Variation of temperature according to newton''s law, Physics

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Variation of temperature of a body according to Newton's law: Let Consider a system has a temperature Φi at time t = 0. It is placed in an environment whose temperature is Φ0. We are involved in searching the temperature of the object at time t, suppose Newton's law of cooling to hold good or by taking that the temperature dissimilarity is very small. As per that law, rate of cooling temperature dissimilarity

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