A human body has a typical temperature of 97F, or about 300K, therefore at what wavelength do we emit the maximum amount of electromagnetic radiation?

Question

BlackTom AI · Accepted Answer

To determine where the human body emits the most electromagnetic radiation, we treat the body as a blackbody at roughly 300 K (since 97°F ≈ 36.1°C ≈ 300 K).

A key relation here is Wien's displacement law, which states that the peak wavelength lambda_max = b / T, where b ≈ 2.898 × 10^-3 m·K.

Plugging in T ≈ 300 K gives lambda_max ≈ (2.898 × 10^-3 m·K) / (300 K) ≈ 9.66 × 10^-6 m, which is about 9.7 μm.

Rounding for practical purposes, this peak occurs near 10 μm, which lies in the infrared region of the spectrum. Consequently, the body’s most intense emission is in the infrared rather than visible light.

If one were to consider typical alternatives people might guess, a wavelength in the visible range (e.g., around 0.5 μm for green light) would be far too short for a 300 K blackbody, and a much longer wavelength in the microwave range would miss the actual peak by orders of magnitude. However, without provided options to critique explicitly, the central reasoning rests on applying Wien's law to a ~300 K body and identifying the corresponding infrared peak.

In summary, based on the temperature, the maximum emission wavelength is approximately 10 micrometers, placing the peak firmly in the infrared region.

A human body has a typical temperature of 97F, or about 300K, therefore at what wavelength do we emit the maximum amount of electromagnetic radiation?单项选择题

类似问题

The earth is much cooler than the Sun, but it also emits radiation. The earth’s peak wavelength of emission is _______ compared to the Sun’s peak wavelength.

A black body glowing in blue color is at a higher temperature than another black body glowing in yellow color.

If a star has a surface temperature of 21,000K, at what electromagnetic wavelength does the star emit its maximum amount of energy?

A human body with a typical temperature of 300K emits its maximum electromagnetic energy at 10 micrometers, which is in the infrared range and far from the visible wave spectrum. Why can we see each other?

Which term best represents the relation between a blackbody and radiant energy? A blackbody is an ideal _______ of radiant energy.

Stefan-Boltzmann Law states that the total amount of energy emited by a blackbody is proportional to the temperature of the blackbody in Kelvin ...

Stefan-Boltzmann Law states that the total amount of energy emited by a blackbody is proportional to the temperature of the blackbody in Kelvin ...

Given the sun has a surface temperature of approximately 6,000K, over what electromagnetic wave spectrum does the sun emit its maximum amount of energy?

更多留学生实用工具

智能学习助手

风格化写作助手

论文查重助手

文献引用助手

课堂转译助手

课堂笔记助手

Quiz搜索助手

学校历年真题

智能刷题助手

智能匹配练习

希望你的学习变得更简单