Magnification of Objective Lens when Image Formed at Least Distance of Distinct Vision Solution

STEP 0: Pre-Calculation Summary
Formula Used
Magnification of Objective Lens = Magnifying Power/(1+Least Distance of Distinct Vision/Focal Length of Eyepiece)
Mo = M/(1+D/fe)
This formula uses 4 Variables
Variables Used
Magnification of Objective Lens - Magnification of Objective Lens is the Magnifying Power of objective lens upto which the object being enlarged by the objective lens.
Magnifying Power - Magnifying Power or the extent to which the object being viewed appears enlarged is related by the geometry of the optical system.
Least Distance of Distinct Vision - (Measured in Meter) - The Least Distance of Distinct Vision (LDDV) is the closest someone with "normal" vision (20/20 vision) can comfortably look at something.
Focal Length of Eyepiece - (Measured in Meter) - The Focal Length of Eyepiece is the distance from the principal plane of the eyepiece where parallel rays of light converge to a single point.
STEP 1: Convert Input(s) to Base Unit
Magnifying Power: 11 --> No Conversion Required
Least Distance of Distinct Vision: 25 Centimeter --> 0.25 Meter (Check conversion here)
Focal Length of Eyepiece: 4 Centimeter --> 0.04 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Mo = M/(1+D/fe) --> 11/(1+0.25/0.04)
Evaluating ... ...
Mo = 1.51724137931034
STEP 3: Convert Result to Output's Unit
1.51724137931034 --> No Conversion Required
FINAL ANSWER
1.51724137931034 1.517241 <-- Magnification of Objective Lens
(Calculation completed in 00.004 seconds)

Credits

Created by Ravi Khiyani
Shri Govindram Seksaria Institute of Technology and Science (SGSITS), Indore
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6 Compound Microscope Calculators

Length of Compound Microscope
Go Length of Microscope = Distance between Two Lens+(Least Distance of Distinct Vision*Focal Length of Eyepiece)/(Least Distance of Distinct Vision+Focal Length of Eyepiece)
Magnifying Power of Compound Microscope at Infinity
Go Magnifying Power = (Distance between Two Lens*Least Distance of Distinct Vision)/(Object Distance*Focal Length of Eyepiece)
Magnifying Power of Compound Microscope
Go Magnifying Power = (1+Least Distance of Distinct Vision/Focal Length of Eyepiece)*Distance between Two Lens/Object Distance
Magnification of Eyepiece when Image Formed at Least Distance of Distinct Vision
Go Magnification of Eyepiece = Magnifying Power*((Object Distance+Focal Length of Objective)/Focal Length of Objective)
Magnification of Objective Lens when Image Formed at Least Distance of Distinct Vision
Go Magnification of Objective Lens = Magnifying Power/(1+Least Distance of Distinct Vision/Focal Length of Eyepiece)
Length of Compound Microscope when Image Forms at Infinity
Go Length of Microscope = Distance between Two Lens+Focal Length of Eyepiece

Magnification of Objective Lens when Image Formed at Least Distance of Distinct Vision Formula

Magnification of Objective Lens = Magnifying Power/(1+Least Distance of Distinct Vision/Focal Length of Eyepiece)
Mo = M/(1+D/fe)

What is a Compound Microscope?

A compound microscope is a high power (high magnification) microscope that uses a compound lens system. A compound microscope has multiple lenses: the objective lens (typically 4x, 10x, 40x or 100x) is compounded (multiplied) by the eyepiece lens (typically 10x) to obtain a high magnification of 40x, 100x, 400x and 1000x. Higher magnification is achieved by using two lenses rather than just a single magnifying lens. While the eyepieces and the objective lenses create high magnification, a condenser beneath the stage focuses the light directly into the sample.

How to Calculate Magnification of Objective Lens when Image Formed at Least Distance of Distinct Vision?

Magnification of Objective Lens when Image Formed at Least Distance of Distinct Vision calculator uses Magnification of Objective Lens = Magnifying Power/(1+Least Distance of Distinct Vision/Focal Length of Eyepiece) to calculate the Magnification of Objective Lens, The Magnification of Objective Lens when Image Formed at Least Distance of Distinct Vision formula is the calculator used to calculate the magnification of the objective lens when the image is formed at the least distance of distant vision using the magnifying power of compound microscope and the focal length of the eyepiece. Magnification of Objective Lens is denoted by Mo symbol.

How to calculate Magnification of Objective Lens when Image Formed at Least Distance of Distinct Vision using this online calculator? To use this online calculator for Magnification of Objective Lens when Image Formed at Least Distance of Distinct Vision, enter Magnifying Power (M), Least Distance of Distinct Vision (D) & Focal Length of Eyepiece (fe) and hit the calculate button. Here is how the Magnification of Objective Lens when Image Formed at Least Distance of Distinct Vision calculation can be explained with given input values -> 1.517241 = 11/(1+0.25/0.04).

FAQ

What is Magnification of Objective Lens when Image Formed at Least Distance of Distinct Vision?
The Magnification of Objective Lens when Image Formed at Least Distance of Distinct Vision formula is the calculator used to calculate the magnification of the objective lens when the image is formed at the least distance of distant vision using the magnifying power of compound microscope and the focal length of the eyepiece and is represented as Mo = M/(1+D/fe) or Magnification of Objective Lens = Magnifying Power/(1+Least Distance of Distinct Vision/Focal Length of Eyepiece). Magnifying Power or the extent to which the object being viewed appears enlarged is related by the geometry of the optical system, The Least Distance of Distinct Vision (LDDV) is the closest someone with "normal" vision (20/20 vision) can comfortably look at something & The Focal Length of Eyepiece is the distance from the principal plane of the eyepiece where parallel rays of light converge to a single point.
How to calculate Magnification of Objective Lens when Image Formed at Least Distance of Distinct Vision?
The Magnification of Objective Lens when Image Formed at Least Distance of Distinct Vision formula is the calculator used to calculate the magnification of the objective lens when the image is formed at the least distance of distant vision using the magnifying power of compound microscope and the focal length of the eyepiece is calculated using Magnification of Objective Lens = Magnifying Power/(1+Least Distance of Distinct Vision/Focal Length of Eyepiece). To calculate Magnification of Objective Lens when Image Formed at Least Distance of Distinct Vision, you need Magnifying Power (M), Least Distance of Distinct Vision (D) & Focal Length of Eyepiece (fe). With our tool, you need to enter the respective value for Magnifying Power, Least Distance of Distinct Vision & Focal Length of Eyepiece and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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