When a body of mass .m., density `d_(B)` is suspended from a wire, its elongation is .e. when the body is in air. If the body is completely immersed in a non-viscous liquid of density `d_(l)` when its elongation is

Explanation

`F=W_(a)=mg`
`F^(1)=W_(l)=mg(1-(d_(l))/(d_(B)))`
as `e=(Fl)/(AY)`
e `alpha` F (as `l`, A, Y are same in both cases)
`(d^(1))/(e )=(F^(1))/(F)=(cancel(mg)(1-(d_(l))/(d_(B))))/(cancel(mg))rArr e^(1)=e(1-(d_(l))/(d_(B)))`