Question

give reason for the following: Marble tiles feel colder than a carpet though both of them are at the same temperature

Answer 1

Wind chill factor makes the same air temperature feel different to your skin because convection removes heat more quickly from you skin when air is moving over it. Another factor affecting the flow of heat is conductivity, or the ability of material to transfer heat efficiently. Some materials, like metals and marble, are good conductors and allow heat to flow easily from and to your skin. Other materials (called insulators), like the material in carpeting, are poor conductors and do not allow heat to flow very easily. So even when they are at the same temperature, a cold marble floor transfers heat quickly away from your feet, while a cold carpet prevents that flow from occuring as quickly. That makes the marble "feel" colder. 

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Answer 2

Because marble tiles are a conductor of heat whereas a carpet is an insulator.
So marble tiles get cool faster.