A) \[{{\left( \frac{1}{3} \right)}^{1/3}}\]
B) \[{{\left( \frac{1}{3} \right)}^{1/2}}\]
C) \[\frac{1}{3}\]
D) \[\sqrt{3}\]
Correct Answer: A
Solution :
\[\frac{\Delta Q}{\Delta T}=e\sigma A{{T}^{4}}\] \[\frac{\Delta Q}{\Delta T}=e\sigma A{{T}^{4}}=\frac{mc\Delta T}{\Delta t}\] \[A=\pi {{r}^{2}}\,=\pi {{\left( \frac{3m}{4\pi \rho } \right)}^{2/3}}\] from \[m=\frac{4}{3}\pi {{r}^{3}}\rho \] \[\left( \frac{\Delta T}{\Delta t} \right)\propto \,{{\left( \frac{1}{m} \right)}^{1/3}}\] \[\frac{(\Delta T/\Delta t)}{{{(\Delta T/\Delta t)}_{2}}}={{\left( \frac{{{m}_{2}}}{{{m}_{1}}} \right)}^{1/3}}\,={{\left( \frac{1}{3} \right)}^{1/3}}\]You need to login to perform this action.
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