We know force (F)=kxW=21kx2W=2k(kx)2∴W=2kF2[asF=kx]When force is same then,W∝k1Given that, W1>W2∴k1<k2 Statement-2 is true.For the same extension, x1=x2=xWork done on spring S1 is W1=21k1x12=21k1x2Work done on spring S2 is W2=21k2x22=21k2x2∴W2W1=k2k1As k1<k2 then W1<W2So, Statement-1 is false.