Magnifying Power of Compound Microscope at Infinity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Magnifying Power = (Distance between Two Lens*Least Distance of Distinct Vision)/(Object Distance*Focal Length of Eyepiece)
M = (V0*D)/(U0*fe)
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.
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.
Object Distance - (Measured in Meter) - The Object Distance is the length between the object and lens.
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)
Object Distance: 12.5 Centimeter --> 0.125 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
M = (V0*D)/(U0*fe) --> (0.05*0.25)/(0.125*0.04)
Evaluating ... ...
M = 2.5
STEP 3: Convert Result to Output's Unit
2.5 --> No Conversion Required
FINAL ANSWER
2.5 <-- Magnifying Power
(Calculation completed in 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri
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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

Magnifying Power of Compound Microscope at Infinity Formula

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

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 / U0fe.

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 at Infinity?

Magnifying Power of Compound Microscope at Infinity calculator uses Magnifying Power = (Distance between Two Lens*Least Distance of Distinct Vision)/(Object Distance*Focal Length of Eyepiece) to calculate the Magnifying Power, The Magnifying Power of Compound Microscope at Infinity is defined as the angle subtending 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 at Infinity using this online calculator? To use this online calculator for Magnifying Power of Compound Microscope at Infinity, enter Distance between Two Lens (V0), Least Distance of Distinct Vision (D), Object Distance (U0) & Focal Length of Eyepiece (fe) and hit the calculate button. Here is how the Magnifying Power of Compound Microscope at Infinity calculation can be explained with given input values -> 2.5 = (0.05*0.25)/(0.125*0.04).

FAQ

What is Magnifying Power of Compound Microscope at Infinity?
The Magnifying Power of Compound Microscope at Infinity is defined as the angle subtending at the eye by the image to the angle subtended by the object and is represented as M = (V0*D)/(U0*fe) or Magnifying Power = (Distance between Two Lens*Least Distance of Distinct Vision)/(Object Distance*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 Object Distance is the length between the object and lens & 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 Magnifying Power of Compound Microscope at Infinity?
The Magnifying Power of Compound Microscope at Infinity is defined as the angle subtending at the eye by the image to the angle subtended by the object is calculated using Magnifying Power = (Distance between Two Lens*Least Distance of Distinct Vision)/(Object Distance*Focal Length of Eyepiece). To calculate Magnifying Power of Compound Microscope at Infinity, you need Distance between Two Lens (V0), Least Distance of Distinct Vision (D), Object Distance (U0) & Focal Length of Eyepiece (fe). With our tool, you need to enter the respective value for Distance between Two Lens, Least Distance of Distinct Vision, Object Distance & 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 Magnifying Power?
In this formula, Magnifying Power uses Distance between Two Lens, Least Distance of Distinct Vision, Object Distance & Focal Length of Eyepiece. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Magnifying Power = (1+Least Distance of Distinct Vision/Focal Length of Eyepiece)*Distance between Two Lens/Object Distance
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