Telescope A has an aperture diameter of 1 m. Telescope B has an aperture diameter of 3 m. How much better is the resolution through Telescope B than through Telescope A? (4. Compare the Light Gathering Power of the two instruments in Question (3). (5. Galileo’s initial Refractor had a Magnification of 30X. If he viewed a distant object with a height of 2 cm, what would its apparent height be when viewed through the eyepiece?
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.
Theory
One significant telescope property is magnification (Mag). Magnification makes a small object appear larger. If Mag = 30X, the image is 30 times the size of the object.
Related to Magnification is Field of View (FOV). FOV measures the fraction of the sky that can be viewed by the instrument. Generally, the higher the Mag, the lower the FOV.
Light Gathering Power (LGP) is a measure of the light collection efficiency of the telescope. The higher the LGP, the brighter the image. LGP varies with the area (or diameter squared) of the aperture.
Resolution (Res) measures the ability of the telescope to bring out fine detail. Res varies with aperture diameter. Also, Res is better for higher frequency (blue) light than for lower frequency (red light).
Notice in Figure 9-1 for the Refractor that Objective focal length (fobj) and eyepiece focal length (feye) are labeled. The lens separation in this type of Refractor is feye + fobj. The magnification is fobj / feye.
Questions.
(3. Telescope A has an aperture diameter of 1 m. Telescope B has an aperture diameter of 3 m. How much better is the resolution through Telescope B than through Telescope A?
(4. Compare the Light Gathering Power of the two instruments in Question (3).
(5. Galileo’s initial Refractor had a Magnification of 30X. If he viewed a distant object with a height of 2 cm, what would its apparent height be when viewed through the eyepiece?
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