Question 207: Properties of Matter

Question

According to Newton's law of cooling, the rate of cooling of a body is proportional to $${\left( {\Delta 	heta } ight)^n},$$  where $${\Delta 	heta }$$ is the difference of the temperature of the body and the surrounding, and $$n$$ is equal to :

Accepted Answer

Newton's law of cooling states that the rate of heat loss of a body is proportional to the difference in temperatures between the body and its surroundings. Mathematically, this law is often written as :
$ \frac{d	heta}{dt} \propto \Delta 	heta $
In this formula, $ \frac{d	heta}{dt} $ is the rate of cooling (i.e., the rate of change of temperature with respect to time), and $ \Delta 	heta $ is the difference in temperature between the body and the environment.
The law does not specify the temperature difference to an exponential power; it simply states a linear proportionality. Therefore, the correct answer is :
Option D : one.

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two

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three

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four

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one

Properties of Matter

According to Newton's law of cooling, the rate of cooling of a body is proportional to ${\left( {\Delta \theta } \right)^n}, where {\Delta \theta } is the difference of the temperature of the body and the surrounding, and n$ is equal to :

Choose the correct answer: