Waves

A sonometer wire '\(A\)' of diameter '\(\mathrm{d}\)' under tension '\(T\)' having density '\(\rho_1\)' vibrates with fundamental frequency '\(n\)'. If we use another wire '\(B\)' which vibrates with same frequency under tension '\(2 \mathrm{~T}\)' and diameter '\(2 \mathrm{D}\)' then density '\(\rho_2\)' of wire '\(B\)' will be