Q. 74.2( 45 Votes )

# A student measures the thickness of a human hair by looking at it through a microscope of magnification 100. He makes 20 observations and finds that the average width of the hair in the field of view of the microscope is 3.5 mm. What is the estimate of the thickness of hair?

Answer :

Here given details are

Magnification of Microscope = 100

Average field of view of microscope = 3.5 mm

Thickness of Hair = ------------- (1)

Substituting the above values in equation (1)

Thickness of hair =

= 0.035 mm

Estimate thickness of hair = 0.035 mm

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PREVIOUSWhich of the following is the most precise device for measuring length:(a). A Vernier callipers with 20 divisions on the sliding scale(b). A screw gauge of pitch 1 mm and 100 divisions on the circular scale(c). An optical instrument that can measure length to within a wavelength of light?NEXTAnswer the following:A. You are given a thread and a metre scale. How will you estimate the diameter of the thread?B. A screw gauge has a pitch of 1.0 mm and 200 divisions on the circular scale. Do you think it is possible to increase the accuracy of the screw gauge arbitrarily by increasing the number of divisions on the circular scale?C. The mean diameter of a thin brass rod is to be measured by Vernier callipers. Why is a set of 100 measurements of the diameter expected to yield a more reliable estimate than a set of 5 measurements only?

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