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)
Fconcave 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 a measure of how strongly the lens diverges light.
Object Distance - (Measured in Meter) - Object Distance is the distance of the object from the mirror.
Image Distance - (Measured in Meter) - Image Distance is the distance of the image from the lens or the mirror.
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
Fconcave lens = (u*v)/(v-u) --> (0.9*0.27)/(0.27-0.9)
Evaluating ... ...
Fconcave lens = -0.385714285714286
STEP 3: Convert Result to Output's Unit
-0.385714285714286 Meter --> No Conversion Required
FINAL ANSWER
-0.385714285714286 -0.385714 Meter <-- Focal Length of Concave Lens
(Calculation completed in 00.019 seconds)

Credits

Created by Anirudh Singh
National Institute of Technology (NIT), Jamshedpur
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6 Focal Length of Lens Calculators

Lens Makers Equation
Go Focal Length 1 = (Lens Refractive Index/Medium Refractive Index-1)*(1/Radius of Curvature at Section 1-1/Radius of Curvature at Section 2)
Focal Length using Distance Formula
Go Focal Length of Lens = (Focal Length 1+Focal Length 2-Width of Lens)/(Focal Length 1*Focal Length 2)
Focal Length of Concave Lens given Image and Object Distance
Go Focal Length of Concave Lens = (Object Distance*Image Distance)/(Image Distance-Object Distance)
Focal Length of Convex Lens given Object and Image Distance
Go Focal Length of Convex Lens = (Object Distance*Image Distance)/(Object Distance-Image Distance)
Focal Length of Concave Lens given Radius
Go Focal Length of Concave Lens = -Radius/2
Focal Length of Convex Lens given Radius
Go Focal Length of Convex Lens = Radius/2

Focal Length of Concave Lens given Image and Object Distance Formula

Focal Length of Concave Lens = (Object Distance*Image Distance)/(Image Distance-Object Distance)
Fconcave lens = (u*v)/(v-u)

What is Optical Focus ?

n geometrical optics, a focus, also called an image point, is the point where light rays originating from a point on the object converge. ... A principal focus or focal point is a special focus: For a lens, or a spherical or parabolic mirror, it is a point onto which collimated light parallel to the axis is focused.

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 is the distance of the focus from the pole of the lens. It is denoted by f and the SI Unit of focal length is meter. Focal Length of Concave Lens is denoted by Fconcave 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 -> -0.385714 = (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 is the distance of the focus from the pole of the lens. It is denoted by f and the SI Unit of focal length is meter and is represented as Fconcave lens = (u*v)/(v-u) or Focal Length of Concave Lens = (Object Distance*Image Distance)/(Image Distance-Object Distance). Object Distance is the distance of the object from the mirror & Image Distance is the distance of the image from the lens or the mirror.
How to calculate Focal Length of Concave Lens given Image and Object Distance?
Focal length of Concave Lens given Image and Object Distance is the distance of the focus from the pole of the lens. It is denoted by f and the SI Unit of focal length is meter 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/2
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