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What is the height of the image of an apple (h = 12 cm) sitting 2 meters away that is projected onto your retina if the focal length of the retina is 20 millimeters?
  • a)
    0.40 cm
  • b)
    1.8 cm
  • c)
    0.12 cm
  • d)
    1.2 cm
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
What is the height of the image of an apple (h = 12 cm) sitting 2 mete...
The equation that should be used to solve this problem is:
The height of the image on the retina is -0.12 centimeters, which tells us also that the image is inverted.
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What is the height of the image of an apple (h = 12 cm) sitting 2 mete...
To solve this problem, we can use the formula for magnification:

magnification = -image distance / object distance

Given:
Object height (h) = 12 cm
Object distance (u) = 2 meters = 200 cm
Focal length (f) = 20 millimeters = 2 cm

We need to find the height of the image on the retina.

1. Calculate the magnification:
magnification = -image distance / object distance

Since the image is formed on the retina, the image distance is equal to the focal length of the retina.

magnification = -focal length / object distance
magnification = -2 cm / 200 cm
magnification = -0.01

This negative sign indicates that the image formed is inverted.

2. Calculate the height of the image:
image height = magnification * object height

image height = -0.01 * 12 cm
image height = -0.12 cm

Since the image is inverted, the height is negative. However, we can take the absolute value to find the magnitude of the height.

image height = |-0.12 cm|
image height = 0.12 cm

Hence, the height of the image of the apple projected onto the retina is 0.12 cm. Therefore, the correct answer is option (c) 0.12 cm.
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