水的热膨胀的特点演示的探讨

初中物理:“水的热膨胀的特点”的演示在我数年的教学中一直没有做过,这主要是因为:当堂演示太费时间又和讲课配合不好,如让学生等着看实验结果,则大部同学感到索然无味,如不等结果而先讲其他内容,则又打乱了课堂的系统性。加以有些学校根本没有水的最大密度演示器,因之过去讲这一节时,往往只用挂图一讲了事。但后来在物理通报上看到一些老师对这个演示采取了各种不同的方法,从而取得了较好的成绩。为了提高教学质量,我把通报上前后所介绍的几种方法都做了几遍,从不断变换着的操作中给了我新的启示,我又用了     

氧的超导性的发现

氧是生物体和生命过程中的一种重要化学元素,也是大气的重要组成部分．氧的化学式为Ｏ２．从较早的科学研究中已经知道［１］,氧具有很强的顺磁性,随着温度的降低,不但氧的顺磁性增强,而且在一定的低温度下会从气态氧转变为液态氧,在一定的低温和压力条件下,还会从...     

核物质的物态方程的研究

在相对论σ–ω模型的单圈图近似下,详细推导了核物质的能量密度和压强密度表达式,数值计算了核物质的结合能和压强随核密度的变化,并分别在热力学和流体力学的理论框架下,计算了核物质的压强密度,结果表明这两种方法得到的压强密度相同.     

水的热膨胀的演示

利用某些物质溶解时的吸热现象来代替冰——例如按每克分子溶于水时NaNO_3吸热5.03大卡,K_2SO_4吸热6.38大卡,NH_4Cl吸热3.88大卡,只要将其中任何一种溶质溶解于水时,都能使温度降至0℃以下。我们掌握这一点,采用了工业常用的寒剂NH_4NO_3和NaNO_3分别做了实验,实验结果都成功。(一)实验步骤: ①用100c.c.的烧瓶装满纯净的冷水(蒸馏水),将橡皮塞穿两孔,分别插入温度计及内径很小长约15厘米的玻璃管(我们利用内径较大     

光的干涉的教学

光的干涉是关系到光的本性。它是证明光具有波动性质的明显实例,它又是直接关系到光的衍射和偏振的讲授,所以它是物理光学的重要部分。它对于工业生产亦很重要。在工业技术上应用它的亦很多,例如用它来精确地检查滚珠轴承合不合规格,用它来检验量度仪器够不够标准。     

光的干涉的应用

在科学和技术領域中,人們不断地利用着光的干涉原理解决了許多复杂的实际問題。例如在技术中对于光学表面磨光的检驗,光学部件质量的精密检定,长度微小改变的精密測定(干涉膨胀仪),增透光薄膜的制作,干涉滤光片的制作,軸承滾珠的分类和检驗等等。此外,对于光譜譜线精細結构的研究,物貭折射率的精密测定等也都逐渐轉入利用光的干涉方法来进行。由于光的干涉的应用是如此之广,因而对光干涉应用的各个方面作一全盘介紹显然是很难作到的,故仅就几个重要应用方面作一初步介紹。一、利用光的干涉检定螺旋測微器(千分尺) 在測微器的待量度的平面之間夹入一已知其厚度     

铝的激发光谱的测量

用１２０ｋｅＶ的Ａｌ＋离子与１０μｇ／ｃｍ２的碳箔相互作用，研究ＡｌⅠ、ＡｌⅡ和ＡｌⅢ的激发光谱，其结果与其它实验进行了比较。     

稳定的驻极体的制备

本文以实验资料和新近理论为依据,论述了稳定的驻极体的制备。在常温下工作的驻极体最好用聚四氟乙烯(PTFE)或聚全氟乙丙烯(FEP)制作;而长期在高温环境中(80—90℃)工作的驻极体,最好用聚二氯对苯撑二甲基(PDCPX)制作。稳定的驻极体的制备,不管用什么方法,极化后的热处理对其稳定性是必要的。     

气体的压强跟体积的关系的演示

初中物理学上册第三章第35节大气压的一个实验是:水由喷嘴向压强较低的玻璃管中喷入(见原书图55)。这个实验如果没有抽气机,就很难做。我     

水的表面张力的演示

1.仪器装置取直径为0.5毫米的铜丝做成一个直径为8厘米的圆环,环的直径两端接两根铜丝,铜丝的另一端拧在一起插入软木塞里。再取一只底部尖一点的试管,并且准备一些沙粒和一只盛水缸。 2.操作首先在试管里放些沙粒,用带有     

