If $A$ is the area of cross-section of a spring $L$ is its length $E$ is the Young's modulus of the material of the spring then time period and force constant of the spring will be respectively
  • A$T = 2\pi \sqrt {\frac{{EA}}{{ML}}} ,k = \frac{L}{{EA}}$
  • B$T = \frac{1}{{2\pi }}\sqrt {\frac{{EA}}{{ML}}} ,k = \frac{A}{{EL}}$
  • C$T = \frac{1}{{2\pi }}\sqrt {\frac{{EL}}{{MA}}} ,k = \sqrt {\frac{{EA}}{L}}$
  • D$T = 2\pi \sqrt {\frac{{ML}}{{EA}}} ,k = \frac{{EA}}{L}$
AIIMS 2010, Medium
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