A) 2
B) \[\Delta U\]
C) \[100{}^\circ C,\]
D) \[K=41\text{ }kJ\text{ }mo{{l}^{-1}}\]
Correct Answer: D
Solution :
Use\[AM-GM\]inequality in the positive real numbers p and q and solve.it. Using \[AM\ge GM\] \[\frac{{{p}^{2}}+{{q}^{2}}}{2}\ge pq\] \[\Rightarrow \]\[pq\le \frac{1}{2}\] \[(\because {{p}^{2}}+{{q}^{2}}=1)\] Now, \[{{(p+q)}^{2}}={{p}^{2}}+{{q}^{2}}+2pq\] \[\Rightarrow \] \[{{(p+q)}^{2}}=1+2pq\] \[\Rightarrow \] \[{{(p+q)}^{2}}\le 1+1\] \[\Rightarrow \] \[p+q\le \sqrt{2}\]
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