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Certain quantity of water cools from $70^{0} C to 60^{0} C in the first 5 minutes and to 54^{0} C$ in the next 5 minutes. The temperature of the surroundings is

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Correct option is A

Newton's law of cooling θ1-θ2∆t = K[θ1+θ22-θ0]First ⇒ 70-605 = K[65-θ0]⇒ 2 = K[65-θ0]------(i)Next ⇒ 60-545 = K[57-θ0]------(ii)Dividing (i) and (ii) 53 = 65-θ057-θ0⇒ 285-5θ0-195-3θ0 ⇒ 2θ0 = 90 θ0 = 450

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Certain quantity of water cools from 700C to 600C in the first 5 minutes and to 540C in the next 5 minutes. The temperature of the surroundings is

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Certain quantity of water cools from $70^{0} C to 60^{0} C in the first 5 minutes and to 54^{0} C$ in the next 5 minutes. The temperature of the surroundings is