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Q.

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

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a

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b

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c

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d

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answer is C.

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Detailed Solution

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dθdt=−kθ−θ0;∫dθθ−θ0=−K∫dtlog⁡θ−θ0=−Kt+C⇒θ−θ0=e−Kt+Cθ=θ0+e−Kt+C

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