A) same
B) eight times
C) four times
D) twice
Correct Answer: C
Solution :
Key Idea: First write two different temperature from formula \[r\propto {{n}^{2}}\] \[KE=\frac{3}{2}RT\]and then directed them to find the change in KE \[{{T}_{1}}=27+273=300\text{ }K,\] \[{{T}_{2}}=927+273=1200\text{ }K\] \[K{{E}_{1}}=\frac{3}{2}R{{T}_{1}}=\frac{3}{2}\times R\times 300\] \[K{{E}_{2}}=\frac{3}{2}R{{T}_{2}}=\frac{3}{2}\times R\times 1200\] \[\frac{K{{E}_{2}}}{K{{E}_{1}}}=\frac{\frac{3}{2}R\times 1200}{\frac{3}{2}R\times 300}=4\] \[\therefore \]KE is increased 4 times.
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