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The actual size of a specimen can be calculated using the equation: actual size=image size/ magnification. A specimen is viewed under a times 400 magnification. The magnified image is 10.5 mm wide. What is the actual width of the specimen? Give your answer in microns (jum) and to 2 significant figures.

Question

The actual size of a specimen can be calculated using the equation: actual size=image size/
magnification. A specimen is viewed under a times 400 magnification. The magnified image is 10.5 mm
wide. What is the actual width of the specimen? Give your answer in microns (jum) and to 2 significant
figures.

The actual size of a specimen can be calculated using the equation: actual size=image size/ magnification. A specimen is viewed under a times 400 magnification. The magnified image is 10.5 mm wide. What is the actual width of the specimen? Give your answer in microns (jum) and to 2 significant figures.

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FreddieProfessional · Tutor for 6 years

Answer

To solve the problem, let's follow the steps:<br /><br />## Step 1: <br />Substitute the given values into the equation: <br /><br />### **actual size = \( \frac{10.5 \mathrm{~mm}}{400} \)**<br /><br />## Step 2: <br />Perform the division operation:<br /><br />### **actual size = \( \frac{10.5}{400} \) = 0.02625 \mathrm{~mm}**<br /><br />## Step 3: <br />Convert the result from millimeters to micrometers:<br /><br />### **actual size = \( 0.02625 \mathrm{~mm} \times 1000 \) = 26.25 \mu \mathrm{m}**<br /><br />## Step 4: <br />Round off the result to 2 significant figures:<br /><br />### **actual size = 26 \mu \mathrm{m}**<br /><br />So, the actual width of the specimen is \( 26 \mu \mathrm{m} \).

Explain

## Step 1: <br />Firstly, we need to understand the problem and the given equation. The equation provided is: **actual size = image size / magnification**. This equation is used to calculate the actual size of a specimen when we know the size of the magnified image and the magnification factor.<br /><br />## Step 2: <br />Next, we substitute the given values into the equation. The image size is given as \(10.5 \mathrm{~mm}\) and the magnification is \(\times 400\). So, we substitute these values into the equation.<br /><br />## Step 3: <br />After substituting the values, we perform the division operation to calculate the actual size of the specimen. <br /><br />## Step 4: <br />The result obtained from the division operation will be in millimeters (mm). But the question asks for the answer in micrometers (\( \mu \mathrm{m} \)). So, we need to convert the result from millimeters to micrometers. We know that 1 millimeter is equal to 1000 micrometers. <br /><br />## Step 5: <br />Finally, we round off the result to 2 significant figures as asked in the question.
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