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Temperature at which person can feel metal rod and wooden block to be equally hot is (a) his body temperature (b) twice has body temperature (c) four times equal to body temperature (d) temperature cqual to their ratio of specific heat capacities

Short Answer

Expert verified
None directly answers; closest is (d), considering specific heat capacities.

Step by step solution

01

Understanding the Concept

When a person touches objects like a metal rod and a wooden block, the perception of how hot they feel depends on the rate of heat transfer to their hand, not just the temperature of the objects. Metal, with its high thermal conductivity, usually feels hotter than wood if both are at the same temperature. However, at certain temperatures, they can feel equally hot despite their different heat conductivities.
02

Analyzing Properties of Materials

Metals generally have a higher thermal conductivity than wood. This property tends to make metals feel colder or hotter than wood at the same temperature. For them to feel equally hot, the perception of heat transfer to the body should consider not only temperature but also these physical properties.
03

Determining When Both Feel Equally Hot

The thermal sensation of touch can be perceived similarly at specific temperatures where the transfer of heat to the skin feels the same. This situation doesn't rely solely on a direct temperature comparison to the body temperature and is influenced also by the physical characteristics of the materials.
04

Evaluating Given Options

According to the concept of thermal sensation, none of the given options (a, b, c, or d) directly address when two materials feel equally hot based specifically on temperature alone. However, among these options, the closest conceptually would be the notion that the feeling could be determined by the ratio of specific heat capacities. This is not perfect but aligns with understanding thermal sensations and material properties.

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Key Concepts

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

Thermal Conductivity
Thermal conductivity is a material's ability to conduct heat. It is the rate at which heat passes through a material, measured as energy flow per unit time per unit area, with a given temperature difference across that area. Materials with high thermal conductivity, like metals, transfer heat quickly. This means when you touch a metal object, heat flows rapidly into your hand, making the object feel hotter.

In contrast, materials with low thermal conductivity, like wood, transfer heat more slowly. This slower transfer results in the wood feeling cooler even at the same temperature as the metal.
  • Metal feels hotter due to high thermal conductivity.
  • Wood feels cooler due to low thermal conductivity.
Understanding these differences helps explain thermal sensations and why metals and wood feel differently to the touch.
Heat Transfer
Heat transfer is the movement of thermal energy from one object to another or within an object when there is a temperature difference. There are three main modes of heat transfer: conduction, convection, and radiation. Conduction is the most relevant for understanding how materials feel to the touch.

When you touch a material, energy is conducted from the material to your skin. This process depends on the material's thermal conductivity and the temperature gradient.
  • High thermal conductivity results in rapid heat transfer to your hand.
  • A steeper temperature gradient increases the rate of heat transfer.
Thus, materials with high thermal conductivity like metal will transfer heat more efficiently than wood.
Specific Heat Capacity
Specific heat capacity refers to the amount of heat needed to change a substance's temperature by one degree per unit mass. It is a property that determines how much heat a material can store. Metals tend to have a lower specific heat capacity compared to wood, meaning they require less energy to change their temperature.

This property contributes to how objects feel when touched:
  • Low specific heat capacity (e.g., metals) means temperature changes quickly, affecting thermal sensation.
  • Higher specific heat capacity (e.g., wood) results in slower temperature changes.
While thermal conductivity determines the rate of heat transfer, specific heat capacity affects how long a material stays at a given temperature when absorbing or losing heat.
Material Properties
Material properties refer to the inherent characteristics of materials that affect how they react under different thermal conditions. These properties include thermal conductivity and specific heat capacity, among others. Each property influences how materials conduct and retain heat, impacting thermal sensation.

When you perceive two objects as equally hot, it's not just about their temperature, but the combination of these materials' properties.
  • Thermal conductivity impacts the speed of heat transfer.
  • Specific heat capacity affects temperature stability and change.
Understanding these properties is crucial for predicting thermal sensation, as they dictate how quickly and stably heat will transfer, creating the sense of warmth or coldness on contact.

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