A student's microscope has an ocular lens with a 10x magnification. Calculate the total magnification, if the objective lens is set to 30x.

1. Break Down the Problem

To find the total magnification of a microscope, we need to consider both the ocular (eyepiece) magnification and the objective lens magnification. The total magnification (TM) can be calculated using the formula: $TM = \text{Ocular Magnification} \times \text{Objective Magnification}$

2. Relevant Concepts

• Ocular Magnification: Given as $10\times$.
• Objective Magnification: Given as $30\times$.

3. Analysis and Detail

Now, applying the magnification values into the formula: $TM = 10\times \times 30\times$

4. Verify and Summarize

Calculating this gives: $TM = 10 \times 30 = 300$ Therefore, the total magnification is verified.

Final Answer

The total magnification of the microscope is $300\times$.