A student wants to set her compound light microscope to a total magnification of 100x. The ocular lens is 10x.

To determine the required objective lens magnification for the microscope to achieve a total magnification of 100x, we can follow these steps:

1. ### Break Down the Problem

1. Identify known values:
   • Total magnification (TM) = 100x
   • Ocular lens magnification (OL) = 10x
2. Determine the required objective lens magnification (OM) using the total magnification formula.

2. ### Relevant Concepts

The formula for total magnification in a compound microscope is given by: $TM = OL \times OM$ where:

• $TM$ is the total magnification
• $OL$ is the magnification of the ocular lens
• $OM$ is the magnification of the objective lens

3. ### Analysis and Detail

1. Substitute the known values into the total magnification formula: $100x = 10x \times OM$
2. Solve for $OM$: $OM = \frac{100x}{10x} = 10$

4. ### Verify and Summarize

1. Check the calculations:
   • If the ocular lens magnification is 10x and the required total magnification is 100x, the objective lens must magnify the image 10 times.
2. Sum up the findings:
   • To achieve a total magnification of 100x with a 10x ocular lens, the required objective lens magnification is 10x.

Final Answer

The objective lens magnification required is 10x.