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Q 68

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
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Short Answer

In recent years, physicists have learned to create metamaterials— engineered materials not found in nature—with negative indices of refraction. It’s not yet possible to form a lens from a material with a negative index of refraction, but researchers are optimistic. Suppose you had a planoconvex lens (flat on one side, a 15 cm radius of curvature on the other) that is made from a metamaterial with n = -1.25. If you place an object 12 cm from this lens,

(a) what type of image will be formed and

(b) where will the image be located?

a) s' is negative which means image is virtual.

b) Image is located at s' = 4.3 cm from the lens.

See the step by step solution

Step by Step Solution

Step 1. The given information is :

The radius of curvature of the curved surface of plano-convex lens is R2 = 15 cm

Refractive index of metamaterial, n = -1.25

Distance between object and the lens, s = 12 cm

We need to find out :

a) The type of image formed

b) Location of the image

Step 2. Appling lens maker equation

Step 3. Using thin lens equation

a) s' is negative which means image is virtual.

b) Image is located at s' = 4.3 cm from the lens.

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