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

140871 When a block of mass $M$ is suspended by a long wire of length $L$, the length of the wire becomes $(L+l)$. The elastic potential energy stored in the extended wire is

1 $\mathrm{MgL}$
2 $\frac{1}{2} \mathrm{Mg} l$
3 $\frac{1}{2} \mathrm{MgL}$
4 $\mathrm{Mgl}$
Mechanical Properties of Solids

140872 If compressibility of material is $4 \times 10^{-5}$ per atm. pressure is $100 \mathrm{~atm}$ and volume is $100 \mathrm{~cm}^{3}$, then find $\Delta V=$ ?

1 $0.4 \mathrm{~cm}^{3}$
2 $0.8 \mathrm{~cm}^{3}$
3 $0.6 \mathrm{~cm}^{3}$
4 $0.2 \mathrm{~cm}^{3}$
Mechanical Properties of Solids

140873 A steel wire of length $1 \mathrm{~m}$, mass $0.1 \mathrm{~kg}$ and uniform area of cross section $10^{-6} \mathrm{~m}^{2}$ is rigidly fixed at both the ends without any tension. Its temperature is lowered by $20^{\circ} \mathrm{C}$ and transverse waves are set up by plucking the wire at the middle. The frequency of the fundamental mode is
$\left(\mathrm{Y}=200 \mathrm{GPa}, \alpha=1.21 \times 10^{-5}{ }^{\circ} \mathrm{C}^{-1}\right. \text { ) }$

1 $21 \mathrm{~Hz}$
2 $42 \mathrm{~Hz}$
3 $11 \mathrm{~Hz}$
4 $22 \mathrm{~Hz}$
Mechanical Properties of Solids

140874 A rubber cube of side $5 \mathrm{~cm}$ has one face fixed, while a tangential force, $1800 \mathrm{~N}$ is applied on its opposite face. If modulus of rigidity of rubber is $2.4 \times 10^{6} \mathrm{Nm}^{-2}$, then the lateral displacement of the strained face is

1 $3 \mathrm{~mm}$
2 $5 \mathrm{~mm}$
3 $15 \mathrm{~mm}$
4 $1.5 \mathrm{~mm}$
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
Mechanical Properties of Solids

140871 When a block of mass $M$ is suspended by a long wire of length $L$, the length of the wire becomes $(L+l)$. The elastic potential energy stored in the extended wire is

1 $\mathrm{MgL}$
2 $\frac{1}{2} \mathrm{Mg} l$
3 $\frac{1}{2} \mathrm{MgL}$
4 $\mathrm{Mgl}$
Mechanical Properties of Solids

140872 If compressibility of material is $4 \times 10^{-5}$ per atm. pressure is $100 \mathrm{~atm}$ and volume is $100 \mathrm{~cm}^{3}$, then find $\Delta V=$ ?

1 $0.4 \mathrm{~cm}^{3}$
2 $0.8 \mathrm{~cm}^{3}$
3 $0.6 \mathrm{~cm}^{3}$
4 $0.2 \mathrm{~cm}^{3}$
Mechanical Properties of Solids

140873 A steel wire of length $1 \mathrm{~m}$, mass $0.1 \mathrm{~kg}$ and uniform area of cross section $10^{-6} \mathrm{~m}^{2}$ is rigidly fixed at both the ends without any tension. Its temperature is lowered by $20^{\circ} \mathrm{C}$ and transverse waves are set up by plucking the wire at the middle. The frequency of the fundamental mode is
$\left(\mathrm{Y}=200 \mathrm{GPa}, \alpha=1.21 \times 10^{-5}{ }^{\circ} \mathrm{C}^{-1}\right. \text { ) }$

1 $21 \mathrm{~Hz}$
2 $42 \mathrm{~Hz}$
3 $11 \mathrm{~Hz}$
4 $22 \mathrm{~Hz}$
Mechanical Properties of Solids

140874 A rubber cube of side $5 \mathrm{~cm}$ has one face fixed, while a tangential force, $1800 \mathrm{~N}$ is applied on its opposite face. If modulus of rigidity of rubber is $2.4 \times 10^{6} \mathrm{Nm}^{-2}$, then the lateral displacement of the strained face is

1 $3 \mathrm{~mm}$
2 $5 \mathrm{~mm}$
3 $15 \mathrm{~mm}$
4 $1.5 \mathrm{~mm}$
Mechanical Properties of Solids

140871 When a block of mass $M$ is suspended by a long wire of length $L$, the length of the wire becomes $(L+l)$. The elastic potential energy stored in the extended wire is

1 $\mathrm{MgL}$
2 $\frac{1}{2} \mathrm{Mg} l$
3 $\frac{1}{2} \mathrm{MgL}$
4 $\mathrm{Mgl}$
Mechanical Properties of Solids

140872 If compressibility of material is $4 \times 10^{-5}$ per atm. pressure is $100 \mathrm{~atm}$ and volume is $100 \mathrm{~cm}^{3}$, then find $\Delta V=$ ?

