Define Poisson's ratio. The poisson's ratio of a material is `sigma`. If a longitudinal strain of a wire made of thin material be a, show that its volume strain is `(1-2sigma)a`

The poisson’s, ratio of a material is sigma . If a longitudinal strain of a wire made in thin material be prop , show that its volume strain is (1-2sigma)prop .

A material has Poisson 's ratio 0.50 . If a uniform rod it suffers a longitudinal strain of 2 xx 10 ^(-3) then the percentage change in volume is

A force of 10^6 N.m^-2 is required for breaking a material. IF the density of the material is 3 times 10^3 kg.m^-3 , then what should be the length of the wire made of this material , so that it breaks due its own weight? [ g=9.8 m.s^-2 ]

The Poisson's ratio of a material is 0.5. If a force is applied to a wire of this material, there is a decreases in the cross-sectional area by 4%. The percentage increase in the length is

The poison’s ratio of a material is 0.4. If a force is applied to a wire of this material, there is a decrease of cross-sectional area by 0.2 %. The percentage increase in its length is

Two wires made of same material have equal length and radius of one of them is twice that of the other. Find the ratio of their resistances.