Radius of curvature of second lens surface

In summary, a lens with a power of -5.0D and a convex surface with a radius of curvature of 15.0cm is made of material with a refractive index of 1.50. To find the radius of the other surface, we can use the equation P = 1/f and solve for the radius, which gives us a value of -0.10cm. However, the correct answer is given as -6.0cm, which may be due to a discrepancy in units used (meters vs. centimeters).
  • #1
desmond iking
284
2

Homework Statement



A lens of power of -5.0D has a surface which is convex of radius of curvature of 15.0cm. The lens is made of material of refractive index of 1.50.
What's the radius of the other surface of lens?


Homework Equations





The Attempt at a Solution


since power = 1/f
so i have (1/ (-1/5) )= ( (1.5-1)/ 1) x ( (1/15) + (1/r2) )
i found out my r2 = -0.10cm.
But the correct ans given is -6.0cm.
 
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  • #2
Here, lens of power = -5.0D. (1 Diopter = 1m-1)

And you have taken the P = 1/f, here f is in "meter", but you have taken R1 = 15 cm which is in "cm."

Don't you think this is weird.
 

FAQ: Radius of curvature of second lens surface

What does the radius of curvature of the second lens surface refer to?

The radius of curvature of the second lens surface refers to the measure of the curvature of the surface of a lens. It is the distance from the center of the lens to the center of its curvature.

How is the radius of curvature of the second lens surface calculated?

The radius of curvature of the second lens surface is calculated by measuring the distance between the center of the lens and the point of its maximum curvature. This can be done using specialized instruments or by using mathematical formulas.

What is the significance of the radius of curvature of the second lens surface?

The radius of curvature of the second lens surface is an important factor in determining the optical properties of a lens. It affects the focal length, image magnification, and distortion of the lens.

How does the radius of curvature of the second lens surface impact the image quality?

The radius of curvature of the second lens surface plays a crucial role in determining the quality of the image produced by a lens. It affects the sharpness, aberrations, and overall clarity of the image.

Can the radius of curvature of the second lens surface be changed?

Yes, the radius of curvature of the second lens surface can be changed by altering the shape or thickness of the lens. By adjusting the curvature, the optical properties of the lens can be modified to achieve specific effects in image formation.

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