Answered: A camera lens has a diameter of 0.0520…

A camera lens has a diameter of 0.0520 m. How far apart must two grains of sand be at 125 m away to be resolved by the camera, using 550 nm light?

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter4: Diffraction

Section: Chapter Questions

Problem 63P: A spy satellite orbits Earth at a height of 180 km. What is the minimum diameter of the objective...

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Concept explainers

Ray Optics

Optics is the study of light in the field of physics. It refers to the study and properties of light. Optical phenomena can be classified into three categories: ray optics, wave optics, and quantum optics. Geometrical optics, also known as ray optics, is an optics model that explains light propagation using rays. In an optical device, a ray is a direction along which light energy is transmitted from one point to another. Geometric optics assumes that waves (rays) move in straight lines before they reach a surface. When a ray collides with a surface, it can bounce back (reflect) or bend (refract), but it continues in a straight line. The laws of reflection and refraction are the fundamental laws of geometrical optics. Light is an electromagnetic wave with a wavelength that falls within the visible spectrum.

Converging Lens

Converging lens, also known as a convex lens, is thinner at the upper and lower edges and thicker at the center. The edges are curved outwards. This lens can converge a beam of parallel rays of light that is coming from outside and focus it on a point on the other side of the lens.

Plano-Convex Lens

To understand the topic well we will first break down the name of the topic, ‘Plano Convex lens’ into three separate words and look at them individually.

Lateral Magnification

In very simple terms, the same object can be viewed in enlarged versions of itself, which we call magnification. To rephrase, magnification is the ability to enlarge the image of an object without physically altering its dimensions and structure. This process is mainly done to get an even more detailed view of the object by scaling up the image. A lot of daily life examples for this can be the use of magnifying glasses, projectors, and microscopes in laboratories. This plays a vital role in the fields of research and development and to some extent even our daily lives; our daily activity of magnifying images and texts on our mobile screen for a better look is nothing other than magnification.

Question

A camera lens has a diameter of
0.0520 m. How far apart must two
grains of sand be at 125 m away to
be resolved by the camera, using
550 nm light?
[?]m
Remember: nano means 10-9

Expert Solution

Step 1

Given:

Diameter of camera lens= 0.0520 m

Wavelength of light=550 nm $= 550 \times 10^{- 9} m$

Distance from camera =125 m

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