A) 2100 K
B) 1700 K
C) 1350 K
D) 1050 K
Correct Answer: D
Solution :
\[{{\upsilon }_{rms}}=\sqrt{\frac{3RT}{m}}\] \[\frac{{{\upsilon }_{1}}}{{{\upsilon }_{2}}}=\sqrt{\frac{{{T}_{1}}}{{{M}_{1}}}\times \frac{{{M}_{2}}}{{{T}_{2}}}}\] \[\frac{{{\upsilon }_{H}}}{{{\upsilon }_{N}}}=\sqrt{\frac{{{T}_{H}}}{{{M}_{H}}}\times \frac{{{M}_{N}}}{{{T}_{N}}}}\] \[7=\sqrt{\frac{{{T}_{H}}\times 28}{2\times 300}}\] \[49=\frac{{{T}_{H}}\times 28}{600}\] \[{{T}_{H}}=\frac{49\times 600}{28}=1050\,K\]
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