A uniform solid cylindrical rod is subjected to a longitudinal tensile stress. It is observed that its length increases by 0.1 % while its diameter decreases by 0.03 % . The Poisson's ratio of the material of the rod is:

Step-by-step solution

Poisson's ratio ( ) is defined as the ratio of lateral strain to longitudinal strain. The longitudinal strain is the fractional change in length: Longitudinal strain = L L = 0.1 100 = 0.001 The lateral strain is the fractional change in diameter (considering magnitude): Lateral strain = d d = 0.03 100 = 0.0003 Poisson's ratio is given by: = Lateral strain Longitudinal strain = 0.0003 0.001 = 0.3 Alternatively, using percentage changes directly: = 0.03 % 0.1 % = 0.3 Answer: 0.3