※ [本文转录自 NTU-Exam 看板 #1IPgsVlD ] 作者: Standpoint (旋风企鹅) 看板: NTU-Exam 标题: [试题] 100上 王名儒 普通物理学甲上 期末考 时间: Wed Oct 23 00:53:48 2013 课程名称︰普通物理学甲上 课程性质︰必带 课程教师︰王名儒 开课学院：工学院 开课系所︰材料系 考试日期（年月日）︰100.1.9 考试时限（分钟）：120分钟 是否需发放奖励金：是 （如未明确表示，则不予发放） 试题 : 1. A huge tank on the ground is filled with water to a height H. At what depth h below the water surface, can a small hole eject water to the maximum distance on the ground ? 2. A thin uniform rod with mass m and length L is fixed at one end as the pivot point. Assuming the damping effect is negligible, what's the oscillation frequency limited in small angles for this thin rod pendulm ? Use g to denote the gravitational acceleration. 3. A 1600 kg car carrying four 80 kg people travels over a rough washboard dirt road with corrugations 4.0 m apart, which cause the car to bounce on its spring suspension. The car bounces with maximum amplitude when its speed is 16 km/h. The car now stops and the four people get out. By how much does the car body rise on its suspension owing to this decrease of mass ? 4. A wave, Acos(kx-ωt), is traveling along a string in the x axis with a linear density, μ. Find the average rate of energy transmission in terms of A, k, ω and μ for this wave. 5. A violin string with mass 0.50 g and length 20 cm is fixed at both ends and oscillates in its fundamental mode. Assuming the tension on the string is 400 N and the sound speed is 340 m/s. Find the wavelength of the emitted sound wave. 6. A submarine is moving at 50 km/h and sending out sonar signal at 1000 Hz with speed 5500 km/h. If there is a wall-like mountain in front of this submarine, what frequency will be detected ? 7. Design a constant-volume gas thermometer. You need to give the proper drawing, calibration procedure, and things to measure in order to get the temperature measurement of a heat bath. 8. At what frequency do molecules collide in oxygen gas at temperature 400 K and presure 2.0 atm ? Assume that the molecule diameter is 290 pm and that the gas is ideal. 9. One mole of an ideal monatomic gas, at an initial pressure of 5.0 kPa and initial temperature of 600 K, expands from its initial volume to final volume Vf=2.0 m^3 with final pressure of 2.0 kPa. What is the change in entropy of the gas during this expansion ? ( R = 8.31 J/mol.K ) 10. A square with total length 4 L is charged positively with a linear charge density λ. Find out the electric field along the vertical axis passing through the center of this square. ∫(x^2+a^2)^(-3/2)dx=x(x^2+a^2)^(-1/2)/a^2 --

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