The thickness of a thread is measured by a student using a microscope of magnification 100. After making 30 observations, he finds the average width of the thread is 5.7 mm. What is the estimated thickness of the thread?
0.057 mm
The student measured the average width of the thread using a microscope with a magnification of 100. The average width observed was 5.7 mm.
Since the microscope magnifies the image by a factor of 100, the actual thickness of the thread is 1/100th of the observed width. Therefore, to find the actual thickness, we divide the observed width by the magnification factor:
Actual thickness = \(\frac{\text{Observed width}}{\text{Magnification}}\)
Actual thickness = \(\frac{5.7 \text{ mm}}{100}\)
Actual thickness = 0.057 mm
Therefore, the estimated thickness of the thread is 0.057 mm.
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