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