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final_review-1

# final_review-1 - Physics 7B Final Exam Review Spring 2010...

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Physics 7B: Final Exam Review Spring 2010 Brian Henning May 5, 2010 Problem I–some warm-up questions a) Discovering the positron Shown in the figure is the track showing the discovery of the positron (the positron is the anti- electron; it has the same mass but opposite charge to the electron). A uniform magnetic field is present and the positron crosses a piece of lead in the middle. The lead serves to slow down the positron. In what direction is the positron going through the lead plate (you must show proof of this)? What direction is the magnetic field? b) PV diagram Consider a cyclic process (represented by the circle on the PV diagram) with 0.4 mole of ideal gas. Calculate the amount of heat transferred to the gas between the minimum and maximum volumes. 1

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c) Compressibility Isothermal compressibility, κ T , is defined as the ratio of the change in volume for a given change in pressure to the total volume at constant temperature: κ T ≡ − 1 V ∂V ∂P (constant temperature) where the minus sign reflects that if at constant temperature we increase pressure and therefore decrease volume we get a positive compressibility. 1. Find the isothermal compressibility for an ideal gas 2. Find the isothermal compressibility for a hard core gas that obeys the equation of state P ( V bN ) = NkT where b > 0. Show that in the limit of infinite volume, the compressibility approaches that of an ideal gas. Why is this physically?
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final_review-1 - Physics 7B Final Exam Review Spring 2010...

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