Oscillatory modes of interaction of supersonic overexpanded jets with barriers

The self-oscillatory interaction of supersonic jets with barriers has mainly been studied for under-expanded jets. There are only a few experimental studies examining the case of overexpanded jets, with little computational work done in this direction. To fill this gap, we performed numerical simulations of overexpanded supersonic jets with barriers. The calculations were performed by the Godunov method on fine grids using parallel programming techniques. In the course of numerical simulations, the gasdynamic parameters of the jet and the geometric parameter of the barrier were varied. The barrier had the shape of a cylindrical cavity of depth l = (0 − 18)r _a , where r _a is the nozzle exit radius (the case l = 0 corresponds to a flat-end barrier). Based on the results of the numerical simulations, the conclusion on whether the self-oscillation process occurs was drawn and the dependence its characteristics (frequency and amplitude) on the governing gasdynamic and geometric parameters were obtained. Good agreement with experimental data on the fundamental tone frequency was demonstrated. A low-frequency oscillation mode was mostly realized. In this case, the jet experienced periodic suctions into and ejections from the cavity, counter the oncoming jet flow, with the formation of a structure consisting of three discontinuity surfaces (two shock waves and a separating surface contact).     

A bound on the number of bound states in the Schrödinger equation

A boundS _l is given for the number of bound statesn _i in thelth partial wave corresponding to a spherically symmetric potential in non-relativistic quantum mechanics. This bound is given by whereV _a(l, r) is the attractive part of the effective potentialV(r)+l(l+1)/r ². Extensive comparative study ofS _i and the Bargmann inequality is made.     

Propagation velocity of longitudinal and transverse acoustic waves and anharmonicity of lattice oscillations

A linear correlation between the Grüneisen parameter and ratio of the velocities of longitudinal (ν _l)and transverse (ν _t) acoustic waves in crystals is found. It is assumed that velocities ν _l and ν _t are severally harmonic parameters, while their ratio ν _l/ν _t is an anharmonic quantity and depends on the ratio between the shear and flexural rigidities of interatomic bonds.     

Significance of Diagnostic Parameters in [13C]Octanoic Acid Gastric Emptying Breath Tests*

Abstract

Two novel characteristic parameters, the latency time (t _lat) and the ascension time (t _asc), are proposed for evaluation of non-invasive [¹³C]octanoic acid breath tests for assessment of the gastric emptying of solids. In breath tests performed in control subjects (n = 30) and diabetic patients (n = 100), the usefulness of these parameters was compared to conventional parameters, i.e., gastric half emptying-time t _1/2,b ) and lag phase (t _lag,b ). The proposed parameters were only loosely correlated (controls, r = 0.199; diabetics, 0.616). A strong correlation was found between the conventional parameters (controls, r = 0.891; diabetics, r = 0.962). Based on the conventional method, 36 patients were suspicious of delayed gastric emptying including 24 patients which exhibited a simultaneous delay in both parameters. Using the new parameters, a total of 46 patients were suspicious of delayed gastric emptying with 15 and 20 having isolated delay in t _lat and t _asc, respectively. We conclude that the novel parameters may be more appropriate for examination of the different phases of gastric emptying and for evaluation of gastric emptying disturbances in diabetic patients than the parameters conventionally used for this purpose.     

On distribution over the cathode surface of the current due to positive ions in discharge with oscillating electrons

The mechanisms of processes determining distribution of positive ions on the cathode surface in a discharge with oscillating electrons are studied. At low pressures P≤5×10⁻⁵ torr over the entire range of anode length variation l _a=0.5–11 cm, the ion current distribution over the cathode radius J _i(r) features a single maximum in the center and drops steeply with distance from the axis. At pressures P=1–4×10⁻⁴ torr, the distribution J _i(r) for short anodes (l _a<6 cm) is similar to the previous one but, for long anodes (l _a=6–10 cm), new maxima at higher J _i values have been detected. A physical explanation for the obtained results is proposed.     

Diffusing wave spectroscopy of dense colloids: Liquid,crystal and glassy states

Using intensity autocorrelation of multiply scattered light, we show that the increase in interparticle interaction in dense, binary colloidal fluid mixtures of particle diameters 0.115μm and 0.089μm results in freezing into a crystalline phase at volume fractionφ of 0.1 and into a glassy state atφ=0.2. The functional form of the field autocorrelation functiong ⁽¹⁾(t) for the binary fluid phase is fitted to exp[−γ(6k ₀ ² D _eff t)^1/2] wherek ₀ is the magnitude of the incident light wavevector andγ is a parameter inversely proportional to the photon transport mean free pathl*. TheD _eff is thel* weighted average of the individual diffusion coefficients of the pure species. Thel* used in calculatingD _eff was computed using the Mie theory. In the solid (crystal or glass) phase, theg ⁽¹⁾(t) is fitted (only with a moderate success) to exp[−γ(6k ₀ ² W(t))^1/2] where the mean-squared displacementW(t) is evaluated for a harmonically bound overdamped Brownian oscillator. It is found that the fitted parameterγ for both the binary and monodisperse suspensions decreases significantly with the increase of interparticle interactions. This has been justified by showing that the calculated values ofl* in a monodisperse suspension using Mie theory increase very significantly with the interactions incorporated inl* via the static structure factor.     

