Two lab partners, Mary and Paul are both farsighted. Mary has a near point of 67.8 cm from her eyes and Paul has a near point of 130 cm from his eyes. Both students wear glasses that correct their vision to a normal near point of 25.0 cm from their eyes, and both wear glasses 1.80 cm from their eyes. In the process of wrapping up their lab work and leaving for their next class, they get their glasses exchanged (Mary leaves with Paul's glasses and Paul leaves with Mary's glasses). When they get to their next class, find the following. (a) Determine the closest object that Mary can see clearly (relative to her eyes) while wearing Paul's glasses. Try splitting the problem into two steps. First, find the refractive power of each pair of glasses and then the closest object that each student can clearly view while wearing the other student's glasses. Think carefully about whether a particular object or image distance should be relative to the glasses or relative to the eyes. Give careful thought to the appropriate algebraic sign (±) for all object and image distances. m (b) Determine the closest object that Paul can see clearly (relative to his eyes) while wearing Mary's glasses. m
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.
Two lab partners, Mary and Paul are both farsighted. Mary has a near point of 67.8 cm from her eyes and Paul has a near point of 130 cm from his eyes. Both students wear glasses that correct their vision to a normal near point of 25.0 cm from their eyes, and both wear glasses 1.80 cm from their eyes. In the process of wrapping up their lab work and leaving for their next class, they get their glasses exchanged (Mary leaves with Paul's glasses and Paul leaves with Mary's glasses). When they get to their next class, find the following.
Try splitting the problem into two steps. First, find the refractive power of each pair of glasses and then the closest object that each student can clearly view while wearing the other student's glasses. Think carefully about whether a particular object or image distance should be relative to the glasses or relative to the eyes. Give careful thought to the appropriate algebraic sign (±) for all object and image distances. m
(b) Determine the closest object that Paul can see clearly (relative to his eyes) while wearing Mary's glasses.
m
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