/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 6 Give an example to illustrate wh... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

Give an example to illustrate why you cannot accurately judge the temperature of an object by how hot or cold it feels to the touch.

Short Answer

Expert verified
Perception of temperature can be deceiving after exposure to different temperatures due to sensory adaptation.

Step by step solution

01

Understanding Perception of Temperature

The human skin has receptors that perceive temperature changes, but these receptors can be deceived by external factors, such as the temperature of previous environments. This means that an object may feel differently warm or cold depending on the conditions your skin has recently experienced.
02

Experiment Setup

Suppose you immerse one hand in a bowl of hot water, another in a bowl of cold water, for a few minutes. Upon placing both hands in a bowl of lukewarm water, the hand that was in cold water will perceive the lukewarm water as hot, while the hand from the hot water will perceive it as cold.
03

Observing Sensory Adaptation

This mismatch in perception happens due to sensory adaptation, where the skin receptors adjust to the higher or lower temperature after prolonged exposure, and can therefore cause differing perceptions of the same temperature.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Sensory Adaptation
Sensory adaptation is a fascinating phenomenon where your senses become less responsive to constant stimuli. This is a way for your body to save energy and focus on new changes in the environment. Think about when you enter a room with a distinct smell. At first, it is strong and noticeable, but after a while, it seems to fade. This is your sense of smell adapting.
Your skin does something similar with temperature. When exposed to a particular temperature for a period, your skin receptors begin to "tune out" or get used to the sensation. This means they become less sensitive to that specific temperature. When the temperature changes, the receptors take some time to adjust again.
If you have ever entered a cold pool and felt fine after a few minutes, that is sensory adaptation at work. The initial shock fades as your body's receptors adjust. However, this can make you less accurate in judging temperature around you, especially when conditions change suddenly.
Human Skin Receptors
Human skin is equipped with specialized receptors that detect temperature. These receptors send signals to your brain about how hot or cold something feels. There are primarily two types of thermoreceptors in your skin:
  • Cold receptors: They activate at cooler temperatures, helping you notice when things feel cold.
  • Warm receptors: They get triggered when something warm touches your skin.
These receptors are responsible for letting the brain know about the temperature of your environment. On their own, they do a great job. But after time, especially in a consistent environment, they might adapt. This means prolonged exposure to certain temperatures can make these receptors less reliable for sudden changes.
Your brain interprets the signals from these receptors to give you a sense of temperature. However, if your body has adapted to a temperature, such as in the example with hands in hot and cold water, the shift to a neutral environment can still "trick" your perception.
Temperature Experiments
One of the simplest ways to explore temperature perception is through experiments that highlight sensory adaptation. An easy and revealing experiment involves using bowls of water at different temperatures. First, immerse one hand in warm or hot water, and the other in cold water for a few minutes. Then, place both hands in the same bowl of lukewarm water and notice what happens.
  • Your hand from the cold water will feel the lukewarm water as warm or even hot.
  • The hand that was in the hot water will perceive that same lukewarm water as cold.
This occurs because your skin's receptors in each hand have adapted to their previous environment. This mismatch shows how deceptive perceived temperature can be due to sensory adaptation. Such experiments are not only fun but highlight how our perception can vary drastically depending on recent exposure. They help illustrate why our sense of temperature can't always be trusted at face value.

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Most popular questions from this chapter

Heat capacities are normally positive, but there is an important class of exceptions: systems of particles held together by gravity, such as stars and star clusters. (a) Consider a system of just two particles, with identical masses, orbiting in circles about their center of mass. Show that the gravitational potential energy of this system is -2 times the total kinetic energy. (b) The conclusion of part (a) turns out to be true, at least on average, for any system of particles held together by mutual gravitational attraction: $$ \bar{U}_{\text {potential }}=-2 \bar{U}_{\text {kinetic }} $$ Here each \(\bar{U}\) refers to the total energy (of that type) for the entire system, averaged over some sufficiently long time period. This result is known as the virial theorem. (For a proof, see Carroll and Ostlie (1996), Section 2.4.) Suppose, then, that you add some energy to such a system and then wait for the system to equilibrate. Does the average total kinetic energy increase or decrease? Explain. (c) A star can be modeled as a gas of particles that interact with each other only gravitationally. According to the equipartition theorem, the average kinetic energy of the particles in such a star should be \(\frac{3}{2} k T,\) where \(T\) is the average temperature. Express the total energy of a star in terms of its average temperature, and calculate the heat capacity. Note the sign. (d) Use dimensional analysis to argue that a star of mass \(M\) and radius \(R\) should have a total potential energy of \(-G M^{2} / R,\) times some constant of order 1. (e) Estimate the average temperature of the sun, whose mass is \(2 \times 10^{30} \mathrm{kg}\) and whose radius is \(7 \times 10^{8} \mathrm{m}\). Assume, for simplicity, that the sun is made entirely of protons and electrons.

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