A block of mass $m$ is having two similar rubber ribbons attached to it as shown in the figure. The force constant of each rubber ribbon is $K$ and surface is frictionless. The block is displaced from mean position by $x\,cm$ and released. At the mean position the ribbons are underformed. Vibration period is
A block of mass $m$ is having two similar rubber ribbons attached to it as shown in the figure. The force constant of each rubber ribbon is $K$ and surface is frictionless. The block is displaced from mean position by $x\,cm$ and released. At the mean position the ribbons are underformed. Vibration period is
- A
$2\pi \sqrt {\frac{{m(2k)}}{{{k^2}}}} $
- B
$\frac{1}{{2\pi }}\sqrt {\frac{{m(2k)}}{{{k^2}}}} $
- C
$2\pi \sqrt {\frac{m}{k}} $
- D
$2\pi \sqrt {\frac{m}{k+k}} $
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