Answer :
The image is located approximately 17.45 mm to the right of the lens.
An image refers to the visual representation of an object formed by the interaction of light with optical systems such as lenses or mirrors. When light rays interact with an object, they can be reflected, refracted, or diffracted, resulting in the formation of an image.
The image formed by a lens can be determined using the lens formula:
1/f = 1/v - 1/u
where:
- f is the focal length of the lens,
- v is the distance of the image from the lens, and
- u is the distance of the object from the lens.
In this case, the object is located 35.9 mm to the left of the lens. Since the object is to the left of the lens, the value of u would be negative (-35.9 mm). The focal length of the lens is given as 33.8 mm.
Plugging these values into the lens formula, we have:
1/33.8 = 1/v - 1/-35.9
To simplify the equation, we can find the common denominator and then solve for v:
[(1)(-35.9) - (1)(33.8)] / (33.8)(-35.9) = 1/v
Simplifying further, we get:
(-35.9 - 33.8) / (-35.9)(33.8) = 1/v
-69.7 / (-1216.42) = 1/v
0.057237 = 1/v
To find v, we can take the reciprocal of both sides of the equation:
v = 1 / 0.057237
v ≈ 17.45 mm
Therefore, the image is located approximately 17.45 mm to the right of the lens.
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