The increase in length of a wire on stretching is 0.025%. If its Poisson's ratio is 0.4, then the percentage decrease in diameter is ______.
Physics · Mixed Chapter
JEE Main Practice

Question

The increase in length of a wire on stretching is 0.025%. If its Poisson's ratio is 0.4, then the percentage decrease in diameter is ______.

G1 Physics · Accepted Answer

Step 1: Longitudinal percentage strain is 0.025%. Step 2: Poisson's ratio ν = −(lateral strain)/(longitudinal strain). Step 3: Magnitude of percentage lateral strain = ν × longitudinal percentage strain. Step 4: Percentage decrease in diameter = 0.4 × 0.025% = 0.010%. Final answer: 0.01%.