02. Poisson’s Ratio, Modulus of Rigidity
Mechanical Properties of Solids

141124 A material has Poisson's ratio 0.50. If a uniform rod of it suffers a longitudinal strain of $2 \times 10^{-3}$, then the percentage change in volume is

1 0.6
2 0.4
3 0.2
4 zero
Mechanical Properties of Solids

141125 The Poisson's ratio of a material is 0.5 . If a force is applied to a wire of this material, there is a decrease in the cross-sectional area by $4 \%$. The percentage increase in the length is

1 $1 \%$
2 $2 \%$
3 $2.5 \%$
4 $4 \%$
Mechanical Properties of Solids

141126 If for a material Young's modulus $=6.6 \times 10^{10}$
$\mathrm{Nm}^{-2}$ and Bulk modulus $=11 \times 10^{10} \mathrm{Nm}^{-2}$, its Poisson's ratio is

1 0.1
2 0.2
3 0.3
4 0.4
Mechanical Properties of Solids

141128 When a wire of length $10 \mathrm{~m}$ is subjected to a force of $100 \mathrm{~N}$ along its length, the lateral strain produced is $0.01 \times 10^{-3}$. The Poisson's ratio was found to be 0.4 . If the area of cross-section of wire is $0.025 \mathrm{~m}^{2}$, its Young's modulus is

1 $1.6 \times 10^{8} \mathrm{Nm}^{-2}$
2 $2.5 \times 10^{10} \mathrm{Nm}^{-2}$
3 $1.26 \times 10^{11} \mathrm{Nm}^{-2}$
4 $16 \times 10^{9} \mathrm{Nm}^{-2}$
Mechanical Properties of Solids

141129 When a wire is subjected to a force along its length, its length increases by $0.4 \%$ and its radius decreases by $0.2 \%$. Then the Poisson's ratio of the material of the wire is.

1 0.8
2 0.5
3 0.2
4 0.1
Mechanical Properties of Solids

141124 A material has Poisson's ratio 0.50. If a uniform rod of it suffers a longitudinal strain of $2 \times 10^{-3}$, then the percentage change in volume is

1 0.6
2 0.4
3 0.2
4 zero
Mechanical Properties of Solids

141125 The Poisson's ratio of a material is 0.5 . If a force is applied to a wire of this material, there is a decrease in the cross-sectional area by $4 \%$. The percentage increase in the length is

1 $1 \%$
2 $2 \%$
3 $2.5 \%$
4 $4 \%$
Mechanical Properties of Solids

141126 If for a material Young's modulus $=6.6 \times 10^{10}$
$\mathrm{Nm}^{-2}$ and Bulk modulus $=11 \times 10^{10} \mathrm{Nm}^{-2}$, its Poisson's ratio is

1 0.1
2 0.2
3 0.3
4 0.4
Mechanical Properties of Solids

141128 When a wire of length $10 \mathrm{~m}$ is subjected to a force of $100 \mathrm{~N}$ along its length, the lateral strain produced is $0.01 \times 10^{-3}$. The Poisson's ratio was found to be 0.4 . If the area of cross-section of wire is $0.025 \mathrm{~m}^{2}$, its Young's modulus is

1 $1.6 \times 10^{8} \mathrm{Nm}^{-2}$
2 $2.5 \times 10^{10} \mathrm{Nm}^{-2}$
3 $1.26 \times 10^{11} \mathrm{Nm}^{-2}$
4 $16 \times 10^{9} \mathrm{Nm}^{-2}$
Mechanical Properties of Solids

141129 When a wire is subjected to a force along its length, its length increases by $0.4 \%$ and its radius decreases by $0.2 \%$. Then the Poisson's ratio of the material of the wire is.

1 0.8
2 0.5
3 0.2
4 0.1
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Mechanical Properties of Solids

141124 A material has Poisson's ratio 0.50. If a uniform rod of it suffers a longitudinal strain of $2 \times 10^{-3}$, then the percentage change in volume is

1 0.6
2 0.4
3 0.2
4 zero
Mechanical Properties of Solids

141125 The Poisson's ratio of a material is 0.5 . If a force is applied to a wire of this material, there is a decrease in the cross-sectional area by $4 \%$. The percentage increase in the length is

1 $1 \%$
2 $2 \%$
3 $2.5 \%$
4 $4 \%$
Mechanical Properties of Solids

141126 If for a material Young's modulus $=6.6 \times 10^{10}$
$\mathrm{Nm}^{-2}$ and Bulk modulus $=11 \times 10^{10} \mathrm{Nm}^{-2}$, its Poisson's ratio is

