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Newton's law of cooling holds good provi...

Newton's law of cooling holds good provided the temperature difference between the body and the surroundings is .

A

less than `10^(@)C`

B

more than `10^(@)C`

C

less than `100^(@)C`

D

more than `100^(@)C`

Text Solution

Verified by Experts

The correct Answer is:
A

Newton's law of cooling states that the rate of cooling of a body is dirctly proportional to temperature differnce between the body and the surroundings , provided the temperature differnce is small , (less than `10^(@)C` ) and Newton's of cooling is given by
`(dT)/(dt)prop(theta-theta_(0))`
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Newton’s law of cooling says that the rate of cooling of a body is proportional to the temperature difference between the body and its surrounding when the difference in temperature is small. (a) Will it be reasonable to assume that the rate of heating of a body is proportional to temperature difference between the surrounding and the body (for small difference in temperature) when the body is placed in a surrounding having higher temperature than the body? (b) Assuming that our assumption made in (a) is correct estimate the time required for a cup of cold coffee to gain temperature from 10^(@)C to 15^(@)C when it is kept in a room having temperature 25^(@)C . It was observed that the temperature of the cup increases from 5^(@)C to 10^(@)C in 4 min

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Newton's law of cooling is relevant with

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-KINETIC THEORY OF GASES ANDRADIATION-MHT CET Corner
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