Newton’s law of cooling, holds good only if the temperature difference between the body and the surroundings is

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

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

Which law of cooling holds for really larege temperature differences ?

Derive Newton's law of cooling to show that the rate of loss of heat from the body is proportional to the temperature difference between the body and its surroundings.

Newton's law og gravitation holds good for

Newton 's Law of Cooling : According to Newton 's law of cooling the rate of cooling is directly proportional to the temperature difference of body and its surrounding .If body cools from theta_(1) "to" theta_(2) in t seconds then (ms(theta_(1) -theta_(2))/(t)=alpha[(theta_(1)+theta_(2))/(t)- theta_(0)] . Where theta_(0) is the temperature of the surrounding . Is the statement true?