A) \[t_{2}^{4}-t_{1}^{4}\]
B) \[(t_{2}^{4}+273)-(t_{1}^{4}+273)\]
C) \[{{t}_{2}}-{{t}_{1}}\]
D) \[t_{2}^{2}-t_{1}^{2}\]
Correct Answer: C
Solution :
As we know that, the rate of cooling is \[\frac{d\theta }{dt}=bA(\theta -{{\theta }_{0}})\] Where \[bA=\]constant \[\Rightarrow \] \[\frac{d\theta }{dt}\propto \theta -{{\theta }_{0}}\] Also \[-\frac{dT}{dt}\propto T-{{T}_{0}}\] where. T = temperature and £= time So, the rate of heat absorbed by cooled body is proportional to \[{{t}_{2}}-{{t}_{1}}.\]You need to login to perform this action.
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