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Question

A convex lens forms an image at the distance 40 cm on other side of the lens when an object which is placed at 40 cm away from it . The object is then moved 10 cm towards the lens then, where will be the image shift?

A
20 cm towards the lens.
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B
10 cm away from lens.
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C
10 cm towards the lens.
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D
20 cm away from lens.
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Solution

The correct option is D 20 cm away from lens.
Initially,
Object distance from the lens, u=40 cm
Image distance from the lens, v=40 cm

Image distance is equal to the object distance. This happens when object is at 2f distance from the lens.
2f=40
f=20 cm

When the object is moved 10 cm towards the lens, new object distance is:
u=(4010) cm
u=30 cm

Applying lens formula, the new image distance v is
120=1v1(30)
v=60 cm

Shift in image is:
Δv=vv
Δv=6040=20 cm
Thus, the image shift is 20 cm away from the convex lens.

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