HW1-6130 - solution

HW1-6130 - solution - Homework I (due January 21, 2010) 1....

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Homework I (due January 21, 2010) 1. Between what two circle numbers on the Porton graticule will the image of a 1- m particle fall when viewed with a 43 objective and a 15 eyepiece? Circle number 10 has an image diameter of 9.9 mm. (10%) Sol>
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2. (a) A straight fiber has an aspect ratio of 5:1. If the fiber is viewed perpendicular to its axis, what is the maximum ratio of Feret’s diameter to projected area diameter? (b) For particles having a square projected cross section, what is the ratio of Feret’s diameter (averaged over all orientations) to the projected area diameter? (20%) Sol>
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3. A particle has a smooth, circular cross section of diameter d p . The fractal dimension of the particle's perimeter is to be estimated by fitting a four-sided and a six-sided regular inscribed polygon to the circle. Based only on this information, what fractal dimension is estimated for this step size range. [Hint: The length b of the side of a regular inscribed polygon with n sides is b = d p × sin(180 o /n).] (15%) Sol>
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4. Fumed silica produced by aerosol process is an agglomerate following a power
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HW1-6130 - solution - Homework I (due January 21, 2010) 1....

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