Length of a compound microscope Calculator

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Physics	Microscopes and telescopes ↺
Microscopes and telescopes	Compound Microscopes ↺

✖Distance between two lenses is the length at which two lenses are placed.ⓘ Distance between two lenses [V₀]			+10% -10%
✖The least distance of the distinct vision (LDDV) is the closest someone with "normal" vision (20/20 vision) can comfortably look at something.ⓘ Least distance of the distinct vision [D]			+10% -10%
✖The focal length of an eyepiece is the distance from the principal plane of the eyepiece where parallel rays of light converge to a single point.ⓘ Focal length of an eyepiece [f_e]			+10% -10%

✖The length of the microscope is defined as the distance from the nosepiece opening, where the objective is mounted, to the top edge of the observation tubes where the eyepieces (oculars) are inserted.ⓘ Length of a compound microscope [L]

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Payal Priya

Birsa Institute of Technology (BIT), Sindri

Payal Priya has created this Calculator and 500+ more calculators!

Team Softusvista

Softusvista Office (Pune), India

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Length of a compound microscope Solution

STEP 0: Pre-Calculation Summary

Formula Used

length_of_microscope = Distance between two lenses+(Least distance of the distinct vision*Focal length of an eyepiece)/(Least distance of the distinct vision+Focal length of an eyepiece)
L = V₀+(D*f_e)/(D+f_e)
This formula uses 3 Variables

Variables Used

Distance between two lenses - Distance between two lenses is the length at which two lenses are placed. (Measured in Centimeter)
Least distance of the distinct vision - The least distance of the distinct vision (LDDV) is the closest someone with "normal" vision (20/20 vision) can comfortably look at something. (Measured in Centimeter)
Focal length of an eyepiece - The focal length of an eyepiece is the distance from the principal plane of the eyepiece where parallel rays of light converge to a single point. (Measured in Centimeter)

STEP 1: Convert Input(s) to Base Unit

Distance between two lenses: 5 Centimeter --> 0.05 Meter (Check conversion here)
Least distance of the distinct vision: 10 Centimeter --> 0.1 Meter (Check conversion here)
Focal length of an eyepiece: 2 Centimeter --> 0.02 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = V₀+(D*f_e)/(D+f_e) --> 0.05+(0.1*0.02)/(0.1+0.02)

Evaluating ... ...

L = 0.0666666666666667

STEP 3: Convert Result to Output's Unit

0.0666666666666667 Meter -->6.66666666666667 Centimeter (Check conversion here)

FINAL ANSWER

6.66666666666667 Centimeter <-- Length of the microscope

(Calculation completed in 00.018 seconds)

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< 4 Compound Microscopes Calculators

Length of a compound microscope

length_of_microscope = Distance between two lenses+(Least distance of the distinct vision*Focal length of an eyepiece)/(Least distance of the distinct vision+Focal length of an eyepiece) Go

Magnifying power of a compound microscope

magnifying_power = (1+Least distance of the distinct vision/Focal length of an eyepiece)*Distance between two lenses/Object distance Go

Magnifying power of a compound microscope at infinity

magnifying_power = (Distance between two lenses*Least distance of the distinct vision)/Object distance*Focal length of an eyepiece Go

Length of a Compound Microscope when the Image forms at Infinity

length_of_microscope = Distance between two lenses+Focal length of an eyepiece Go

Length of a compound microscope Formula

Explain working of a compound microscope.

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. The length of the compound microscope formula is L = V_o + Df_e / D + f_e.

What are the uses of a compound microscope ?

A compound microscope is used for viewing samples at high magnification (40 - 1000x), which is achieved by the combined effect of two sets of lenses: the ocular lens (in the eyepiece) and the objective lenses (close to the sample).

How to Calculate Length of a compound microscope?

Length of a compound microscope calculator uses length_of_microscope = Distance between two lenses+(Least distance of the distinct vision*Focal length of an eyepiece)/(Least distance of the distinct vision+Focal length of an eyepiece) to calculate the Length of the microscope, The length of a compound microscope is defined as the distance from the nosepiece opening, where the objective is mounted, to the top edge of the observation tubes where the eyepieces (oculars) are inserted. Length of the microscope and is denoted by L symbol.

How to calculate Length of a compound microscope using this online calculator? To use this online calculator for Length of a compound microscope, enter Distance between two lenses (V₀), Least distance of the distinct vision (D) and Focal length of an eyepiece (f_e) and hit the calculate button. Here is how the Length of a compound microscope calculation can be explained with given input values -> 6.666667 = 0.05+(0.1*0.02)/(0.1+0.02).

FAQ

What is Length of a compound microscope?

The length of a compound microscope is defined as the distance from the nosepiece opening, where the objective is mounted, to the top edge of the observation tubes where the eyepieces (oculars) are inserted and is represented as L = V₀+(D*f_e)/(D+f_e) or length_of_microscope = Distance between two lenses+(Least distance of the distinct vision*Focal length of an eyepiece)/(Least distance of the distinct vision+Focal length of an eyepiece). Distance between two lenses is the length at which two lenses are placed, The least distance of the distinct vision (LDDV) is the closest someone with "normal" vision (20/20 vision) can comfortably look at something and The focal length of an eyepiece is the distance from the principal plane of the eyepiece where parallel rays of light converge to a single point.

How to calculate Length of a compound microscope?

The length of a compound microscope is defined as the distance from the nosepiece opening, where the objective is mounted, to the top edge of the observation tubes where the eyepieces (oculars) are inserted is calculated using length_of_microscope = Distance between two lenses+(Least distance of the distinct vision*Focal length of an eyepiece)/(Least distance of the distinct vision+Focal length of an eyepiece). To calculate Length of a compound microscope, you need Distance between two lenses (V₀), Least distance of the distinct vision (D) and Focal length of an eyepiece (f_e). With our tool, you need to enter the respective value for Distance between two lenses, Least distance of the distinct vision and Focal length of an eyepiece 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 Length of the microscope?

In this formula, Length of the microscope uses Distance between two lenses, Least distance of the distinct vision and Focal length of an eyepiece. We can use 4 other way(s) to calculate the same, which is/are as follows -

magnifying_power = (1+Least distance of the distinct vision/Focal length of an eyepiece)*Distance between two lenses/Object distance
magnifying_power = (Distance between two lenses*Least distance of the distinct vision)/Object distance*Focal length of an eyepiece
length_of_microscope = Distance between two lenses+(Least distance of the distinct vision*Focal length of an eyepiece)/(Least distance of the distinct vision+Focal length of an eyepiece)
length_of_microscope = Distance between two lenses+Focal length of an eyepiece

Where is the Length of a compound microscope calculator used?

Among many, Length of a compound microscope calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}

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