00. Elasticity, Stress, Strain and Hooke's law
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Mechanical Properties of Solids

140867 A uniform rod of length $L$ is rotated in a horizontal plane about a vertical axis through one of its ends. The angular speed of rotation is $\omega$. Find increase in length of the rod, if $\rho$ and $Y$ are the density and Young's modulus of the rod respectively.

1 $\frac{\rho \omega^{3} Y}{4 L^{2}}$
2 $\frac{4 \rho \omega^{2} \mathrm{~L}^{3}}{3 \mathrm{Y}}$
3 $\frac{\rho \omega^{2} L^{3}}{3 Y}$
4 $\frac{\rho \omega^{3} L^{3}}{8 \mathrm{Y}}$
Shift-2]
Mechanical Properties of Solids

140868 A copper wire of cross-sectional are $0.01 \mathrm{~cm}^{2}$ is under a tension of $22 \mathrm{~N}$. Find the percentage change in the cross-sectional area. (Young's modulus of copper $=1.1 \times 10^{11} \mathrm{~N} / \mathrm{m}^{2}$ and Poisson's ratio $=\mathbf{0 . 3 2}$ )

1 $12.6 \times 10^{-3}$
2 $8.6 \times 10^{-3}$
3 $6.4 \times 10^{-3}$
4 $2.8 \times 10^{-3}$
Shift-2]
Mechanical Properties of Solids

140869 A $2 \mathrm{~m}$ long rod of radius $1 \mathrm{~cm}$ which is fixed from one end is given a twist of 0.8 radians. The shear strain developed will be

1 0.002
2 0.004
3 0.008
4 0.016
AIIMS-26.05.2019(M)] Shift-1
Mechanical Properties of Solids

140870 $A$ and $B$ are two wires. The radius of $A$ is twice that of $B$. They are stretched by the same load. Then the stress on $B$ is

1 equal to that on $\mathrm{A}$
2 four times that on $\mathrm{A}$
3 two times that on $\mathrm{A}$
4 half that on A
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Mechanical Properties of Solids

140867 A uniform rod of length $L$ is rotated in a horizontal plane about a vertical axis through one of its ends. The angular speed of rotation is $\omega$. Find increase in length of the rod, if $\rho$ and $Y$ are the density and Young's modulus of the rod respectively.

1 $\frac{\rho \omega^{3} Y}{4 L^{2}}$
2 $\frac{4 \rho \omega^{2} \mathrm{~L}^{3}}{3 \mathrm{Y}}$
3 $\frac{\rho \omega^{2} L^{3}}{3 Y}$
4 $\frac{\rho \omega^{3} L^{3}}{8 \mathrm{Y}}$
Shift-2]
Mechanical Properties of Solids

140868 A copper wire of cross-sectional are $0.01 \mathrm{~cm}^{2}$ is under a tension of $22 \mathrm{~N}$. Find the percentage change in the cross-sectional area. (Young's modulus of copper $=1.1 \times 10^{11} \mathrm{~N} / \mathrm{m}^{2}$ and Poisson's ratio $=\mathbf{0 . 3 2}$ )

1 $12.6 \times 10^{-3}$
2 $8.6 \times 10^{-3}$
3 $6.4 \times 10^{-3}$
4 $2.8 \times 10^{-3}$
Shift-2]
Mechanical Properties of Solids

140869 A $2 \mathrm{~m}$ long rod of radius $1 \mathrm{~cm}$ which is fixed from one end is given a twist of 0.8 radians. The shear strain developed will be

1 0.002
2 0.004
3 0.008
4 0.016
AIIMS-26.05.2019(M)] Shift-1
Mechanical Properties of Solids

140870 $A$ and $B$ are two wires. The radius of $A$ is twice that of $B$. They are stretched by the same load. Then the stress on $B$ is

1 equal to that on $\mathrm{A}$
2 four times that on $\mathrm{A}$
3 two times that on $\mathrm{A}$
4 half that on A
VITEEE-2019
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NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
Mechanical Properties of Solids

140867 A uniform rod of length $L$ is rotated in a horizontal plane about a vertical axis through one of its ends. The angular speed of rotation is $\omega$. Find increase in length of the rod, if $\rho$ and $Y$ are the density and Young's modulus of the rod respectively.

