A double convex lens of focal length 6 cm is made of glass of refractive index 1.5, The radius

step 1 Okay, in this question we are asked that a double convex lens of focal length 6 cm is made of gl

A double convex lens of focal length 6 cm is made of glass...

A double convex lens of focal length $6 \mathrm{~cm}$ is made of glass of refractive index $1.5$, The radius of curvature of one surface is double than that of the other surface. The value of small radius of curvature is
(A) 6
(B) 9
(C) 12
(D) $4.5$

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Radius of Curvature

The radius of curvature of a lens surface defines the degree of its curvature. It is important in the design and analysis of lenses because the curvature directly affects the way light rays are refracted. Different radii of curvature on either side of a lens enable customization of focusing properties and optical performance.

Refractive Index

The refractive index of a material measures how much it reduces the speed of light compared to a vacuum. It plays a crucial role in optical design since it affects the bending of light as it passes through the lens, thereby influencing the overall focusing properties as described by the lensmaker's formula.

Focal Length

Focal length is the distance from the lens at which parallel rays of light are brought to a focus. In lens design and optical applications, the focal length determines the convergence or divergence of light rays, influencing image formation, magnification, and the field of view.

Lensmaker's Formula

Lensmaker's Formula relates the focal length of a lens to the refractive index of its material and the radii of curvature of its two surfaces. It is a fundamental equation in geometric optics that provides insight into how the shape of a lens and the material properties combine to determine its focusing power.

Transcript

Please give Ace some feedback