Two wires are made of the same material and have the same volume. The area of cross sections of the first and the second wires are A and 2A respectively. If the length of the first wire is increased by Delta l on applying a force F, how much force is needed to stretch the second wire by the same amount ?

Two wires are made of the same material and have the same volume. The

1.	Two wires are made of the same material and have the same volume. The area of cross sections of the first and the second wires are A and 2A respectively. If the length of the first wire is increased by Delta l on applying a force F, how much force is needed to stretch the second wire by the same amount ?
Answer» 2 4 8 16 Solution :Since the two wires have same volume Length of wire 1 = l, AREA of wire 1 = A Length of wire 2 = `l/2`, Area of wire `2 = 2A` Wire 1 : `Y_1 = (F/A)/((Deltal)/(l)) "" Y_1 = Y_2"Wire" 2 : Y_2 = ((F.)/(A))/((Deltal)/((l//2)))` `F/A XX l/(Delta l) = (F.)/(2A) xx l/(2Delta l)` `F = (F.)/4 implies F. = 4F`.