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Question
A block of mass m attached to one end of the vertical spring produces extension x. If the block is pulled and released, the periodic time of oscillation is
Options
`2pisqrt("x"/"4g")`
`2pisqrt("2x"/"g")`
`2pisqrt("x"/"2g")`
`2pisqrt("x"/"g")`
MCQ
Solution
`2pisqrt("x"/"g")`
Explanation:
For vertical spring, the periodic time of oscillation is
T = `2pisqrt("m"/"k")`
As, restoring force, |F| = kx
`=> "k" = "F"/"x" = "mg"/"x"`
T = `2pisqrt("m"/("mg"/x))`
`= 2pi sqrt("x"/"g")`
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Oscillations
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