One end of a nylon rope of length \( 1 \) and diameter \( 10 \, \text{mm} \) is fixed to free limb. A monkey weighing \( 100 \, \text{N} \) jumps to catch the free end and stays there. The change in diameter of the rope is (Young's modulus of the wire is \( Y \) and Poisson Ratio is \( \sigma \))