Question 1 – 10 points
This question is designed to assess your engagement with Interactive Quiz 5 covering Units 14, 15, 16 and 17.
(a) To demonstrate your commitment to Quiz 5, please include a computer screenshot showing the items you scored in your TMA response.
I got it from a quiz. It doesn’t matter how many points you get. We only care if you took the quiz. Remember
Also, quiz questions can be answered as many times as you like, and each question shows multiple variations.
Turn around each time you try. [2]
(b) Describe in a few sentences what you learned by answering the quiz questions that deepened your understanding of the behavior of light or the behavior of gases. You don’t have to write more than 100 words to answer this part. [Four]
(Even if you got a perfect score on your first test, I hope you learned something important by completing it. If you feel like it,
If this weren’t the case, the corresponding statement should be supported by the screenshot in part (a).
(c) (i) Identify the skills that need to be developed identified in the general feedback received at TMA 04 and describe what you are doing
I went to develop this.
(ii) identify another skill that needs to be developed, identified in the comments to the answer submitted in TMA 04, and explain what it is;
They did it to develop this. [Four]
You don’t have to write more than 100 words to answer this part. (If your tutor didn’t identify a skill you need to develop, you can:
Answers should be based on one or more of her skills that she has identified for development. )
Question 2 – 15 points
This question is designed to test your understanding of waves and wave propagation (Unit 14).
(a) in your own words:
(i) We use Huygens’ principle to explain how a plane parallel wavefront is diffracted at a single aperture.
(ii) Using the principle of superposition, we describe how coherent light emerging from two narrow slits interfere to produce a pattern on a distant screen. [9]
(b) The laser produces a monochromatic light beam with a wavelength of 633 nm and is perpendicularly incident on the slitted grating.
vertical.
(i) describe both the shape and color of the diffraction pattern displayed on the remote screen; (ii) How many lines per mm does the grating contain if the 5th order of the pattern occurs at an angle of 39.3 degrees to the incident ray? [6]
Question 3 – 15 points
This question is designed to test your understanding of lenses and optical systems (Unit 15). A converging lens with focal length f1 = +22.5 cm is placed at a distance d = 60.0 cm to the left of a diverging lens with focal length f2 = -30.0 cm. The object is placed on the common optical axis of the two lenses and its base is 45.0 cm to the left of the converging lens. (We can assume that the thin lens approximation holds.)
(a) Compute the position and overall magnification of the final image relative to the object. [6]
(b) Draw an accurate scale ray diagram showing the position of the object, the intermediate image, and the final image. Draw at least two key rays
Locate each image using each lens. [7]
(c) Is the final image real or virtual? Upright or vice versa? [2]
Question 4 – 15 points
This question is designed to test your understanding of phases of matter (Unit 16). Please explain briefly in your own words.
(a) What is meant by the radial density function of molecules in matter and how it differs between solids, liquids and gases [5]
(b) how molecules move in solids, liquids, and gases, and how cooling transforms one phase into another [5]
(c) How the van der Waals equation differs from the ideal gas equation of state, and what the additional terms in the former equation represent. [Five]
The description for each part should be less than about 150 words and possibly include a suitable figure. Points will be deducted if the answer is too long.
Question 5 – 20 points
It is designed to test your understanding of statistical mechanics (Unit 17).
(a)(i) In Boltzmann’s own words, we formulate his two principles of statistical mechanics. [2]
(ii) Explain the meaning of phase cells in the context of statistical mechanics and how such cells can be used in specifying classical gas configurations. [2]
(iii) State in your own words Boltzmann’s law of distribution for gases in equilibrium. [2]
(iv) A two-phase cell in gas at equilibrium is denoted by X and Y. The probability of finding a particular molecule in cell X relative to the probability of finding a molecule in cell Y is 125 and the temperature of the gas is 300 K. If the energy in cell X is 1.00 x 10−20 J, the energy in cell Y? [Four]
(b) A closed vessel of volume V = 0.10 m3 contains a sample of helium gas with N = 3.0 × 1024 atoms at equilibrium. The velocity distribution of helium atoms shows a peak at 1.1 × 103 m s−1.
(i) Calculate the temperature and pressure of helium gas. [7]
(ii) What is the average kinetic energy of a helium atom? [3]
(Assuming each helium atom has a mass of 4.0 amu.)
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