Two springs of equal lengths and equal cross-sectional area are made of materials whose Young's moduli are in the ration of `2:3` . They are suspended and loaded with the same mass. When stretched and released they oscillate. Find the ratio of the time period of oscillation.

Explanation

Young's modulus, `y=(F)/(A)xx(l)/(Deltal)`
Force constant, `k=(F)/(Deltal)=(YA)/(l)`
Time period, `T=2pisqrt((m)/(k))=2pisqrt((ml)/(YA))`
i.e., `Tprop1//sqrt(Y):. (T_(1))/(T_(2))=sqrt((Y_(2))/(Y_(1)))=sqrt((3)/(2))`