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You are provided with a converging lens and holder, a screen, a ray box containing an ...

You are provided with a converging lens and holder, a screen, a ray box containing an illuminated object pin, and a meter rule.
i. Place the lens in its holder such that it is facing a distant object seen through a well-lit laboratory window. Move the screen to and fro until a sharp image of the distant object is formed on it. Measure the distance, f\(_{0}\), between the screen and the lens.
ii. Clamp the meter rule securely to the table. Place the illuminated object pin at the end R of the meter rule.
iii. Place the lens at a position P such that X = RP = 20cm.
iv. Move the screen to a position Q to receive a sharp image of the object. Measure the distance Y = PQ.
v. Evaluate Z = (X+Y)
vi. Repeat the procedure for five other values of x = 25cm. 3Ocm, 35cm, 40cm and 45cm. In each case, record X,Y and evaluate Z.
vii. Tabulate the results.
viii. Plot a graph with Z on the vertical axis and X on the horizontal axis. Draw a smooth curve through the points.
ix. Determine from your graph the minimum value of Z=Z\(_{0}\) and its corresponding distance
x. Evaluate W = ½ (\(\frac{Z_0}{4} + \frac{X_0}{2}\))
xi. State two precautions taken to ensure accurate results.
(b) i. Draw a ray diagram to show how a Convex lens forms an image of magnification less than one.
ii. Name two pairs of features in the human eye and a lens camera that performs similar functions.
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    Correct Answer: Option
    Explanation:
    F = 13.0cm
    Table of value
    S/N Xcm Ycm Z(x+y)cm
    123456 202530354045 603830262421 806360616461




    Let 1cm represent5 units on the vertical axis and 1cm represent 5 units on the horizontal axis.
    Minimum value of Z=Z\(_{0}\) from the graph = 60cm
    Corresponding distance of X\(_{0}\) = 30cm
    Evaluate W = ½ (\(\frac{Z_0}{4} + \frac{X_0}{2}\))
    = ½(\(\frac{60}{40} + \frac{30}{2}\)
    = ½(\(\frac{60 + 60}{4}\) = ½\(\frac{120}{4}\)
    = ½(30) = 15
    Precautions
    - Coaxial arrangement of optional instruments/ray box, len and screen on a straight line.
    - Avoided parallax error in reading metre rule.
    - Lens kept uptight
    - Repeated reading shown on table
    - Surface of lens cleaned
    - Noted/corrected/avoided zero error on metre rule.
    (b)i.

    ii. Features performing the same function
    Human eye Lens camera
    Retina Film/screen
    Eye lens Camera lens
    Iris Diaphragm
    Pupil Aperture

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