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phys 369 09 hw1 revised

# phys 369 09 hw1 revised - Phys 369 Fall 2009 Homework#1...

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Phys. 369, Fall 2009 Homework #1 - revised Weds., Sept. 2, at start of class 100 points total 1. (5 points) Schroeder, Problem 1.3. 2. (8 points) The volume expansion coefficient of a substance is defined as the fractional change in volume per unit temperature; / VV T β Δ Δ , where V is the volume of the substance, and V Δ is the change in that volume for a temperature change T Δ . When the temperature of mercury changes by one degree Celsius, its volume increases by 1 part in 5500. Therefore is volume expansion coefficient is 14 1 (1/ 5500) K 1.81 10 K −− == × A certain mercury thermometer has a bulb that is approximately cylindrical, with an inner diameter of 3 mm and a length of 4 mm. This bulb is connected to a narrow cylindrical tube with an inner diameter d . When the temperature of the thermometer changes from 0 C ° to 100 C ° , the height of the mercury in the tube increases by 10 cm. What is the diameter d ? You may assume that the volume of the narrow cylindrical tube is negligible compare to the volume of the

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phys 369 09 hw1 revised - Phys 369 Fall 2009 Homework#1...

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