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

141109 Choose the correct relationship between Poisson ratio $(\sigma)$, Bulk modulus $(K)$ and modulus of rigidity $(\eta)$ of given solid object:

1 $\sigma=\frac{3 K+2 \eta}{6 K+2 \eta}$
2 $\sigma=\frac{6 K-2 \eta}{3 K-2 \eta}$
3 $\sigma=\frac{3 K-2 \eta}{6 K+2 \eta}$
4 $\sigma=\frac{6 K-2 \eta}{3 K-2 \eta}$
Shift-I]
Mechanical Properties of Solids

141110 A horizontal aluminium rod of diameter $4 \mathrm{~cm}$ projected $6 \mathrm{~cm}$ from a wall. An object of mass $400 \pi \mathrm{kg}$ is suspended from the end of the rod. The shearing modulus of aluminium is $3.0 \times$ $10^{10} \mathrm{~N} / \mathrm{m}^{2}$. The vertical deflection of the end of the $\operatorname{rod}$ is $\left(\because g=10 \mathrm{~m} / \mathrm{s}^{2}\right)$

1 $0.01 \mathrm{~mm}$
2 $0.02 \mathrm{~mm}$
3 $0.03 \mathrm{~mm}$
4 $0.04 \mathrm{~mm}$
Shift-1]
Mechanical Properties of Solids

141111 Two wires of equal lengths are made of the same material. Wire A has a diameter that is twice as that of wire $B$. If identical weights are suspended from the ends of these wires, the increase in length is

1 four times for wire $\mathrm{A}$ as for wire $\mathrm{B}$
2 twice for wire $\mathrm{A}$ as for wire $\mathrm{B}$
3 half for wire $\mathrm{A}$ as for wire $\mathrm{B}$
4 one-fourth for wire A as for wire B
AIIMS-27.05.2018(M)
Mechanical Properties of Solids

141112 One end of a wire $8 \mathrm{~mm}$ radius and $100 \mathrm{~cm}$ length is fixed and the other end is twisted through an angle of $45^{\circ}$, The angle of shear is

1 $0.36^{\circ}$
2 $0.12^{\circ}$
3 $3.6^{\circ}$
4 $1.2^{\circ}$
Shift-I]
Mechanical Properties of Solids

141113 The Poisson's ratio of a material is 0.1. If the longitudinal strain of a rod of this material is $10^{-3}$, then the percentage changes in the volume of the rod will be

1 $0.008 \%$
2 $0.08 \%$
3 $0.8 \%$
4 $8 \%$
COMEDK 2020
NEET DIGITAL LIBRARY
Mechanical Properties of Solids

141109 Choose the correct relationship between Poisson ratio $(\sigma)$, Bulk modulus $(K)$ and modulus of rigidity $(\eta)$ of given solid object:

1 $\sigma=\frac{3 K+2 \eta}{6 K+2 \eta}$
2 $\sigma=\frac{6 K-2 \eta}{3 K-2 \eta}$
3 $\sigma=\frac{3 K-2 \eta}{6 K+2 \eta}$
4 $\sigma=\frac{6 K-2 \eta}{3 K-2 \eta}$
Shift-I]
Mechanical Properties of Solids

141110 A horizontal aluminium rod of diameter $4 \mathrm{~cm}$ projected $6 \mathrm{~cm}$ from a wall. An object of mass $400 \pi \mathrm{kg}$ is suspended from the end of the rod. The shearing modulus of aluminium is $3.0 \times$ $10^{10} \mathrm{~N} / \mathrm{m}^{2}$. The vertical deflection of the end of the $\operatorname{rod}$ is $\left(\because g=10 \mathrm{~m} / \mathrm{s}^{2}\right)$

1 $0.01 \mathrm{~mm}$
2 $0.02 \mathrm{~mm}$
3 $0.03 \mathrm{~mm}$
4 $0.04 \mathrm{~mm}$
Shift-1]
Mechanical Properties of Solids

141111 Two wires of equal lengths are made of the same material. Wire A has a diameter that is twice as that of wire $B$. If identical weights are suspended from the ends of these wires, the increase in length is

1 four times for wire $\mathrm{A}$ as for wire $\mathrm{B}$
2 twice for wire $\mathrm{A}$ as for wire $\mathrm{B}$
3 half for wire $\mathrm{A}$ as for wire $\mathrm{B}$
4 one-fourth for wire A as for wire B
AIIMS-27.05.2018(M)
Mechanical Properties of Solids

