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WAEC Physics 2015 Theory — Question 18

Question 18 of 26 from the West African Examinations Council (WAEC) Physics 2015 Theory paper, with the correct answer and a full explanation.

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10(d). A diverging lens of focal length 18.0 m is used to view a shark that is 90.0 m away from the lens. If the image formed is 1.0 m long, calculate: (i) the image distance; (ii) the length of the shark.

Model answer

(i) Using 1/f = 1/v − 1/u with f = −18 m (diverging lens) and u = 90 m: 1/v = 1/f + 1/u = −1/18 + 1/90 = −5/90 + 1/90 = −4/90, so v = −22.5 m (the negative sign shows the image is virtual, formed 22.5 m from the lens on the same side as the object). (ii) Magnification m = v/u = 22.5/90 = 0.25. Since image length = m × object length, object length (length of shark) = image length / m = 1.0/0.25 = 4.0 m.

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