1 $0.4 \mathrm{~cm}^{3}$
2 $0.8 \mathrm{~cm}^{3}$
3 $0.6 \mathrm{~cm}^{3}$
4 $0.2 \mathrm{~cm}^{3}$
Mechanical Properties of Solids

140873 A steel wire of length $1 \mathrm{~m}$, mass $0.1 \mathrm{~kg}$ and uniform area of cross section $10^{-6} \mathrm{~m}^{2}$ is rigidly fixed at both the ends without any tension. Its temperature is lowered by $20^{\circ} \mathrm{C}$ and transverse waves are set up by plucking the wire at the middle. The frequency of the fundamental mode is
$\left(\mathrm{Y}=200 \mathrm{GPa}, \alpha=1.21 \times 10^{-5}{ }^{\circ} \mathrm{C}^{-1}\right. \text { ) }$

1 $21 \mathrm{~Hz}$
2 $42 \mathrm{~Hz}$
3 $11 \mathrm{~Hz}$
4 $22 \mathrm{~Hz}$
Mechanical Properties of Solids

140874 A rubber cube of side $5 \mathrm{~cm}$ has one face fixed, while a tangential force, $1800 \mathrm{~N}$ is applied on its opposite face. If modulus of rigidity of rubber is $2.4 \times 10^{6} \mathrm{Nm}^{-2}$, then the lateral displacement of the strained face is

1 $3 \mathrm{~mm}$
2 $5 \mathrm{~mm}$
3 $15 \mathrm{~mm}$
4 $1.5 \mathrm{~mm}$
Mechanical Properties of Solids

140871 When a block of mass $M$ is suspended by a long wire of length $L$, the length of the wire becomes $(L+l)$. The elastic potential energy stored in the extended wire is

1 $\mathrm{MgL}$
2 $\frac{1}{2} \mathrm{Mg} l$
3 $\frac{1}{2} \mathrm{MgL}$
4 $\mathrm{Mgl}$
Mechanical Properties of Solids

140872 If compressibility of material is $4 \times 10^{-5}$ per atm. pressure is $100 \mathrm{~atm}$ and volume is $100 \mathrm{~cm}^{3}$, then find $\Delta V=$ ?

1 $0.4 \mathrm{~cm}^{3}$
2 $0.8 \mathrm{~cm}^{3}$
3 $0.6 \mathrm{~cm}^{3}$
4 $0.2 \mathrm{~cm}^{3}$
Mechanical Properties of Solids

140873 A steel wire of length $1 \mathrm{~m}$, mass $0.1 \mathrm{~kg}$ and uniform area of cross section $10^{-6} \mathrm{~m}^{2}$ is rigidly fixed at both the ends without any tension. Its temperature is lowered by $20^{\circ} \mathrm{C}$ and transverse waves are set up by plucking the wire at the middle. The frequency of the fundamental mode is
$\left(\mathrm{Y}=200 \mathrm{GPa}, \alpha=1.21 \times 10^{-5}{ }^{\circ} \mathrm{C}^{-1}\right. \text { ) }$

1 $21 \mathrm{~Hz}$
2 $42 \mathrm{~Hz}$
3 $11 \mathrm{~Hz}$
4 $22 \mathrm{~Hz}$
Mechanical Properties of Solids

140874 A rubber cube of side $5 \mathrm{~cm}$ has one face fixed, while a tangential force, $1800 \mathrm{~N}$ is applied on its opposite face. If modulus of rigidity of rubber is $2.4 \times 10^{6} \mathrm{Nm}^{-2}$, then the lateral displacement of the strained face is

1 $3 \mathrm{~mm}$
2 $5 \mathrm{~mm}$
3 $15 \mathrm{~mm}$
4 $1.5 \mathrm{~mm}$
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here