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

141130 A metal cube of side length $8 \mathrm{~cm}$ has its upper surface displaced with respect to the bottom by $0.10 \mathrm{~mm}$. When a tangential force of $4 \times 10^{9} \mathrm{~N}$ is applied at the top with bottom surface fixed. The rigidity modulus of the material of the cube is:

1 $4 \times 10^{9} \mathrm{~N} / \mathrm{m}^{2}$
2 $5 \times 10^{14} \mathrm{~N} / \mathrm{m}^{2}$
3 $8 \times 10^{9} \mathrm{~N} / \mathrm{m}^{2}$
4 $10^{8} \mathrm{~N} / \mathrm{m}^{2}$
Mechanical Properties of Solids

141131 The height of a mountain is $\mathrm{H}$ and the density of its rock is $3 \times 10^{3} \mathrm{~kg} / \mathrm{m}^{3}$. If the elastic limit of the rock is $3 \times 10^{8} \mathrm{~N} / \mathrm{m}^{2}$, find the height of the mountain

1 $50 \mathrm{~km}$
2 $30 \mathrm{~km}$
3 $8 \mathrm{~km}$
4 $10 \mathrm{~km}$
Mechanical Properties of Solids

141132 A tension of $20 \mathrm{~N}$ is applied to a copper wire of cross sectional area $0.01 \mathrm{~cm}^{2}$, Young's modulus of copper is $1.1 \times 10^{11} \mathrm{~N} / \mathrm{m}^{2}$ and Poisson's ratio is 0.32. The decrease in cross sectional area of the wire is

1 $1.16 \times 10^{-6} \mathrm{~cm}^{2}$
2 $1.16 \times 10^{-5} \mathrm{~m}^{2}$
3 $1.16 \times 10^{-4} \mathrm{~m}^{2}$
4 $1.16 \times 10^{-3} \mathrm{~cm}^{2}$
Mechanical Properties of Solids

141122 Shear modulus is zero for

1 solids
2 liquids
3 gases
4 liquids and gases
Mechanical Properties of Solids

141130 A metal cube of side length $8 \mathrm{~cm}$ has its upper surface displaced with respect to the bottom by $0.10 \mathrm{~mm}$. When a tangential force of $4 \times 10^{9} \mathrm{~N}$ is applied at the top with bottom surface fixed. The rigidity modulus of the material of the cube is:

1 $4 \times 10^{9} \mathrm{~N} / \mathrm{m}^{2}$
2 $5 \times 10^{14} \mathrm{~N} / \mathrm{m}^{2}$
3 $8 \times 10^{9} \mathrm{~N} / \mathrm{m}^{2}$
4 $10^{8} \mathrm{~N} / \mathrm{m}^{2}$
Mechanical Properties of Solids

141131 The height of a mountain is $\mathrm{H}$ and the density of its rock is $3 \times 10^{3} \mathrm{~kg} / \mathrm{m}^{3}$. If the elastic limit of the rock is $3 \times 10^{8} \mathrm{~N} / \mathrm{m}^{2}$, find the height of the mountain

1 $50 \mathrm{~km}$
2 $30 \mathrm{~km}$
3 $8 \mathrm{~km}$
4 $10 \mathrm{~km}$
Mechanical Properties of Solids

141132 A tension of $20 \mathrm{~N}$ is applied to a copper wire of cross sectional area $0.01 \mathrm{~cm}^{2}$, Young's modulus of copper is $1.1 \times 10^{11} \mathrm{~N} / \mathrm{m}^{2}$ and Poisson's ratio is 0.32. The decrease in cross sectional area of the wire is

1 $1.16 \times 10^{-6} \mathrm{~cm}^{2}$
2 $1.16 \times 10^{-5} \mathrm{~m}^{2}$
3 $1.16 \times 10^{-4} \mathrm{~m}^{2}$
4 $1.16 \times 10^{-3} \mathrm{~cm}^{2}$
Mechanical Properties of Solids

