Question

The increase in length on stretching a wire is 0.05%. If its Poisson's ratio is 0.4, then its diameter will be: 

विकल्प

• reduced by 0.02%

• reduced by 0.1%

• increased by 0.02%

• decreased by 0.4%

Answer 1

reduced by 0.02%

Explanation:

Poisson's ratio = `"Lateral strain"/"longitudinal strain"`

∴ Lateral strain = `0.4 xx 0.05/100`

= 0.02%

For a constant volume, the diameter gets smaller as the length does.

Hence, lateral strain is reduced by 0.02%.