A metal rod has length, cross-sectional area and Young's modulus as ' L ^ , ^ A ^ and Y ^ respectively. If the elongation in the rod produced is ' ^ then work done is proportional to

Step-by-step solution

(C) V olume = A L or V = Al strain = Elongation Original length = Y l Young's modulus = stress strain Work done, W= 1 2 stress strain volume array l W= 1 2 Y ( strain )² A l = 1 2 Y [ y 1 ]² A l= 1 2 [ Y A 1 ] y² W y² array