Two ideal polyatomic gases at temperatures $T _{1}$ and $T _{2}$ are mixed so that there is no loss of energy. If $F _{1}$ and $F _{2}, m _{1}$ and $m _{2}, n _{1}$ and $n _{2}$ be the degrees of freedom, masses, number of molecules of the first and second gas respectively, the temperature of mixture of these two gases is
  • A$\frac{ n _{1} T _{1}+ n _{2} T _{2}}{ n _{1}+ n _{2}}$
  • B$\frac{ n _{1} F _{1} T _{1}+ n _{2} F _{2} T _{2}}{ n _{1} F _{1}+ n _{2} F _{2}}$
  • C$\frac{ n _{1} F _{1} T _{1}+ n _{2} F _{2} T _{2}}{ F _{1}+ F _{2}}$
  • D$\frac{ n _{1} F _{1} T _{1}+ n _{2} F _{2} T _{2}}{ n _{1}+ n _{2}}$
JEE MAIN 2021, Diffcult
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