Partial waves of a general off-shell two-body Coulomb-like T-matrix

On the basis of the Gell-Mann — Goldberger two-potential formalism we investigate the partial waves of an off-shell two-body T-matrix in the case of a general Coulomb-like potentialV=V _C +V _S . The regular kernelt _SC,l determining thel-th partial wave of the short-range partT _SC,l of the T-matrix is the solution of the equationt _SC,l =V _S,l +V _S,l G _C,l t _SC,l . The Lippmann-Schwinger operator of this equation formed by the short-range part of the potential and the pure Coulomb Green's operator is shown to be compact under very general assumptions on the potentialV _S admitting potentials vanishing in the coordinate representation liker ^–1– (>0) in the infinity. The special case of differentiable and analytic potentialsV _S,l (p,p) is considered in particular. The results are used to discuss in full generality the on-shell singularities of Coulomb-like T-matrices and wave functions and to investigate the singular integrals that occur in the Faddeev equations for Coulomb-like interactions.     

Mechanism for the influence of the geometric parameters on the electrical characteristics of Penning ion sources

A steady-state Penning ion source is studied experimentally. Depending on the geometric parameter l _a (the anode length to diameter ratio) and pressure, maxima are observed in the discharge current and in the ion beam current extracted from an aperture at the center of the cathode. It is shown that at pressures of the order of 10⁻⁴ Torr, two maxima appear in these currents: one, for short discharge gaps with l _a =1–1.5, corresponds to a diverging ion beam, and the other, for longer anodes with l _a =4–5, to a collimated ion beam. At pressures of the order of 10⁻⁵ Torr, only one maximum appears in these currents, for short anodes l _a =2–3 with a diverging ion beam. A physical explanation is proposed for these findings. Zh. Tekh. Fiz. 68, 29–32 (September 1998)     

Unitarization of a singular representation ofSO(p,q)

A geometric construction of a certain singular unitary representation ofSO _e(p,q), withp+q even is given. The representation is realized geometrically as the kernel of aSO _e(p,q)-invariant operator on a space of sections over a homogeneous space forSO _e(p,q). TheK-structure of these representations is elucidated and we demonstrate their unitarity by explicitly writing down anso(p,q) positive definite hermitian form. Finally, we demonstrate that the annihilator inU[g] of this representation is the Joseph ideal, which is the maximal primitive ideal associated with the minimal coadjoint orbit.     

Change in the shape of a symmetric light pulse passing through a quantum well

A theory for the response of a 2D two-level system to irradiation by a symmetric light pulse is developed. Under certain conditions, such an electron system approximates an ideal solitary quantum well in a zero field or a strong magnetic field H perpendicular to the plane of the well. One of the energy levels is the ground state of the system, while the other is a discrete excited state with energy ?ω₀, which may be an exciton level for H=0 or any level in a strong magnetic field. It is assumed that the effect of other energy levels and the interaction of light with the lattice can be ignored. General formulas are derived for the time dependence of the dimensionless “coefficients” of the reflection ?(t), absorption A(t), and transmission ?(t) for a symmetric light pulse. It is shown that the ?(t), A(t), and ?(t) time dependences have singular points of three types. At points t ₀ of the first type, A(t ₀)=T(t ₀)=0 and total reflection takes place. It is shown that for γ_r?γ, where γ_r and γ are the radiative and nonradiative reciprocal lifetimes, respectively, for the upper energy level of the two-level system, the amplitude and shape of the transmitted pulse can change significantly under the resonance ω_l=ω₀. In the case of a long pulse, when γ_l<γ_r, the pulse is reflected almost completely. (The quantity γ_l characterizes the duration of the exciting pulse.) In the case of an intermediate pulse duration γ_l?γ_r, the reflection, absorption, and transmission are comparable in value and the shape of the transmitted pulse differs considerably from the shape of the exciting pulse: the transmitted pulse has two peaks due to the existence of the point t ₀ of total reflection, at which the transmission is zero. If the carrier frequency ω_l of light differs from the resonance frequency ω₀, the oscillating ?(t), A(t), and ?(t) time dependences are observed at the frequency Δω=ωl?ω₀. Oscillations can be observed most conveniently for Δω?γ_l. The position of the singular points of total absorption, reflection, and transparency is studied for the case when ω_l differs from the resonance frequency.