A) \[A\] is \[4/6\] times stronger than\[B\]
B) \[A\] is \[10\] times stronger than\[B\]
C) \[A\] is \[6/4\] times stronger than\[B\]
D) \[B\] is \[10\] times stronger than\[A\]
Correct Answer: B
Solution :
\[p{{K}_{a}}=\log {{K}_{a}}\] \[\therefore \] \[{{(p{{K}_{a}})}_{A}}=-\log {{({{K}_{a}})}_{A}}\] \[{{({{K}_{a}})}_{A}}=\text{antilog}(-4)={{10}^{-4}}\] Similarly, \[{{({{K}_{a}})}_{B}}=\text{antilog}(-6)={{10}^{-6}}\] \[\frac{Strength\,\,of\,\,A}{Strength\,\,of\,\,B}=\sqrt{\frac{{{K}_{a}}}{{{K}_{b}}}}\] \[=\sqrt{\frac{{{10}^{-4}}}{{{10}^{-6}}}}=10\] \[\therefore \]Strength of\[A=10\times \]strength of\[B\].
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