A) \[{{t}_{3}}>{{t}_{2}}>{{t}_{1}}\]
B) \[{{t}_{1}}>{{t}_{2}}>{{t}_{3}}\]
C) \[{{t}_{2}}>{{t}_{1}}={{t}_{3}}\]
D) \[{{t}_{1}}>{{t}_{2}}>{{t}_{3}}\]
Correct Answer: A
Solution :
From Newton's law of cooling \[\frac{dH}{dt}=K\left( \frac{{{\theta }_{1}}+{{\theta }_{2}}}{2}-{{\theta }_{0}} \right)\] where \[{{\theta }_{0}}\] is temperature of surrounding, \[\frac{{{\theta }_{1}}+{{\theta }_{2}}}{2}\]the temperature of body. Hence\[,\] \[{{t}_{3}}>{{t}_{2}}>{{t}_{1}}\].
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