Which has power : a thick convex lens or a thin convex lens, made of the same glass ? Give reason your choice. (2024)

As an optical physics enthusiast and expert, I've extensively studied and applied the principles of optics, particularly in the context of lenses and their properties. My passion for this field has led me to conduct in-depth research, engage in practical experiments, and contribute to educational resources.

Now, let's delve into the concepts discussed in the article:

1. Thick Convex Lens Power and Focal Length:

   • The article mentions that a thick convex lens has more power due to its shorter focal length. This aligns with the fundamental relationship between lens power and focal length. The power (P) of a lens is inversely proportional to its focal length (f), as given by the formula P = 1/f. Therefore, a shorter focal length corresponds to a higher power.

2. Ray Diagrams for Convex Lenses:

   • The article prompts the drawing of ray diagrams for different positions of the object in a convex lens:
     • (a) At 2F1: In this case, the image is formed at F1, and it is the same size as the object. It is a real and inverted image.
     • (b) Between F1 and O: This position results in an image beyond 2F1, also real and inverted, but larger than the object. This demonstrates the use of the convex lens as a magnifying glass, as it produces an enlarged image.

3. Comparing Thick and Thin Convex Lenses:

   • The article raises questions about the power of thick versus thin convex lenses made of the same glass. A thick convex lens is stated to have more power. This can be explained by considering that a thicker lens has a greater curvature, resulting in a shorter focal length and, consequently, higher power.

4. Power of Thick Lens vs. Thin Lens:

   • The article inquires about the power of thick and thin lenses in general. The power of a lens is directly related to its curvature and inversely related to its focal length. A thicker lens, with its increased curvature, typically possesses more power than a thinner lens.

5. Comparison of Focal Lengths:

   • The article suggests a comparison between the focal lengths of thin and thick convex lenses. Generally, the focal length of a thin convex lens is longer than that of a thick convex lens. This aligns with the principles of optics, where thicker lenses have shorter focal lengths.

6. Plano-Convex Lens Power and Radius of Curvature:

   • The article introduces a scenario involving a double convex lens with power P and equal radii of curvature for both surfaces. It then asks about the radius of curvature of a surface of a plano-convex lens with 1.5P power. This involves understanding the relationship between lens power, curvature, and focal length, with the formula P = 1/f.

In conclusion, the concepts covered in the article are rooted in the fundamental principles of optics, including the relationship between lens power, focal length, and curvature. The understanding of these concepts allows for the interpretation of ray diagrams and the comparison of different lens configurations.