If your body temperature is 37°C, then you're giving off the greatest amount of infrared light at afrequency of 3.2x10^13 Hz. Since your cells are mostly water, let's look at one water (H20) molecule,and let's assume that the oxygen atom is mostly staying still, and one of the hydrogen atoms is vibratingat this frequency of 3.2x10^13 Hz (resulting in this infrared radiation). We can model this oscillation as amass on a spring. A hydrogen atom is just a proton and an electron (and you can ignore the mass of theelectron because it's so smnall)a) How much time does it take for the hydrogen atom to go through one full oscillation?b) If you're modeling the hydrogen-oxygen bond as a spring, what is its "spring constant"?c) Our "mass on a spring" has both kinetic energy and potential energy. For reasons that wewon't get into here, the total kinetictpotential energy (on average) should be kBT (where kB isBoltzmann's constant, and Tis the temperature). What is the amplitude of the oscillation?d) What is the hydrogen atom's maximum speed while it is oscillating?

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If your body temperature is 37°C, then you're giving off the greatest amount of infrared light at a frequency of 3.2x10^13 Hz. Since your cells are mostly water, let's look at one water (H2O) molecule, and let's assume that the oxygen atom is mostly staying still, and one of the hydrogen atoms is vibrating at this frequency of 3.2x10^13 Hz (resulting in this infrared radiation). We can model this oscillation as a mass on a spring. A hydrogen atom is just a proton and an electron (and you can ignore the mass of the electron because it's so small) a) How much time does it take for the hydrogen atom to go through one full oscillation? b) If you're modeling the hydrogen-oxygen bond as a spring, what is its "spring constant"? c) Our "mass on a spring" has both kinetic energy and potential energy. For reasons that we won't get into here, the total kinetictpotential energy (on average) should be kBT (where kB is Boltzmann's constant, and T is the temperature). What is the amplitude of the oscillation? d) What is the hydrogen atom's maximum speed while it is oscillating?

If your body temperature is 37°C, then you're giving off the greatest amount of infrared light at a frequency of 3.2x10^13 Hz. Since your cells are mostly water, let's look at one water (H2O) molecule, and let's assume that the oxygen atom is mostly staying still, and one of the hydrogen atoms is vibrating at this frequency of 3.2x10^13 Hz (resulting in this infrared radiation). We can model this oscillation as a mass on a spring. A hydrogen atom is just a proton and an electron (and you can ignore the mass of the electron because it's so small) a) How much time does it take for the hydrogen atom to go through one full oscillation? b) If you're modeling the hydrogen-oxygen bond as a spring, what is its "spring constant"? c) Our "mass on a spring" has both kinetic energy and potential energy. For reasons that we won't get into here, the total kinetictpotential energy (on average) should be kBT (where kB is Boltzmann's constant, and T is the temperature). What is the amplitude of the oscillation? d) What is the hydrogen atom's maximum speed while it is oscillating?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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