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Question

A point object is placed on the principal axis of a convex lens (f = 15 cm) at a distance of 30 cm from it. A glass plate (μ = 1.50) of thickness 1 cm is placed on the other side of the lens perpendicular to the axis. Locate the image of the point object.

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Solution

Given,
Convex lens of focal length (f) = 15 cm
Object distance, (u) = −30 cm
Using lens formula,
1v-1u=1f 1v=1f+1u1v=115-130=130 v=30

Thus ,v = 30 cm
Therefore, the image of the object will be formed at a distance of 30 cm to the right side of the lens.
[since, μg = 1.5 and thickness (t) = 1 cm]

Δt=1-1μgt
=1-23=13=0.33 cm
Hence, the image of the object will be formed at 30 + 0.33 = 30.33 cm from the lens on the right side, due to the glass having thickness 1 cm.


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