141112 One end of a wire $8 \mathrm{~mm}$ radius and $100 \mathrm{~cm}$ length is fixed and the other end is twisted through an angle of $45^{\circ}$, The angle of shear is

1 $0.36^{\circ}$
2 $0.12^{\circ}$
3 $3.6^{\circ}$
4 $1.2^{\circ}$
Shift-I]
Mechanical Properties of Solids

141113 The Poisson's ratio of a material is 0.1. If the longitudinal strain of a rod of this material is $10^{-3}$, then the percentage changes in the volume of the rod will be

1 $0.008 \%$
2 $0.08 \%$
3 $0.8 \%$
4 $8 \%$
COMEDK 2020
Join With Us for More Updates
Mechanical Properties of Solids

141109 Choose the correct relationship between Poisson ratio $(\sigma)$, Bulk modulus $(K)$ and modulus of rigidity $(\eta)$ of given solid object:

1 $\sigma=\frac{3 K+2 \eta}{6 K+2 \eta}$
2 $\sigma=\frac{6 K-2 \eta}{3 K-2 \eta}$
3 $\sigma=\frac{3 K-2 \eta}{6 K+2 \eta}$
4 $\sigma=\frac{6 K-2 \eta}{3 K-2 \eta}$
Shift-I]
Mechanical Properties of Solids

141110 A horizontal aluminium rod of diameter $4 \mathrm{~cm}$ projected $6 \mathrm{~cm}$ from a wall. An object of mass $400 \pi \mathrm{kg}$ is suspended from the end of the rod. The shearing modulus of aluminium is $3.0 \times$ $10^{10} \mathrm{~N} / \mathrm{m}^{2}$. The vertical deflection of the end of the $\operatorname{rod}$ is $\left(\because g=10 \mathrm{~m} / \mathrm{s}^{2}\right)$

1 $0.01 \mathrm{~mm}$
2 $0.02 \mathrm{~mm}$
3 $0.03 \mathrm{~mm}$
4 $0.04 \mathrm{~mm}$
Shift-1]
Mechanical Properties of Solids

141111 Two wires of equal lengths are made of the same material. Wire A has a diameter that is twice as that of wire $B$. If identical weights are suspended from the ends of these wires, the increase in length is

1 four times for wire $\mathrm{A}$ as for wire $\mathrm{B}$
2 twice for wire $\mathrm{A}$ as for wire $\mathrm{B}$
3 half for wire $\mathrm{A}$ as for wire $\mathrm{B}$
4 one-fourth for wire A as for wire B
AIIMS-27.05.2018(M)
Mechanical Properties of Solids

141112 One end of a wire $8 \mathrm{~mm}$ radius and $100 \mathrm{~cm}$ length is fixed and the other end is twisted through an angle of $45^{\circ}$, The angle of shear is

1 $0.36^{\circ}$
2 $0.12^{\circ}$
3 $3.6^{\circ}$
4 $1.2^{\circ}$
Shift-I]
Mechanical Properties of Solids

141113 The Poisson's ratio of a material is 0.1. If the longitudinal strain of a rod of this material is $10^{-3}$, then the percentage changes in the volume of the rod will be

1 $0.008 \%$
2 $0.08 \%$
3 $0.8 \%$
4 $8 \%$
COMEDK 2020
For More Updates join with Us
Mechanical Properties of Solids

141109 Choose the correct relationship between Poisson ratio $(\sigma)$, Bulk modulus $(K)$ and modulus of rigidity $(\eta)$ of given solid object:

1 $\sigma=\frac{3 K+2 \eta}{6 K+2 \eta}$
2 $\sigma=\frac{6 K-2 \eta}{3 K-2 \eta}$
3 $\sigma=\frac{3 K-2 \eta}{6 K+2 \eta}$
4 $\sigma=\frac{6 K-2 \eta}{3 K-2 \eta}$
Shift-I]
Mechanical Properties of Solids

141110 A horizontal aluminium rod of diameter $4 \mathrm{~cm}$ projected $6 \mathrm{~cm}$ from a wall. An object of mass $400 \pi \mathrm{kg}$ is suspended from the end of the rod. The shearing modulus of aluminium is $3.0 \times$ $10^{10} \mathrm{~N} / \mathrm{m}^{2}$. The vertical deflection of the end of the $\operatorname{rod}$ is $\left(\because g=10 \mathrm{~m} / \mathrm{s}^{2}\right)$

