A Symmetric Double Convex Lens in Cut in Two Equal Parts by a Plane Perpendicular to the Principal Axis. If the Power of the Original Lens Was 4 D, the Power a Cut-lens Will Be - Science

MCQ

A symmetric double convex lens in cut in two equal parts by a plane perpendicular to the principal axis. If the power of the original lens was 4 D, the power a cut-lens will be

Options

2 D
3 D
4 D
5 D.

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Solution

2 D

The lens is cut into two equal parts by a plane perpendicular to the principal axis. Thus, the radius of curvature of both the lenses become half of its original value.
As,
\[f = \frac{R}{2}\]
\[P = \frac{1}{f}\]
Radius of curvature becomes half. Therefore, the focal also
reduces to half its original value.
Thus, the power (P) of the two cut-lenses will be equal.
2 P = 4 D
P = 2 D