1 $\frac{\rho \omega^{3} Y}{4 L^{2}}$
2 $\frac{4 \rho \omega^{2} \mathrm{~L}^{3}}{3 \mathrm{Y}}$
3 $\frac{\rho \omega^{2} L^{3}}{3 Y}$
4 $\frac{\rho \omega^{3} L^{3}}{8 \mathrm{Y}}$
Shift-2]
Mechanical Properties of Solids

140868 A copper wire of cross-sectional are $0.01 \mathrm{~cm}^{2}$ is under a tension of $22 \mathrm{~N}$. Find the percentage change in the cross-sectional area. (Young's modulus of copper $=1.1 \times 10^{11} \mathrm{~N} / \mathrm{m}^{2}$ and Poisson's ratio $=\mathbf{0 . 3 2}$ )

1 $12.6 \times 10^{-3}$
2 $8.6 \times 10^{-3}$
3 $6.4 \times 10^{-3}$
4 $2.8 \times 10^{-3}$
Shift-2]
Mechanical Properties of Solids

140869 A $2 \mathrm{~m}$ long rod of radius $1 \mathrm{~cm}$ which is fixed from one end is given a twist of 0.8 radians. The shear strain developed will be

1 0.002
2 0.004
3 0.008
4 0.016
AIIMS-26.05.2019(M)] Shift-1
Mechanical Properties of Solids

140870 $A$ and $B$ are two wires. The radius of $A$ is twice that of $B$. They are stretched by the same load. Then the stress on $B$ is

1 equal to that on $\mathrm{A}$
2 four times that on $\mathrm{A}$
3 two times that on $\mathrm{A}$
4 half that on A
VITEEE-2019
NEET DIGITAL LIBRARY
Mechanical Properties of Solids

140867 A uniform rod of length $L$ is rotated in a horizontal plane about a vertical axis through one of its ends. The angular speed of rotation is $\omega$. Find increase in length of the rod, if $\rho$ and $Y$ are the density and Young's modulus of the rod respectively.

1 $\frac{\rho \omega^{3} Y}{4 L^{2}}$
2 $\frac{4 \rho \omega^{2} \mathrm{~L}^{3}}{3 \mathrm{Y}}$
3 $\frac{\rho \omega^{2} L^{3}}{3 Y}$
4 $\frac{\rho \omega^{3} L^{3}}{8 \mathrm{Y}}$
Shift-2]
Mechanical Properties of Solids

140868 A copper wire of cross-sectional are $0.01 \mathrm{~cm}^{2}$ is under a tension of $22 \mathrm{~N}$. Find the percentage change in the cross-sectional area. (Young's modulus of copper $=1.1 \times 10^{11} \mathrm{~N} / \mathrm{m}^{2}$ and Poisson's ratio $=\mathbf{0 . 3 2}$ )

1 $12.6 \times 10^{-3}$
2 $8.6 \times 10^{-3}$
3 $6.4 \times 10^{-3}$
4 $2.8 \times 10^{-3}$
Shift-2]
Mechanical Properties of Solids

140869 A $2 \mathrm{~m}$ long rod of radius $1 \mathrm{~cm}$ which is fixed from one end is given a twist of 0.8 radians. The shear strain developed will be

1 0.002
2 0.004
3 0.008
4 0.016
AIIMS-26.05.2019(M)] Shift-1
Mechanical Properties of Solids

140870 $A$ and $B$ are two wires. The radius of $A$ is twice that of $B$. They are stretched by the same load. Then the stress on $B$ is

1 equal to that on $\mathrm{A}$
2 four times that on $\mathrm{A}$
3 two times that on $\mathrm{A}$
4 half that on A
VITEEE-2019
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