Using the formula 1/f = 1/object distance + 1/image distance, in the

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In summary, the formula 1/f = 1/object distance + 1/image distance is a mathematical representation of the relationship between focal length, object distance, and image distance in an optical system. It is derived from the thin lens equation and can be used for any optical system as long as the measurements are taken from the same point and direction. The units of measurement for the variables can vary, but are typically in meters or centimeters. This formula is commonly used in the design and analysis of lenses, mirrors, and other optical components, as well as in practical applications such as camera lenses, telescopes, and microscopes.
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avocadogirl
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Using the formula 1/f = 1/object distance + 1/image distance,
in the instance where you have two plano-convex lenses glued together on their flat sides, what does it mean if your image distance from the first lens is negative? is the image in front of the second lens or behind the second lens?

This is not a homework problem!
 
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since we can consider the cemented doublet as a single lens, having d_i <0 means it is a virtual image (the doublet has negative power).
 

FAQ: Using the formula 1/f = 1/object distance + 1/image distance, in the

What is the formula 1/f = 1/object distance + 1/image distance?

The formula 1/f = 1/object distance + 1/image distance is a mathematical representation of the relationship between the focal length (f), object distance, and image distance in an optical system. It is commonly used in optics and lens design to determine the position and size of an image formed by an optical system.

How is this formula derived?

This formula is derived from the thin lens equation, which states that the product of the object distance (u) and image distance (v) is equal to the focal length (f) squared. By rearranging this equation, we can get the formula 1/f = 1/u + 1/v.

What are the units of measurement for the variables in this formula?

The units for the focal length (f), object distance, and image distance can vary depending on the system of measurement being used. However, they are typically measured in meters (m) or centimeters (cm) in the field of optics.

Can this formula be used for any optical system?

Yes, this formula can be applied to any optical system, as long as the object and image distances are measured from the same point and in the same direction. It is commonly used in the design and analysis of lenses, mirrors, and other optical components.

How is this formula used in practical applications?

This formula is used in various practical applications, such as in the design and optimization of camera lenses, telescopes, microscopes, and other optical instruments. It is also used in the calculation of magnification and image formation in these systems.

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