This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
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Hey tahellemadenko01, good to see you again. Here are the solutions to the questions: 7. a) i) A thermometric property is a physical property of a substance that changes measurably and predictably with temperature, allowing it to be used for temperature measurement. 7. a) ii) Step 1: Locate the ice point (0^ C) on the temperature axis (x-axis) in Figure 4. Step 2: Read the corresponding length (L) on the y-axis. At 0^ C, the length L is 10 mm. The value of the thermometric property at ice point is 10 mm. 7. a) iii) Step 1: Locate the length L = 30 mm on the y-axis in Figure 4. Step 2: Read the corresponding temperature () on the x-axis. At L = 30 mm, the temperature is 100^ C. The temperature is 100^ C. 7. b) i) Three methods by which heat can be transmitted are: Conduction Convection Radiation 7. b) ii) Diagram of setup: Place several rods of different materials (e.g., copper, iron, glass) of identical length and cross-sectional area side-by-side. Attach a small piece of wax or a thumbtack with wax to the far end of each rod. Procedure: Heat the other ends of all the rods simultaneously using a single heat source (e.g., a Bunsen burner flame applied to a common metal plate touching all rods, or by immersing the ends in a hot water bath). Observations: Observe the order in which the wax pieces melt and fall off the rods. The wax on the copper rod will melt first, followed by iron, and then glass. Conclusion: This shows that different materials conduct heat at different rates, with copper being a better conductor than iron, and iron better than glass. Precaution: Ensure all rods have the same dimensions and are heated equally at the starting end. 7. c) The statement means that 4,200 Joules of heat energy are required to raise the temperature of 1 kilogram of water by 1 Kelvin (or 1^ C). 8. a) i) Density is defined as the mass per unit volume of a substance. 8. a) ii) Two factors that affect the density of a solid are: Temperature Type of material (composition/atomic structure) 8. b) i) Hooke's Law states that the extension of a spring or elastic material is directly proportional to the applied force, provided the elastic limit is not exceeded. 8. b) ii) A graph of Force / N (y-axis) against Extension / cm (x-axis) would show: A straight line passing through the origin for the initial points (0,0), (1.5,20), (3.1,40), (4.3,60). The line might start to curve slightly for higher forces (e.g., 80 N and 100 N), indicating that the elastic limit might be approached or exceeded, or due to measurement variations. 8. b) iii) Step 1: To determine the slope, we select points from the linear region of the graph. Using the data points (0,0), (1.5,20), (3.1,40), and (4.3,60), we can calculate the slope of the best-fit line. Using linear regression for these points: Slope m = (n( xy) - ( x)( y))/(n( x^2) - ( x)^2) For x = [0, 1.5, 3.1, 4.3] and y = [0, 20, 40, 60]: x = 8.9 y = 120 x^2 = 0^2 + 1.5^2 + 3.1^2 + 4.3^2 = 0 + 2.25 + 9.61 + 18.49 = 30.35 $ xy = (