課程名稱︰普通物理學乙
課程性質︰必修
課程教師︰蔡爾成
開課系所︰
考試時間︰2006.06.21 15:30~17:30
試題 :
1.[10%] Show that β≒3α where α is the coefficient of linear expansion and
β is volume coefficient of expansion, by calculating the change in volume
ΔV of a cube with sides of length L.
2.[10%] What is the decrease in entropy of 25.0g of water that condenses on a
bathroom mirror at a temperature of 35.0℃, assuming no change in
temperature and given the latent heat of vaporization to be 2450 kJ/kg?
3.[10%]
(a) [5%] What increase in amplitude of a wave is needed to increase
intensity by a factor 100?
(b) [5%] The amplitude of a sound wave is measured in terms of its maximum
gauge pressure. By what factor does the amplitude of a sound wave
increase if the sound level goes up by 40.0 dB?
4.[10%] What is the energy stored in the 10.0μF capacitor of a heart
defibrillator charged to 10,000 volts?
5.[10%] A cerain circuit breaker trips when the rms current is 15.0 A. What is
the corresponding peak current? Explain.
6.[10%] After two time constants, what percentage of the final voltage is on
an initially uncharged capacitor C, charged through a resistance R? Note
that e = 2.7183, e^2 = 7.3891, e^(-1) = 0.3679, e^(-2) = 0.1353.
7.[10%] Circular water waves decrease in amplitude as they move away from
where a rock was dropped. Explain why?
8.[10%] A tuning fork of unknown frequency makes three beats per second with a
standard fork of frequency 384 Hz. The beat frequency decreases when a small
piece of wax is put on a prond of the first fork. What is the frequency of
this fork?
9.[10%] Two capacitors C_1 and C_2 are connected in series and are separated
by a large distance so that the electric field of one cannot affect the
other. What is the equivalent capacitance of the combination? Explain.
10.[10%] Assume a Carnot engine operates between two given temperatures, T_1
and T_2.
(a) [5%] Draw the PV-diagram for a Carnot cycle.
(b) [5%] What is the ratio |Q_1|/|Q_2|, where Q_1 is heat transferred at
T_1 and Q_2 is the heat transferred at T_2?
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