1.

As shown in figure in a simple barmonic motion obscillator having identical four springs has time period A. `T = 2 pi sqrt((m)/(4 k))`B. `T = 2 pi sqrt((m)/(2 k))`C. `T = 2 pi sqrt((m)/( k))`D. `T = 2 pi sqrt((m)/(8 k))`

Answer» Correct Answer - c
`k_(1)` and `k_(2)` parallel and `k_(3)` and `k_(4)` are parrallel .The two combnations an in same with each other
`k_(1) + k_(2) = 2k`
`k_(3) + k_(4) = 4k`
`(1)/(k_(eq)) = (1)/(2k) + (1)/(2k)`
`k_(eq) = k`
`T = 2 pi sqrt((m)/(k))`


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