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.
Answer
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(273 Votes)
Freddie
Professional · Tutor for 6 years
Answer
To solve the problem, let's follow the steps:## Step 1: Substitute the given values into the equation: ### **actual size =
**## Step 2: Perform the division operation:### **actual size =
= 0.02625 \mathrm{~mm}**## Step 3: Convert the result from millimeters to micrometers:### **actual size =
= 26.25 \mu \mathrm{m}**## Step 4: Round off the result to 2 significant figures:### **actual size = 26 \mu \mathrm{m}**So, the actual width of the specimen is
.
Explanation
## Step 1: 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.## Step 2: Next, we substitute the given values into the equation. The image size is given as
and the magnification is
. So, we substitute these values into the equation.## Step 3: After substituting the values, we perform the division operation to calculate the actual size of the specimen. ## Step 4: The result obtained from the division operation will be in millimeters (mm). But the question asks for the answer in micrometers (
). So, we need to convert the result from millimeters to micrometers. We know that 1 millimeter is equal to 1000 micrometers. ## Step 5: Finally, we round off the result to 2 significant figures as asked in the question.