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An object is placed 35 cm away from a convex mirror with a focal length...

Physics
JAMB 2023

An object is placed 35 cm away from a convex mirror with a focal length of magnitude 15 cm. What is the location of the image?

  • A. 26.25 cm behind the mirror
  • B. 10.5 cm behind the mirror
  • C. 26.25 cm in front of the mirror
  • D. 10.5 cm in front of the mirror
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Correct Answer: Option B
Explanation

f = 15cm (diverging mirror);  u = -35cm(because object is in front of the mirror) v=?

⇒\(\frac{1}{f}\) = \(\frac{1}{v}\) + \(\frac{1}{u}\)

⇒ \(\frac{1}{15}\) = \(\frac{1}{v}\) - \(\frac{1}{35}\)

⇒ \(\frac{1}{15}\) + \(\frac{1}{35}\) = \(\frac{1}{v}\)

⇒ \(\frac{105}{10}\) = \(\frac{1}{v}\)

 v = \(\frac{105}{10}\) = 10.5cm

∴The image is 10.5cm behind the mirror, since v is positive.


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