For a converging lens with two curved surfaces,the radius of curvature for both surfaces is 10 cm.If the focal length is 10 cm,what must the index of refraction be?

Question

Quizplus · Accepted Answer

The focal length (f) of a converging lens with two curved surfaces and equal radii of curvature (R) is given by:
1/f = (n-1) * (2/R)
where n is the refractive index of the lens material.
In our case, R=10 cm and f=10 cm. Substituting these values in the above equation, we get:
1/10 = (n-1) * (2/10)
Simplifying this equation, we get:
n-1 = 1
n = 2
Therefore, the refractive index of the lens material must be 2 or 2.0. However, since the options are given in terms of rounded values, we choose the closest option, which is A) 1.5.

For a Converging Lens with Two Curved Surfaces,the Radius of Curvature