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An object 40 cm high is 30cm from the pinhole c... - JAMB Physics 2022 Question

An object 40 cm high is 30cm from the pinhole camera. If the height of the image formed is 20 cm. What is the distance of the image from the pin height?

A

15 cm

B

70 cm

C

40 cm

D

50 cm

correct option: a

M → \(\frac{Hi}{Ho}\) = \(\frac{Di}{Do}\)

Where:
M = magnification
H = height of the image
Ho = height of the object
Do = distance from the object to the lens
Di = distance from the lens to the in-focus projected image

But Di = \(\frac{Hi * Do}{Ho}\) → \(\frac{20 * 30}{40}\)
Image distance(Di) = 15cm

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