You are required to determine the numerical value of the density of steel by using the following apparatus; plastic measuring cylinder of 250 cm', six (6) steel slotted masses each of 50 g, water filled in the beaker. Proceed as follows: (a) Pour water into the measuring cylinder to the volume, Vo = 100 cm. (b) Insert thes lotted mass, m of 50 g in the cylinder and record the corresponding new volume readings. (c) Repeat the procedure l (b) by adding another mass (m) of 50 g until you get the total of six (6) readings. Read and record the volume readings in each case. (i) Record your results in tabular form as shown in the following Table. Initial volume vo= 100 cm. | Mass, m (g) | Volume Readings, v (cm) | V-Vo (cm') | m/(V-Vo) (g cm^-3) | |---|---|---|---| | 50 | | | | | 100 | | | | | 150 | | | | | 200 | | | | | 250 | | | | | 300 | | | | (ii) Plot the graph of m/(V-Vo) against m. (iii) Determine the slope of the graph plotted in I (ii). (iv) What does the slope in I (iii) represent? (v) Determine the density and relative density of the material used to make the slotted masses of steel. (25 marks)

1. Record your results in tabular form as shown in the following Table. Initial volume vo= 100 cm. | Mass, m (g) | Volume Readings, v (cm) | V-Vo (cm') | m/(V-Vo) (g cm^-3) | |---|---|---|---| | 50 | | | | | 100 | | | | | 150 | | | | | 200 | | | | | 250 | | | | | 300 | | | | (0 alama)
2. Plot the graph of m/(V-Vo) against m. (0 alama)
3. Determine the slope of the graph plotted in I (ii). (0 alama)
4. What does the slope in I (iii) represent? (0 alama)
5. Determine the density and relative density of the material used to make the slotted masses of steel. (25 alama)

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(a) Pin the clean white paper on the drawing board, and then draw two straight lines M1M3 and M1M4 such that the angle between the lines x° is 10° as shown in the following Figure. (b) Draw a line through J to represent the incident ray, and then erect two pins A and B on this line as shown in the given figure. Place the reflecting surface of the mirror along M1M2. (c) Erect pins C and D to appear in line with the images of A and B. Remove the pins C and D, and then mark their position with pencil. Draw the line JCD to represent the reflected ray. (d) Rotate the mirror such that it is along line M1M4. Erect pins E and F to appear in line with the images of A and B. Remove the pins E and F then draw the line JEF to represent the new position of the reflected ray. (e) Remove the mirror and pins A and B then measure the angle y° as shown in the figure. (f) Repeat the procedures in 2 (a) to (e) for values of x= 15°,25°, 35° and 40°. Record the corresponding values of angle y° in each case. Note: For each case, new plain white paper must be used and attached with the answer booklet(s) for submission. (i) Prepare a table for values of x° and y°. (ii) Plot a graph of y° against x°. (iii) Calculate the slope of the graph plotted in 2 (ii). (iv) How is x° related to y°? (v) What is the aim of doing this experiment?

1. Prepare a table for values of x° and y°. (1 alama)
2. Plot a graph of y° against x°. (1 alama)
3. Calculate the slope of the graph plotted in 2 (ii). (1 alama)
4. How is x° related to y°? (1 alama)
5. What is the aim of doing this experiment? (1 alama)

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