A) \[T({{H}_{2}})=T({{N}_{2}})\]
B) \[T({{H}_{2}})>T({{N}_{2}})\]
C) \[T({{H}_{2}})<T({{N}_{2}})\]
D) \[T({{H}_{2}})=\sqrt{7}\,T({{N}_{2}})\]
Correct Answer: C
Solution :
\[{{u}_{rms}}=\sqrt{\frac{3RT}{M}}\] \[\sqrt{\frac{3R{{T}_{{{H}_{2}}}}}{2}}=\sqrt{7}\sqrt{\frac{3R{{T}_{{{N}_{2}}}}}{28}};\] \[\therefore \,\,\,{{T}_{{{N}_{2}}}}=\sqrt{2{{T}_{{{H}_{2}}}}}\] or \[{{T}_{{{N}_{2}}}}>{{T}_{{{H}_{2}}}}\]
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