HCF of two numbers

Length of Compound Microscope Calculator

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✖Distance between Two Lens is the length at which two lenses are placed.ⓘ Distance between Two Lens [V₀]			+10% -10%
✖The Least Distance of Distinct Vision (LDDV) is the closest someone with "normal" vision (20/20 vision) can comfortably look at something.ⓘ Least Distance of Distinct Vision [D]			+10% -10%
✖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.ⓘ Focal Length of Eyepiece [f_e]			+10% -10%

✖The Length of 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 Compound Microscope [L]

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Formula

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Length of Compound Microscope

Formula

L = V 0 + \frac{D \cdot f e}{D + f e}

Example

8.448276 cm = 5 cm + \frac{25 cm \cdot 4 cm}{25 cm + 4 cm}

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Length of Compound Microscope Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
L = V₀+(D*f_e)/(D+f_e)
This formula uses 4 Variables

Variables Used

Length of Microscope - (Measured in Meter) - The Length of 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.
Distance between Two Lens - (Measured in Meter) - Distance between Two Lens is the length at which two lenses are placed.
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

Distance between Two Lens: 5 Centimeter --> 0.05 Meter (Check conversion here)
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

L = V₀+(D*f_e)/(D+f_e) --> 0.05+(0.25*0.04)/(0.25+0.04)

Evaluating ... ...

L = 0.0844827586206897

STEP 3: Convert Result to Output's Unit

0.0844827586206897 Meter -->8.44827586206897 Centimeter (Check conversion here)

FINAL ANSWER

8.44827586206897 ≈ 8.448276 Centimeter <-- Length of Microscope

(Calculation completed in 00.020 seconds)

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< 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

Length of Compound Microscope when Image Forms at Infinity

Go Length of Microscope = Distance between Two Lens+Focal Length of Eyepiece

Length of Compound Microscope Formula

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)
L = V₀+(D*f_e)/(D+f_e)

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 Compound Microscope?

Length of Compound Microscope calculator uses 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) to calculate the Length of Microscope, The Length of 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 Microscope is denoted by L symbol.

How to calculate Length of Compound Microscope using this online calculator? To use this online calculator for Length of Compound Microscope, enter Distance between Two Lens (V₀), Least Distance of Distinct Vision (D) & Focal Length of Eyepiece (f_e) and hit the calculate button. Here is how the Length of Compound Microscope calculation can be explained with given input values -> 844.8276 = 0.05+(0.25*0.04)/(0.25+0.04).

FAQ

What is Length of Compound Microscope?

The Length of 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 Lens+(Least Distance of Distinct Vision*Focal Length of Eyepiece)/(Least Distance of Distinct Vision+Focal Length of Eyepiece). Distance between Two Lens is the length at which two lenses are placed, 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 Length of Compound Microscope?

The Length of 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 Lens+(Least Distance of Distinct Vision*Focal Length of Eyepiece)/(Least Distance of Distinct Vision+Focal Length of Eyepiece). To calculate Length of Compound Microscope, you need Distance between Two Lens (V₀), Least Distance of Distinct Vision (D) & Focal Length of Eyepiece (f_e). With our tool, you need to enter the respective value for Distance between Two Lens, 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.

How many ways are there to calculate Length of Microscope?

In this formula, Length of Microscope uses Distance between Two Lens, Least Distance of Distinct Vision & Focal Length of Eyepiece. We can use 1 other way(s) to calculate the same, which is/are as follows -

Length of Microscope = Distance between Two Lens+Focal Length of Eyepiece

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