A steel wire is suspended vertically from a rigid supports when loaded in with a weight in air, it extends by L_(a) and when the weight is immersed completely in water, the extension is reduced to L_(w) Find the relative density of the material of the weight.

A steel wire is suspended vertically from a rigid supports when loaded

1.	A steel wire is suspended vertically from a rigid supports when loaded in with a weight in air, it extends by L_(a) and when the weight is immersed completely in water, the extension is reduced to L_(w) Find the relative density of the material of the weight.
Answer» Solution :`Y=(FL)/(Ac), Y=(MgL)/(AL_(a))....(1) Y=(MG(1-(d_(L))/(d_(s))L))/(AL_(W)) ....(2)` `(MgL)/(AL_(a))=(MgL[1-(d_(L))/(d_(S))])/(AL_(w)), (1)/(L_(a))=(1-(d_(L))/(d_(S)))/(L_(w)) rArr (L_(w))/(L_(a))=1-(d_(L))/(d_(S)), (d_(L))/(d_(S))=1- (L_(w))/(L_(s))=(L_(a)-L_(w))/(L_(a)) rArr (d_(s))/(d_(L))=(L_(a))/(L_(a)-L_(w))`