मराठी

A block of mass m attached to one ehd of the vertical spring produces extension x. If the block is pulled and released, the periodic time of oscillation is -

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प्रश्न

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

पर्याय

  • `2pisqrt("x"/"4g")`

  • `2pisqrt("2x"/"g")`

  • `2pisqrt("x"/"2g")`

  • `2pisqrt("x"/"g")`

MCQ

उत्तर

`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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