If a piece of metal is heated to temperature θ and then allowed to cool in a room which is at temperature θ_0 , the graph between the temperature T of - Physics MCQ JEE Main 2026 | ExamTest.live

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If a piece of metal is heated to temperature θ and then allowed to cool in a room which is at temperature θ_{0}, the graph between the temperature T of the metal and time t will be closest to:

Solution & Step-by-step Explanation

According to Newton's Law of Cooling: \frac{d T}{d t} = - K (T - θ_{0}) This leads to an exponential decay of temperature over time: T - θ_{0} = (T_{i} - θ_{0}) e^{- K t} As t \to \infty, T \to θ_{0} . Thus, the graph is an exponential curve that becomes asymptotic to the room temperature θ_{0} .

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If a piece of metal is heated to temperature θ and then allowed to cool in a room which is at temperature θ_{0}, the graph between the temperature T of the metal and time t will be closest to:

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