141122 Shear modulus is zero for

1 solids
2 liquids
3 gases
4 liquids and gases
Mechanical Properties of Solids

141130 A metal cube of side length $8 \mathrm{~cm}$ has its upper surface displaced with respect to the bottom by $0.10 \mathrm{~mm}$. When a tangential force of $4 \times 10^{9} \mathrm{~N}$ is applied at the top with bottom surface fixed. The rigidity modulus of the material of the cube is:

1 $4 \times 10^{9} \mathrm{~N} / \mathrm{m}^{2}$
2 $5 \times 10^{14} \mathrm{~N} / \mathrm{m}^{2}$
3 $8 \times 10^{9} \mathrm{~N} / \mathrm{m}^{2}$
4 $10^{8} \mathrm{~N} / \mathrm{m}^{2}$
Mechanical Properties of Solids

141131 The height of a mountain is $\mathrm{H}$ and the density of its rock is $3 \times 10^{3} \mathrm{~kg} / \mathrm{m}^{3}$. If the elastic limit of the rock is $3 \times 10^{8} \mathrm{~N} / \mathrm{m}^{2}$, find the height of the mountain

1 $50 \mathrm{~km}$
2 $30 \mathrm{~km}$
3 $8 \mathrm{~km}$
4 $10 \mathrm{~km}$
Mechanical Properties of Solids

141132 A tension of $20 \mathrm{~N}$ is applied to a copper wire of cross sectional area $0.01 \mathrm{~cm}^{2}$, Young's modulus of copper is $1.1 \times 10^{11} \mathrm{~N} / \mathrm{m}^{2}$ and Poisson's ratio is 0.32. The decrease in cross sectional area of the wire is

1 $1.16 \times 10^{-6} \mathrm{~cm}^{2}$
2 $1.16 \times 10^{-5} \mathrm{~m}^{2}$
3 $1.16 \times 10^{-4} \mathrm{~m}^{2}$
4 $1.16 \times 10^{-3} \mathrm{~cm}^{2}$
Mechanical Properties of Solids

141122 Shear modulus is zero for

1 solids
2 liquids
3 gases
4 liquids and gases
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
Mechanical Properties of Solids

141130 A metal cube of side length $8 \mathrm{~cm}$ has its upper surface displaced with respect to the bottom by $0.10 \mathrm{~mm}$. When a tangential force of $4 \times 10^{9} \mathrm{~N}$ is applied at the top with bottom surface fixed. The rigidity modulus of the material of the cube is:

1 $4 \times 10^{9} \mathrm{~N} / \mathrm{m}^{2}$
2 $5 \times 10^{14} \mathrm{~N} / \mathrm{m}^{2}$
3 $8 \times 10^{9} \mathrm{~N} / \mathrm{m}^{2}$
4 $10^{8} \mathrm{~N} / \mathrm{m}^{2}$
Mechanical Properties of Solids

141131 The height of a mountain is $\mathrm{H}$ and the density of its rock is $3 \times 10^{3} \mathrm{~kg} / \mathrm{m}^{3}$. If the elastic limit of the rock is $3 \times 10^{8} \mathrm{~N} / \mathrm{m}^{2}$, find the height of the mountain

1 $50 \mathrm{~km}$
2 $30 \mathrm{~km}$
3 $8 \mathrm{~km}$
4 $10 \mathrm{~km}$
Mechanical Properties of Solids

141132 A tension of $20 \mathrm{~N}$ is applied to a copper wire of cross sectional area $0.01 \mathrm{~cm}^{2}$, Young's modulus of copper is $1.1 \times 10^{11} \mathrm{~N} / \mathrm{m}^{2}$ and Poisson's ratio is 0.32. The decrease in cross sectional area of the wire is

1 $1.16 \times 10^{-6} \mathrm{~cm}^{2}$
2 $1.16 \times 10^{-5} \mathrm{~m}^{2}$
3 $1.16 \times 10^{-4} \mathrm{~m}^{2}$
4 $1.16 \times 10^{-3} \mathrm{~cm}^{2}$
Mechanical Properties of Solids

141122 Shear modulus is zero for

1 solids
2 liquids
3 gases
4 liquids and gases