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Two springs of equal lengths and equal cross-sectional areas are made of materials whose Young's moduli are in the ratio of 3:2. They are suspended and loaded with the same mass. When stretched and released, they will oscillate with time periods in the ratio of


  1. 2:3

  2. 3:2

  3. 33:22

  4. 9:4


Solution

The correct option is A

2:3


Force constant k=Fl=YAL where l is the extension in the spring of original length L and cross-sectional area A when a force F = Mg is applied.
Now, the time period of oscillation is given by T=2πMk=2πMLYA
T1T2=Y2Y1=23
Hence, the correct choice is (a).

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