If a piece of metal is heated to temperature θ and then allowed to cool in a room which is at temperature θ0, the graph between the temperature T of the metal and time t will be closest to :
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Newton's Law of Cooling states that the rate of cooling is proportional to the temperature difference between the object and its surroundings. The temperature T of the metal decreases exponentially from its initial temperature θ towards the room temperature θ₀. The equation is:
This describes a curve that starts at (0, θ) and asymptotically approaches the horizontal line T = θ₀ as time increases. The graph is a decreasing exponential decay curve, not a straight line.
Final Answer: The first graph (top-left) is correct.