A small object is placed 150mm away from a diverging lens of focal length 100mm:
  1. Copy the figure below and draw rays to show how an image is formed by the lens.
  1. Calculate the distance of the image from the lens by using the lens formula.
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u = -150mm f = -100mm$\frac{1}{\text{v}}-\frac{1}{\text{u}}=\frac{1}{\text{f}}$
$\frac{1}{\text{v}}-\frac{1}{-150}=\frac{1}{-100}$
$\frac{1}{\text{v}}=-\frac{1}{100}-\frac{1}{150}$
$\frac{1}{\text{v}}=\frac{-5}{300}$
$\text{v}=60\text{mm}$
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