While determining the Young modulus of a metal wire, a student plots a graph from the recorded readings but omits the axis labels. As shown in the figure, the quantities on the X and Y -axes could respectively be

Step-by-step solution

The given graph is a straight line passing through the origin, which implies that the quantity on the Y-axis is directly proportional to the quantity on the X-axis ( Y X ). Young's modulus is given by Y = Stress Strain = W/A L/L , where W is the weight hung, A is the cross-sectional area, L is the increase in length, and L is the original length. Let us analyze the given options: For option (1): X-axis = L , Y-axis = W^2 . Since W L , we have W^2 ( L)^2 . This would result in a parabolic graph, not a straight line.