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2014 WAEC Physics Practical You are provided with an illuminated object, converging lens, screen, metre rule, and other necessary...

Physics
WAEC 2014

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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.

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Explanation

a = 1.5cm

u/cm \(\frac{a}{cm}\) M=\(\frac{a}{d}\) m\(^{-1}\)
30.0 2.2 1.467 0.682
35.0 1.5 1.000 1.000
40.0 1.2 0.800 1.250
45.0 0.9 0.600 1.667
50.0 0.7 0.467 2.141


Slope (s) = \(\frac{\bigtriangleup {m}^{-1}}{\bigtriangleup {y}}\) = \(\frac{2.4 - 0.4}{54 - 24} = \frac{2}{30}\) = 0.06

X\(_{1}\) = when m\(^{-1}\) = 0
u = 23cm

Precautions; i

- avoided error due to parallel when taking readings on the metre rule.
- made sure that, I took the height of the image when it is sharp.
- ensured that the intensity of the source of light was maintained.
- took repeated readings to avoid random errors.

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(b)i. When U iss 37cm
37 = 1.01m\(^{-1}\)

37 x \(\frac{1.01}{m}\)

m = \(\frac{1.01}{37}\) 

m = 0.03

ii. Object beyond 2F\(^{1}\)

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