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The distance between an object and its real image in a convex lens is 40cm....

Physics
JAMB 2019

The distance between an object and its real image in a convex lens is 40cm. If the magnification of the image is 3, calculate the focal length of the lens

  • A. 6.5 cm
  • B. 7.5 cm
  • C. 8.5 cm
  • D. 4.5 cm
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Correct Answer: Option B
Explanation

u + v = 40

\(\frac{v}{u}\) = 3

v = 3u

u + 3u = 40

4u = 40

u = 10cm

v = 3u = 30cm

f = \(\frac{uv}{u + v} = \frac{10(30)}{10 + 30} = \frac{300}{40}\)

= 7.5 cm

There is an explanation video available below.


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Explanation Video

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