1 0.1
2 0.2
3 0.3
4 0.4
Mechanical Properties of Solids

141128 When a wire of length $10 \mathrm{~m}$ is subjected to a force of $100 \mathrm{~N}$ along its length, the lateral strain produced is $0.01 \times 10^{-3}$. The Poisson's ratio was found to be 0.4 . If the area of cross-section of wire is $0.025 \mathrm{~m}^{2}$, its Young's modulus is

1 $1.6 \times 10^{8} \mathrm{Nm}^{-2}$
2 $2.5 \times 10^{10} \mathrm{Nm}^{-2}$
3 $1.26 \times 10^{11} \mathrm{Nm}^{-2}$
4 $16 \times 10^{9} \mathrm{Nm}^{-2}$
Mechanical Properties of Solids

141129 When a wire is subjected to a force along its length, its length increases by $0.4 \%$ and its radius decreases by $0.2 \%$. Then the Poisson's ratio of the material of the wire is.

1 0.8
2 0.5
3 0.2
4 0.1
Mechanical Properties of Solids

141124 A material has Poisson's ratio 0.50. If a uniform rod of it suffers a longitudinal strain of $2 \times 10^{-3}$, then the percentage change in volume is

1 0.6
2 0.4
3 0.2
4 zero
Mechanical Properties of Solids

141125 The Poisson's ratio of a material is 0.5 . If a force is applied to a wire of this material, there is a decrease in the cross-sectional area by $4 \%$. The percentage increase in the length is

1 $1 \%$
2 $2 \%$
3 $2.5 \%$
4 $4 \%$
Mechanical Properties of Solids

141126 If for a material Young's modulus $=6.6 \times 10^{10}$
$\mathrm{Nm}^{-2}$ and Bulk modulus $=11 \times 10^{10} \mathrm{Nm}^{-2}$, its Poisson's ratio is

1 0.1
2 0.2
3 0.3
4 0.4
Mechanical Properties of Solids

141128 When a wire of length $10 \mathrm{~m}$ is subjected to a force of $100 \mathrm{~N}$ along its length, the lateral strain produced is $0.01 \times 10^{-3}$. The Poisson's ratio was found to be 0.4 . If the area of cross-section of wire is $0.025 \mathrm{~m}^{2}$, its Young's modulus is

1 $1.6 \times 10^{8} \mathrm{Nm}^{-2}$
2 $2.5 \times 10^{10} \mathrm{Nm}^{-2}$
3 $1.26 \times 10^{11} \mathrm{Nm}^{-2}$
4 $16 \times 10^{9} \mathrm{Nm}^{-2}$
Mechanical Properties of Solids

141129 When a wire is subjected to a force along its length, its length increases by $0.4 \%$ and its radius decreases by $0.2 \%$. Then the Poisson's ratio of the material of the wire is.

1 0.8
2 0.5
3 0.2
4 0.1
Mechanical Properties of Solids

141124 A material has Poisson's ratio 0.50. If a uniform rod of it suffers a longitudinal strain of $2 \times 10^{-3}$, then the percentage change in volume is

1 0.6
2 0.4
3 0.2
4 zero
Mechanical Properties of Solids

141125 The Poisson's ratio of a material is 0.5 . If a force is applied to a wire of this material, there is a decrease in the cross-sectional area by $4 \%$. The percentage increase in the length is

1 $1 \%$
2 $2 \%$
3 $2.5 \%$
4 $4 \%$
Mechanical Properties of Solids

141126 If for a material Young's modulus $=6.6 \times 10^{10}$
$\mathrm{Nm}^{-2}$ and Bulk modulus $=11 \times 10^{10} \mathrm{Nm}^{-2}$, its Poisson's ratio is

1 0.1
2 0.2
3 0.3
4 0.4
Mechanical Properties of Solids

141128 When a wire of length $10 \mathrm{~m}$ is subjected to a force of $100 \mathrm{~N}$ along its length, the lateral strain produced is $0.01 \times 10^{-3}$. The Poisson's ratio was found to be 0.4 . If the area of cross-section of wire is $0.025 \mathrm{~m}^{2}$, its Young's modulus is

1 $1.6 \times 10^{8} \mathrm{Nm}^{-2}$
2 $2.5 \times 10^{10} \mathrm{Nm}^{-2}$
3 $1.26 \times 10^{11} \mathrm{Nm}^{-2}$
4 $16 \times 10^{9} \mathrm{Nm}^{-2}$
Mechanical Properties of Solids

141129 When a wire is subjected to a force along its length, its length increases by $0.4 \%$ and its radius decreases by $0.2 \%$. Then the Poisson's ratio of the material of the wire is.

1 0.8
2 0.5
3 0.2
4 0.1