Problem 2. Relativity the 'pole in barn.' (This is a famous paradox and you might find all sorts of variants of online. Read this version carefully and don't get confused with alternate scenarios.) A runner carries a 5-meter-long pole (as measured when the pole is at rest) and runs at an impres- sively high speed of v = The barn doors are open at both ends, so the runner goes right through. c through a 4-meter-long barn (as measured when the barn is at rest). (a) According to the farmer at rest with respect to the barn, will the runner and pole 'fit' inside the barn? Calculate the length-contracted length of the pole to answer the question. (b) According to the runner, will the pole 'fit’ in the barn? Calculate the length-contracted length of the barn to answer the question. (c) Suppose the farmer attempts to close the pole inside the barn by closing both doors simul- taneously. Describe what the runner will observe (in terms of when the doors close, and in what order). (d) How long will the runner take to run the length of the barn, according to the farmer? How long will it take according to the runner? (Ignore the pole for this part.)
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.
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