JAMB Physics 1981 Question 32

Question 32

Lenses and Optical Instruments

When a lamp is placed on the axis and at various distances U from a converging lens, real images are formed at various distances V from the lens. Which of the graphs below will be obtained by plotting the values of quantity y (y = 1/V) against another quantity x (x = 1/U)?

Diagram for this question
  1. A.A
  2. B.B
  3. C.C
  4. D.D
  5. E.E
Show the answer and explanation

Answer: D (D)

Explanation

From 1/V = 1/f − 1/U, the graph of 1/V against 1/U is a straight line with slope −1 that cuts both axes at 1/f, which is graph D.