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The initial temperature of a body is 800C. If its temperature falls to 640C in 5 minutes and in next 10 minutes to 520. Find the temperature of surrounding.

a
260C
b
600C
c
360C
d
490C

detailed solution

Correct option is D

According to Newton's law θ1-θ2t = k[θ1+θ22-θ0]Initially, (80-64)5 = K(80+642-θ0)⇒3.2 = K[72-θ0]-------(i)Finally, (64-52)10 = K[64+522-θ0]⇒ 1.2 = K[58-θ0]------(ii)On solving equation (i) and (ii) θ0 = 490C

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