Concave Mirror Examples EXAMPLE 23–4 Image in a concave mirror. A 1.50-cm-high object is placed 20.0 cm from a concave mirror with radius of curvature 30.0 cm. Deter- mine (a) the position of the image, and (b) its size. APPROACH We determine the focal length from the radius of curvature (Eq. 23–1), f = r/2 = 15.0 cm. The ray diagram is basically the same as Fig. 23–16, since the object is between F and C. The position and size of the image are found from Eqs. 23–2 and 23–3. SOLUTION Referring to Fig. 23–16, we have CA = r = 30.0 cm, FA = f = 15.0 cm, and OA = d, = 20.0 cm. (a) We start with the mirror equation, Eq. 23–2, rearranging it (subtracting (1/d.) from both sides): 1 1 1 1 1 0.0167 cm-. d; f do 15.0 cm 20.0 cm So d; = 1/(0.0167 cm-1) = 60.0 cm. Because d; is positive, the image is 60.0 cm in front of the mirror, on the same side as the object. (b) From Eq. 23–3, the magnification is d; 60.0 cm m -3.00. do 20.0 cm | The image is 3.0 times larger than the object, and its height is h; = mh, = (-3.00)(1.5 cm) = -4.5 cm. The minus sign reminds us that the image is inverted, as shown in Fig. 23–16. NOTE When an object is further from a concave mirror than the focal point, we can see from Fig. 23–15 or 23–16 that the image is always inverted and real.
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.
In Example 23–4, show that if the object is moved 10.0 cm
farther from the concave mirror, the object’s image size
will equal the object’s actual size. Stated as a multiple of the
focal length, what is the object distance for this “actual-sized
image” situation?
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
