Question

If 2 wire of length L1 and L2 and Young's modulus Y1 and Y2 are in series then effective Young's modulus is

• A. $\frac{y_1L_1+y_2L_2}{L_1+L_2}$
• B. $\frac{y_1L_2+y_2L_1}{L_1+L_2}$
• C. $\frac{y_1y_2(L_1+L_2)}{L_1+L_2}$
• D. $\frac{y_1+y_2}{2}$

Answer 1

Answer: (C)

$\frac{y_1y_2(L_1+L_2)}{L_1+L_2}$

Answer 2

The correct option is (C): $\frac{y_1y_2(L_1+L_2)}{L_1+L_2}$.