Answer :
Using an eyepiece with a X₂₀ magnification, the specimen will appear 200 times bigger with the X₁₀ objective lens and 800 times bigger with the X₄₀ objective lens in a compound microscope.
The total magnification of a compound microscope is calculated by multiplying the magnification of the eyepiece by the magnification of the objective lens.
Given that the eyepiece magnification is X₂₀, you can calculate the total magnification as follows:
With the X₁₀ objective lens:
Total Magnification = Eyepiece Magnification (X₂₀) × Objective Lens Magnification (X₁₀) = X₂₀ × X₁₀ = X₂₀₀
So, the specimen will appear 200 times bigger when using the X₁₀ objective lens.
With the X₄₀ objective lens:
Total Magnification = Eyepiece Magnification (X₂₀) × Objective Lens Magnification (X₄₀) = X₂₀ × X₄₀ = X₈₀₀
With the X₄₀ objective lens, the specimen will appear 800 times bigger.
In summary, the specimen will appear X₂₀₀ bigger with the X₁₀ objective lens and X₈₀₀ bigger with the X₄₀ objective lens when using an eyepiece with a X₂₀ magnification.
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