planck's law of radiation

简明释义

普朗克辐射定律

英英释义

例句

1.The study of planck's law of radiation is fundamental in developing new lighting technologies.

研究普朗克辐射定律是开发新照明技术的基础。

2.According to planck's law of radiation, the intensity of radiation emitted by a black body is dependent on its temperature.

根据普朗克辐射定律，黑体辐射的强度取决于其温度。

3.Engineers use planck's law of radiation to design efficient thermal imaging systems.

工程师使用普朗克辐射定律来设计高效的热成像系统。

4.The formula derived from planck's law of radiation is essential for calculating the spectral radiance of objects.

从普朗克辐射定律推导出的公式对于计算物体的光谱辐射强度至关重要。

5.In astrophysics, planck's law of radiation helps us understand the thermal emissions from stars.

在天体物理学中，普朗克辐射定律帮助我们理解恒星的热辐射。

作文

The universe is filled with a myriad of phenomena that challenge our understanding and spark our curiosity. Among these, the behavior of electromagnetic radiation stands out as a fundamental aspect of physics. One of the most significant contributions to our comprehension of this subject comes from Max Planck, whose groundbreaking work led to the formulation of what we now know as Planck's law of radiation. This law describes how the intensity of radiation emitted by a black body varies with wavelength at a given temperature, fundamentally altering the way we perceive thermal radiation.To grasp the essence of Planck's law of radiation, it is essential to understand what a black body is. A black body is an idealized physical object that absorbs all incoming radiation, regardless of frequency or angle of incidence. Such an object emits radiation in a characteristic spectrum that depends solely on its temperature. Planck's law mathematically expresses this relationship, illustrating that as the temperature of a black body increases, the peak wavelength of emitted radiation shifts to shorter wavelengths. This phenomenon is commonly referred to as Wien's displacement law, which is a direct consequence of Planck's law of radiation.Before Planck's work, the prevailing theory of radiation was based on classical physics, specifically Rayleigh-Jeans law. However, this classical approach predicted that the intensity of radiation would become infinite at shorter wavelengths, a contradiction known as the ultraviolet catastrophe. Planck resolved this issue by introducing the concept of quantization, proposing that energy is emitted or absorbed in discrete units called quanta. This revolutionary idea laid the foundation for quantum mechanics and changed the course of physics forever.The mathematical expression of Planck's law of radiation is given by the formula: I(λ, T) = (2hc^2 / λ^5) * (1 / (e^(hc/λkT) - 1))In this equation, I(λ, T) represents the intensity of radiation at a specific wavelength (λ) and temperature (T), while h is Planck's constant, c is the speed of light, and k is the Boltzmann constant. Each component of this equation plays a crucial role in accurately describing the distribution of electromagnetic radiation emitted by a black body.The implications of Planck's law of radiation extend far beyond theoretical physics; they have practical applications in various fields, including astronomy, climate science, and even modern technology. For instance, understanding how stars emit light allows astronomers to infer their temperatures and compositions. Similarly, in climate science, the principles of thermal radiation help model Earth's energy balance and predict climate change.In conclusion, Planck's law of radiation represents a pivotal moment in the history of physics, bridging classical and modern theories. It not only provides a clear framework for understanding the emission of radiation by black bodies but also introduces the revolutionary concept of quantization, which has far-reaching consequences in multiple scientific disciplines. As we continue to explore the mysteries of the universe, the principles established by Planck remain integral to our ongoing quest for knowledge and understanding.

宇宙充满了无数挑战我们理解和激发我们好奇心的现象。在这些现象中，电磁辐射的行为作为物理学的一个基本方面脱颖而出。Max Planck的贡献在于他的开创性工作导致了我们现在所知的普朗克辐射定律的形成。该定律描述了黑体在给定温度下发出的辐射强度如何随波长变化，根本改变了我们对热辐射的看法。要理解普朗克辐射定律的本质，首先必须了解什么是黑体。黑体是一个理想化的物理对象，它吸收所有入射辐射，无论频率或入射角度如何。这样的物体以一种特征谱发射辐射，该谱仅依赖于其温度。普朗克定律数学上表达了这种关系，说明随着黑体温度的升高，发射辐射的峰值波长向短波长移动。这种现象通常被称为维恩位移定律，是普朗克辐射定律的直接结果。在普朗克的工作之前，辐射的主流理论是基于经典物理学，具体来说是雷利-金斯定律。然而，这种经典方法预测在短波长时辐射强度将变得无限，这是一个被称为紫外灾难的矛盾。普朗克通过引入量子化的概念解决了这个问题，提出能量以离散单位（称为量子）被发射或吸收。这一革命性思想为量子力学奠定了基础，并永远改变了物理学的进程。普朗克辐射定律的数学表达式如下：I(λ, T) = (2hc² / λ⁵) * (1 / (e^(hc/λkT) - 1))在这个方程中，I(λ, T)代表特定波长(λ)和温度(T)下的辐射强度，而h是普朗克常数，c是光速，k是玻尔兹曼常数。这个方程的每个组成部分在准确描述黑体发出的电磁辐射分布方面都起着至关重要的作用。普朗克辐射定律的影响远远超出了理论物理学，它在多个领域都有实际应用，包括天文学、气候科学甚至现代技术。例如，了解恒星如何发光使天文学家能够推断其温度和成分。同样，在气候科学中，热辐射的原理有助于模拟地球的能量平衡和预测气候变化。总之，普朗克辐射定律代表了物理学历史上的一个关键时刻，连接了经典和现代理论。它不仅为理解黑体发出的辐射提供了清晰的框架，还引入了量子化的革命性概念，这在多个科学学科中具有深远的影响。随着我们继续探索宇宙的奥秘，普朗克所建立的原则仍然是我们不断追求知识和理解的重要组成部分。