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Magnifying Power of Compound Microscope Calculator

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✖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%
✖Distance between Two Lens is the length at which two lenses are placed.ⓘ Distance between Two Lens [V₀]			+10% -10%
✖The Object Distance is the length between the object and lens.ⓘ Object Distance [U₀]			+10% -10%

✖Magnifying Power or the extent to which the object being viewed appears enlarged is related by the geometry of the optical system.ⓘ Magnifying Power of Compound Microscope [M]

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Formula

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Magnifying Power of Compound Microscope

Formula

M = (1 + \frac{D}{f e}) \cdot \frac{V 0}{U 0}

Example

2.9 = (1 + \frac{25 cm}{4 cm}) \cdot \frac{5 cm}{12.5 cm}

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Magnifying Power of Compound Microscope Solution

STEP 0: Pre-Calculation Summary

Formula Used

Magnifying Power = (1+Least Distance of Distinct Vision/Focal Length of Eyepiece)*Distance between Two Lens/Object Distance
M = (1+D/f_e)*V₀/U₀
This formula uses 5 Variables

Variables Used

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.
Distance between Two Lens - (Measured in Meter) - Distance between Two Lens is the length at which two lenses are placed.
Object Distance - (Measured in Meter) - The Object Distance is the length between the object and lens.

STEP 1: Convert Input(s) to Base Unit

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)
Distance between Two Lens: 5 Centimeter --> 0.05 Meter (Check conversion here)
Object Distance: 12.5 Centimeter --> 0.125 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M = (1+D/f_e)*V₀/U₀ --> (1+0.25/0.04)*0.05/0.125

Evaluating ... ...

M = 2.9

STEP 3: Convert Result to Output's Unit

2.9 --> No Conversion Required

FINAL ANSWER

2.9 <-- Magnifying Power

(Calculation completed in 00.004 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

Magnifying Power of Compound Microscope Formula

Magnifying Power = (1+Least Distance of Distinct Vision/Focal Length of Eyepiece)*Distance between Two Lens/Object Distance
M = (1+D/f_e)*V₀/U₀

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. Its magnification formula is M_∞ = V₀D / U₀f_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 Magnifying Power of Compound Microscope?

Magnifying Power of Compound Microscope calculator uses Magnifying Power = (1+Least Distance of Distinct Vision/Focal Length of Eyepiece)*Distance between Two Lens/Object Distance to calculate the Magnifying Power, The Magnifying Power of Compound Microscope when Image Forms at Least Distance of Distinct Vision is defined as the angle subtends at the eye by the image to the angle subtended by the object. Magnifying Power is denoted by M symbol.

How to calculate Magnifying Power of Compound Microscope using this online calculator? To use this online calculator for Magnifying Power of Compound Microscope, enter Least Distance of Distinct Vision (D), Focal Length of Eyepiece (f_e), Distance between Two Lens (V₀) & Object Distance (U₀) and hit the calculate button. Here is how the Magnifying Power of Compound Microscope calculation can be explained with given input values -> 2.9 = (1+0.25/0.04)*0.05/0.125.

FAQ

What is Magnifying Power of Compound Microscope?

The Magnifying Power of Compound Microscope when Image Forms at Least Distance of Distinct Vision is defined as the angle subtends at the eye by the image to the angle subtended by the object and is represented as M = (1+D/f_e)*V₀/U₀ or Magnifying Power = (1+Least Distance of Distinct Vision/Focal Length of Eyepiece)*Distance between Two Lens/Object Distance. 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, Distance between Two Lens is the length at which two lenses are placed & The Object Distance is the length between the object and lens.

How to calculate Magnifying Power of Compound Microscope?

The Magnifying Power of Compound Microscope when Image Forms at Least Distance of Distinct Vision is defined as the angle subtends at the eye by the image to the angle subtended by the object is calculated using Magnifying Power = (1+Least Distance of Distinct Vision/Focal Length of Eyepiece)*Distance between Two Lens/Object Distance. To calculate Magnifying Power of Compound Microscope, you need Least Distance of Distinct Vision (D), Focal Length of Eyepiece (f_e), Distance between Two Lens (V₀) & Object Distance (U₀). With our tool, you need to enter the respective value for Least Distance of Distinct Vision, Focal Length of Eyepiece, Distance between Two Lens & Object 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 Magnifying Power?

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

Magnifying Power = (Distance between Two Lens*Least Distance of Distinct Vision)/(Object Distance*Focal Length of Eyepiece)

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