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An extended object is placed at point O, 10 cm in front of a convex lens L1 and a...

An extended object is placed at point O10 cm in front of a convex lens L1 and a concave lens L2 is placed 10 cm behind it, as shown in the figure. The radii of curvature of all the curved surfaces in both the lenses are 20 cm. The refractive index of both the lenses is 1.5. The total magnification of this lens system is:

0.4
0.8
1.3
1.6
Solution:

For convex lens,

1f=μ2μ111R11R21f1=3211201-20

f1=+20 cm

Now, image distance from convex,

vconvex=uf1u+f1=10×2010+20

vconvex=20 cm

This location of image will be object location for concave lens.

Therefore, uconcave=30 cm

For concave lens,

1f2=321120120

f2=20 cm

Now, distance of image from concave,

vconcave=30×203020=-12 cm

Now, m=mconvex×mconcave

m=2010×1230=0.8