A) \[{{t}_{1}}>{{t}_{2}}>{{t}_{3}}\]
B) \[{{t}_{1}}<{{t}_{2}}<{{t}_{3}}\]
C) \[{{t}_{2}}<{{t}_{1}}<{{t}_{3}}\]
D) \[{{t}_{3}}=\sqrt{{{t}_{1}}{{t}_{2}}}\]
Correct Answer: C
Solution :
[c] Time period, \[{{T}_{1}}=2\pi \sqrt{LC},\,\,\,\,{{T}_{2}}=2\pi \sqrt{\frac{LC}{2}}\] \[{{T}_{3}}=2\pi \sqrt{2LC}\] Clearly \[{{t}_{2}}<{{t}_{1}}<{{t}_{3}}.\]
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