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The distance between an object and its real ima... - JAMB Physics 2019 Question

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

correct option: b

 

Formula:

u + v = 40

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

v = 3u

u + 3u = 40

4u = 40

u = 10cm

v = 3u = 30cm

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

f = 7.5 cm

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