A) \[{{a}_{c}}={{k}^{2}}{{r}^{2}}{{t}^{2}},\]
B) \[2mk{{r}^{2}}t\]
C) \[mk{{r}^{2}}{{t}^{2}}\]
D) \[m{{k}^{2}}{{r}^{2}}t\]
Correct Answer: B
Solution :
When bigger pendulum of time period \[\left( \frac{5T}{4} \right)\] completes one vibration, the smaller pendulum will complete \[\left( \frac{5}{4} \right)\] vibrations. It means the smaller pendulum will be leading the bigger pendulum by phase \[\frac{T}{4}\sec =\frac{\pi }{2}rad={{90}^{o}}\]
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