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The Poisson’s ratio of a material is 0.4. If a force is applied to a wire of this material, there is decrease of cross-sectional area by 2%. The percentage increase in its length is

a)

3%

b)

2.5%

c)

1%

d)

0.5%


Question ID - 56001 | Toppr Answer

The Poisson’s ratio of a material is 0.4. If a force is applied to a wire of this material, there is decrease of cross-sectional area by 2%. The percentage increase in its length is

a)

3%

b)

2.5%

c)

1%

d)

0.5%

1 Answer - 5876 Votes

3537

Answer Key : (b) -

(b)

Poisson’s ratio,

Area 

Differentiating

As  

= 2

Given 

= 2=2

Given   0.4

Or      

= 2.5

= 2.5%



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