Tru Physics

Author: Tru Physics

  • Chapter 11: Projectile Motion

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    11.1 Introduction to Projectile Motion Projectile motion is a fundamental concept in physics that deals with the motion of an object under the influence of gravity while experiencing no other forces once set in motion. This type of motion is very familiar to us all as we often observe it in everyday life. Shooting a…

  • Phosphorescence

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    Phosphorescence is a type of photoluminescence in which a substance emits light after being exposed to light energy (electromagnetic radiation). Unlike fluorescence, which is usually short-lived, phosphorescence can continue to emit light for a period of time after the initial exposure. The excited electrons tend to decay at a much slower rate. This can be…

  • Fluorescence

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    Fluorescence is a type of photoluminescence in which a substance absorbs light at a certain wavelength and then emits light at a longer wavelength, sometimes within the visible spectrum. This phenomenon is used in a wide range of applications, including biomedical imaging, chemical analysis, and materials science. One of the primary differentiating factors between fluorescence…

  • Photoluminescence

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    Photoluminescence refers to the emission of light from a material after it has been excited by an external (photon) source, such as a laser. This process involves the absorption of a photon by the material, followed by the emission of that photon as visible light. Photoluminescence can be used to study the optical and electronic…

  • Problem 2.14 (Schroeder’s Intro to Thermal Physics)

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    Problem 2.14 Write in the form , for some . Solution: Problem 2.14 Solution (Download)

  • Problem 2.13 (Schroeder’s Intro to Thermal Physics)

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    Problem 2.13 Fun with logarithms.(a) Simplify the expression . (That is, write it in a way that doesn’t involve logarithms.)(b) Assuming that , prove that . (Hint: Factor out the a from the argument of the logarithm, so that you can apply the approximation of part (d) of the previous problem.) Solution: Problem 2.13 Solution…

  • Problem 2.12 (Schroeder’s Intro to Thermal Physics)

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    Problem 2.12 The natural logarithm function, ln, is defined so that for any positive number x.(a) Sketch a graph of the natural logarithm function.(b) Prove the identities and .(c) Prove that (d) Derive the useful approximation ,which is valid when . Use a calculator to check the accuracy of this approximation for x = 0.1…

  • Problem 2.10 (Schroeder’s Intro to Thermal Physics)

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    Problem 2.10 Use a computer to produce a table and graph, like those in this section, for the case where one Einstein solid contains 200 oscillators, the other contains 100 oscillators, and there are 100 units of energy in total. What is the most probable macrostate, and what is its probability? What is the least…

  • Problem 2.3 (Schroeder’s Intro to Thermal Physics)

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    Problem 2.3 Suppose you flip 50 fair coins.(a) How many possible outcomes (microstates) are there?(b) How many ways are there of getting exactly 25 heads and 25 tails?(c) What is the probability of getting exactly 25 heads and 25 tails?(d) What is the probability of getting exactly 30 heads and 20 tails?(e) What is the…

  • Problem 2.1 (Schroeder’s Intro to Thermal Physics)

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    Problem 2.1 Suppose you flip four fair coins.(a) Make a list of all the possible outcomes, as in Table 2.1.(b) Make a list of all the diferent “macrostates” and their probabilities.(c) Compute the multiplicity of each macrostate using the combinatorial formula 2.6, and check that these results agree with what you got by brute force…