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Let there be n loops in the 1st case <br> `rarr` Length of the wire` <br> `L =((n`lamda_1`)/2) <br> (`lamda_1`=`2xx2=4cm`) <br> `rarr` Length of the wire <br> `L_l={(n+1)lamda_2/2}` <br> `(lamda_2=2xx(1.6)=3.2cm)` <br> `rarr (nlamda_1)/2=(n+1)lamda_2/2` <br> `rarr nxx4=(n+1)(3.2)` <br> `rarr 4n-(3.2)n=3.2` <br> `rarr 0.8n=3.2` <br> `rarr n=4` <br> `:. ` Length of the string <br> `L=(n lamda_1)/2=((4xx4))/2=8 cm`