The stress versus strain graphs for wires of two materials A and B are as shown in the figure. If Y_A and Y_B are the Young's modulii of the materials, then

Step-by-step solution

We know that the slope of the line in a stress-strain curve represents the young's modulus for a wire. We also know that the slope of a line can be calculated as the tangent of the angle the line makes with the positive x -axis of the graph. So, for wire A, the stress-strain line of the material is at an angle of (60^ ) from the positive (x )-axis. So the slope of the line ( (m_A ) ) will be ( aligned & m_A= 60^ & m_A= 3 aligned ) Hence the young's modulus of wire A will also be ( 3 ). Similarly, for wire B , the s