What is the total magnification when using a 40x objective lens with a 10x eyepiece?
Understand the Problem
The question is asking for the total magnification achieved by multiplying the magnification of the objective lens (40x) by the magnification of the eyepiece (10x). The approach is to calculate the product of these two values.
Answer
The total magnification is $400x$.
Answer for screen readers
The total magnification is $400x$.
Steps to Solve
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Identify the magnification of the objective lens The objective lens magnification is given as $40x$.
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Identify the magnification of the eyepiece The eyepiece magnification is given as $10x$.
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Calculate the total magnification Total magnification can be found by multiplying the two magnifications:
$$ \text{Total Magnification} = \text{Objective Lens Magnification} \times \text{Eyepiece Magnification} $$
Plugging in the values:
$$ \text{Total Magnification} = 40 \times 10 $$
- Perform the multiplication Now, calculate the product:
$$ \text{Total Magnification} = 400 $$
The total magnification is $400x$.
More Information
In a microscope, total magnification is crucial for observing details in small specimens. The formula to find total magnification is simply the product of the objective and eyepiece magnification. Specifically, with the stated magnifications, 400x means the specimen appears 400 times larger than its actual size.
Tips
- Forgetting to multiply the magnifications correctly. It's essential to remember to multiply the two values together and not add them.
- Misreading the lens specifications. Always double-check the magnifications provided for both the objective lens and eyepiece.
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