirror. If transverse length of final image formed by silvered lens system is twice that formed by mirror. Choose the correct options. 

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a

Image formed by silvered lens system is virtual

b

a =2.5 am

c

b = 5cm 

d

Distance of image from object is 15 cm

answer is C, D.

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Detailed Solution

2(a+b)aa=2         a+2b=2a   2b=a 1f2=(1.51)(240)    f2=40 fm=20 1F=1fm2f2      f=10cm 1V+1u=1F                 a=5  12a+1a=110      b=2.5

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