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Q.

A point object 'O' is placed at a distance of 30 cm from a convex lens (f=20 cm) cut into two equal halves each of which is displaced by 0.05 cm as shown in figure.

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a

Distance between two images 0.3cm

b

The number of images formed are 2

c

The number of images are 4

d

The position of image is 60 cm

answer is A, B, C.

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Detailed Solution

Each piece of lens forms one image and they do not coincide. Therefore number of images = 2. In this type of cutting, focal length of each piece f = 20cm i.e. same as original lens. 

For L2: u=30cm, f=+20cm

1V1u=1f

1V130=120V=+60cm

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yimage yobject =Vuyi0.05=+6030yi=0.1cm

Hence L2 forms real image I2 at a distance of 60 cm from it on the other side, below its principal axis at 0.1 cm from the axis.
Similarly, L1 forms I1

Distance between I1 and I2 is 0.1+0.1+0.1=0.3cm

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