Calculating Object Distance from Lens with Magnification and Focal Length

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In summary, object distance from lens is the distance between an object and the lens of the instrument used to view it. It affects image clarity by determining the size and depth of field of the image. The units used to measure it are typically millimeters, centimeters, meters, or kilometers. The shape of the lens can also affect object distance, with convex lenses magnifying objects at a greater distance than concave lenses. Object distance from lens can be changed by adjusting the position of the object or lens, or by using additional equipment.
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hardwork
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Homework Statement


An object is in front of a lens with a focal length of -15cm. An image ½ the side of the object is formed. How far is the object from the lens?

Homework Equations


m - magnification
q - distance from image
p - distance from object
f - focal length

m = -q/p
1/p + 1/q = 1/f

The Attempt at a Solution


m = -q/p so q = -(1/2)p

1/p + 1/q = 1/f
1/p + 1/(-1/2p) = 1/-15cm
-1/p = 1/-15cm
p = 15 cm
 
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  • #2
Your answer is correct.
 
  • #3
woohoo!
 

1. What is object distance from lens?

Object distance from lens refers to the distance between the object being observed and the lens of the instrument or device used to view it. It is an important factor in determining the quality and accuracy of the image produced.

2. How does object distance from lens affect image clarity?

The closer the object is to the lens, the larger it will appear in the image, but there will also be a smaller depth of field and potential distortion. As the object moves further away from the lens, the depth of field increases and the image becomes clearer and more focused.

3. What units are used to measure object distance from lens?

Object distance from lens is typically measured in millimeters (mm) or centimeters (cm) for smaller objects, and meters (m) or kilometers (km) for larger objects. In some cases, it may also be measured in feet (ft) or inches (in).

4. How does the shape of the lens affect object distance?

The shape of the lens can affect the distance at which an object can be viewed clearly. For example, a convex lens can magnify objects at a greater distance compared to a concave lens, which may only produce a clear image at a closer distance.

5. Can object distance from lens be changed?

Yes, object distance from lens can be changed by adjusting the position of the object or the lens itself. In some cases, the use of additional lenses or equipment, such as a microscope or telescope, can also alter the object distance from the lens.

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