You are provided with an illuminated object, converging lens, screen, metre rule, and other necessary materials.

• Measure and record the size a\(_{o}\) of the illuminated object.
• Place the object O and the screen S on Opposite sides of the converging lens L.
• Set the distance between the object and the lens U = 30cm.
• Adjust the screen until a sharp image of the illuminated object is obtained on the screen.
•  Measure and record the size a of the image.
• Evaluate m = \(\frac{a}{a_{0}}\), and m\(^{-1}\)
• Repeat the procedure for four other values of U=35cm, 40cm, 45cm and 50cm respectively.
• Tabulate your readings.
• Plot a graph with m\(^{-1}\) on the vertical axis and U on the horizontal axis.
• Determine the slope, s, of the graph and intercept, C, on the vertical axis.
• Determine the value of U for which m\(^{-1}\)=0.
• State two precautions taken to obtain accurate results.

(b)i. Using your graph, determine the value of m for which U= 37cm.

ii. Sketch a diagram to illustrate how a converging lens may be used to produce a real diminished image of an object.