Focal Length of Concave Lens given Image and Object Distance Calculator

✖Object Distance is the distance between an object and the lens of an optical instrument, such as a camera or microscope, which affects the magnification and focus of the image.ⓘ Object Distance [u]			+10% -10%
✖Image Distance is the distance between the image sensor and the lens in an optical system, affecting the magnification and quality of the resulting image.ⓘ Image Distance [v]			+10% -10%

✖Focal Length of Concave Lens is the distance between the center of the lens and the focal point, which is the point where parallel rays of light converge after passing through the lens.ⓘ Focal Length of Concave Lens given Image and Object Distance [f_{concave lens}]

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Formula

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Focal Length of Concave Lens given Image and Object Distance

Formula

f concave lens = \frac{u \cdot v}{v + u}

Example

0.207692 m = \frac{0.90 m \cdot 0.27 m}{0.27 m + 0.90 m}

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Focal Length of Concave Lens given Image and Object Distance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Focal Length of Concave Lens = (Object Distance*Image Distance)/(Image Distance+Object Distance)
f_{concave lens} = (u*v)/(v+u)
This formula uses 3 Variables

Variables Used

Focal Length of Concave Lens - (Measured in Meter) - Focal Length of Concave Lens is the distance between the center of the lens and the focal point, which is the point where parallel rays of light converge after passing through the lens.
Object Distance - (Measured in Meter) - Object Distance is the distance between an object and the lens of an optical instrument, such as a camera or microscope, which affects the magnification and focus of the image.
Image Distance - (Measured in Meter) - Image Distance is the distance between the image sensor and the lens in an optical system, affecting the magnification and quality of the resulting image.

STEP 1: Convert Input(s) to Base Unit

Object Distance: 0.9 Meter --> 0.9 Meter No Conversion Required
Image Distance: 0.27 Meter --> 0.27 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f_{concave lens} = (u*v)/(v+u) --> (0.9*0.27)/(0.27+0.9)

Evaluating ... ...

f_{concave lens} = 0.207692307692308

STEP 3: Convert Result to Output's Unit

0.207692307692308 Meter --> No Conversion Required

FINAL ANSWER

0.207692307692308 ≈ 0.207692 Meter <-- Focal Length of Concave Lens

(Calculation completed in 00.004 seconds)

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Created by Anirudh Singh

National Institute of Technology (NIT), Jamshedpur

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< Lenses Calculators

Object Distance in Concave Lens

Go Object Distance of Concave Lens = (Image Distance*Focal Length of Concave Lens)/(Image Distance-Focal Length of Concave Lens)

Object Distance in Convex Lens

Go Object Distance of Convex Lens = (Image Distance*Focal Length of Convex Lens)/(Image Distance-(Focal Length of Convex Lens))

Magnification of Concave Lens

Go Magnification of Concave Lens = Image Distance/Object Distance

Power of Lens

Go Power of Lens = 1/Focal Length of Lens

Focal Length of Concave Lens given Image and Object Distance Formula

Focal Length of Concave Lens = (Object Distance*Image Distance)/(Image Distance+Object Distance)
f_{concave lens} = (u*v)/(v+u)

What is Optical Focus?

Optical Focus refers to the point where light rays converge after passing through a lens or reflecting off a mirror., this concept is central to optics and determines how images are formed.

How to Calculate Focal Length of Concave Lens given Image and Object Distance?

Focal Length of Concave Lens given Image and Object Distance calculator uses Focal Length of Concave Lens = (Object Distance*Image Distance)/(Image Distance+Object Distance) to calculate the Focal Length of Concave Lens, Focal Length of Concave Lens given Image and Object Distance formula is defined as a measure of the distance between the lens and the image it forms, calculated using the object distance and image distance, providing a fundamental property of a concave lens in optics. Focal Length of Concave Lens is denoted by f_{concave lens} symbol.

How to calculate Focal Length of Concave Lens given Image and Object Distance using this online calculator? To use this online calculator for Focal Length of Concave Lens given Image and Object Distance, enter Object Distance (u) & Image Distance (v) and hit the calculate button. Here is how the Focal Length of Concave Lens given Image and Object Distance calculation can be explained with given input values -> 0.207692 = (0.9*0.27)/(0.27+0.9).

FAQ

What is Focal Length of Concave Lens given Image and Object Distance?

Focal Length of Concave Lens given Image and Object Distance formula is defined as a measure of the distance between the lens and the image it forms, calculated using the object distance and image distance, providing a fundamental property of a concave lens in optics and is represented as f_{concave lens} = (u*v)/(v+u) or Focal Length of Concave Lens = (Object Distance*Image Distance)/(Image Distance+Object Distance). Object Distance is the distance between an object and the lens of an optical instrument, such as a camera or microscope, which affects the magnification and focus of the image & Image Distance is the distance between the image sensor and the lens in an optical system, affecting the magnification and quality of the resulting image.

How to calculate Focal Length of Concave Lens given Image and Object Distance?

Focal Length of Concave Lens given Image and Object Distance formula is defined as a measure of the distance between the lens and the image it forms, calculated using the object distance and image distance, providing a fundamental property of a concave lens in optics is calculated using Focal Length of Concave Lens = (Object Distance*Image Distance)/(Image Distance+Object Distance). To calculate Focal Length of Concave Lens given Image and Object Distance, you need Object Distance (u) & Image Distance (v). With our tool, you need to enter the respective value for Object Distance & Image Distance and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Focal Length of Concave Lens?

In this formula, Focal Length of Concave Lens uses Object Distance & Image Distance. We can use 1 other way(s) to calculate the same, which is/are as follows -

Focal Length of Concave Lens = Radius/(Refractive Index-1)

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