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Q.

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

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a

3:2

b

3:2

c

33:22

d

9:4

answer is A.

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Detailed Solution

We know that, Y=FL/AlForce constant k=F/l=YA/LSo, time period T is given byT=2πMk=2πMLYA∴ T1T2=Y2Y1=32
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Two springs of equal lengths and equal cross-sectional area are made of material whose Young's modulii are in the ratio of 2 : 3. They are suspended and loaded with the same mass. When stretched and released, they will oscillate with time periods in the ratio of