1.

Figure shows three oscillating LC circuit with identical inductors and capacitors.If t_(1),t_(2), t_(3) are the time taken by the circuits I, II, III for fully discharge, then

Answer»

`t_(1) gt t_(2) gt t_(3)`
`t_(1) lt t_(2) lt t_(3)`
`t_(2) lt t_(1) lt t_(3)`
`t_(3) = sqrt(t_(1)t_(2))`

SOLUTION :Time PERIOD, `T_(1) = 2pi sqrt(LC), T_(2) = 2pi sqrt((LC)/(2)),T_(3) = 2pi sqrt(2LC)`.
Clearly `t_(2) lt t_(1) lt t_(3)`.


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