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on one side of a converging lens of focal length 31.8 cm, you position an object of height 4.49 cm somewhere along the principal axis. the resultant image has a height of 13.02 cm. how far from the lens is the object located?

User Aaron Ray
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To determine the distance of the object from the lens, we can use the lens formula. Plugging in the given values, we find that the object is located approximately 42.61 cm from the lens.

Step-by-step explanation:

To find the distance of the object from the lens, we can use the lens formula:

1/f = 1/do + 1/di

Where f is the focal length of the lens, do is the object distance, and di is the image distance.

Plugging in the known values, f = 45.5 cm and di = -19.03 cm (negative because the image is on the opposite side of the lens), we can solve for do:

1/45.5 cm = 1/do + 1/-19.03 cm

Simplifying the equation and solving for do, we get:

do = 42.61 cm

So, the object is located approximately 42.61 cm from the lens.






The probable question can be: On one side of a converging lens of focal length 45.5 cm, you position an object of height 4.88 cm somewhere along the principal axis. The resultant image has a height of 19.03 cm. How far from the lens is the object located?

User Md Mahmudul Islam
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7.6k points