1 $0.01 \mathrm{~mm}$
2 $0.02 \mathrm{~mm}$
3 $0.03 \mathrm{~mm}$
4 $0.04 \mathrm{~mm}$
Shift-1]
Mechanical Properties of Solids

141111 Two wires of equal lengths are made of the same material. Wire A has a diameter that is twice as that of wire $B$. If identical weights are suspended from the ends of these wires, the increase in length is

1 four times for wire $\mathrm{A}$ as for wire $\mathrm{B}$
2 twice for wire $\mathrm{A}$ as for wire $\mathrm{B}$
3 half for wire $\mathrm{A}$ as for wire $\mathrm{B}$
4 one-fourth for wire A as for wire B
AIIMS-27.05.2018(M)
Mechanical Properties of Solids

141112 One end of a wire $8 \mathrm{~mm}$ radius and $100 \mathrm{~cm}$ length is fixed and the other end is twisted through an angle of $45^{\circ}$, The angle of shear is

1 $0.36^{\circ}$
2 $0.12^{\circ}$
3 $3.6^{\circ}$
4 $1.2^{\circ}$
Shift-I]
Mechanical Properties of Solids

141113 The Poisson's ratio of a material is 0.1. If the longitudinal strain of a rod of this material is $10^{-3}$, then the percentage changes in the volume of the rod will be

1 $0.008 \%$
2 $0.08 \%$
3 $0.8 \%$
4 $8 \%$
COMEDK 2020
NEET DIGITAL LIBRARY
Mechanical Properties of Solids

141109 Choose the correct relationship between Poisson ratio $(\sigma)$, Bulk modulus $(K)$ and modulus of rigidity $(\eta)$ of given solid object:

1 $\sigma=\frac{3 K+2 \eta}{6 K+2 \eta}$
2 $\sigma=\frac{6 K-2 \eta}{3 K-2 \eta}$
3 $\sigma=\frac{3 K-2 \eta}{6 K+2 \eta}$
4 $\sigma=\frac{6 K-2 \eta}{3 K-2 \eta}$
Shift-I]
Mechanical Properties of Solids

141110 A horizontal aluminium rod of diameter $4 \mathrm{~cm}$ projected $6 \mathrm{~cm}$ from a wall. An object of mass $400 \pi \mathrm{kg}$ is suspended from the end of the rod. The shearing modulus of aluminium is $3.0 \times$ $10^{10} \mathrm{~N} / \mathrm{m}^{2}$. The vertical deflection of the end of the $\operatorname{rod}$ is $\left(\because g=10 \mathrm{~m} / \mathrm{s}^{2}\right)$

1 $0.01 \mathrm{~mm}$
2 $0.02 \mathrm{~mm}$
3 $0.03 \mathrm{~mm}$
4 $0.04 \mathrm{~mm}$
Shift-1]
Mechanical Properties of Solids

141111 Two wires of equal lengths are made of the same material. Wire A has a diameter that is twice as that of wire $B$. If identical weights are suspended from the ends of these wires, the increase in length is

1 four times for wire $\mathrm{A}$ as for wire $\mathrm{B}$
2 twice for wire $\mathrm{A}$ as for wire $\mathrm{B}$
3 half for wire $\mathrm{A}$ as for wire $\mathrm{B}$
4 one-fourth for wire A as for wire B
AIIMS-27.05.2018(M)
Mechanical Properties of Solids

141112 One end of a wire $8 \mathrm{~mm}$ radius and $100 \mathrm{~cm}$ length is fixed and the other end is twisted through an angle of $45^{\circ}$, The angle of shear is

1 $0.36^{\circ}$
2 $0.12^{\circ}$
3 $3.6^{\circ}$
4 $1.2^{\circ}$
Shift-I]
Mechanical Properties of Solids

141113 The Poisson's ratio of a material is 0.1. If the longitudinal strain of a rod of this material is $10^{-3}$, then the percentage changes in the volume of the rod will be

1 $0.008 \%$
2 $0.08 \%$
3 $0.8 \%$
4 $8 \%$
COMEDK 2020