Elastic Moduli
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369715 The density of water at the surface of the ocean is \(\rho\). If the bulk modulus of water is B then, what is the density of ocean water at a depth, where the pressure is \(n P_{0},\left(P_{0}\right.\) is the atmospheric pressure)

1 \(\dfrac{\rho B}{B+(n-1) P_{0}}\)
2 \(\dfrac{\rho B}{B-(n-1) P_{0}}\)
3 \(\dfrac{\rho B}{B+n P_{0}}\)
4 \(\dfrac{\rho B}{B-n P_{0}}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369716 The density of a metal at normal pressure is \(\rho\). When it is subjected to an excess pressure \(p\), the density becomes \(\rho^{\prime}\). If \(K\) is the bulk modulus of the metal, then the ratio \(\dfrac{\rho^{\prime}}{\rho}\) is

1 \(\dfrac{1}{1-\dfrac{K}{p}}\)
2 \(1+\dfrac{K}{p}\)
3 \(\dfrac{1}{1-\dfrac{p}{K}}\)
4 \(1+\dfrac{p}{K}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369717 A rubber sphere is surrounded by a liquid in a cylindrical container. A massless piston of area \(0.05\;{m^2}\) floats on the surface of liquid covering cross-section of container completely. When a mass of \(10\;kg\) is placed on the surface of the piston to compress liquid, the fractional decrease in radius of the sphere is \(C \times {10^{ - 6}}.\) Find \(C\).
(Bulk modulus of rubber \( = {10^8}\;N/{m^2},\) \(g = 10\;m/{s^2}\))

1 3.27
2 6.67
3 9.62
4 5.67
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369718 Consider an ideal monoatomic gas of volume at pressure \(P\). The bulk modulus at constant temperature is

1 \(\dfrac{P}{2}\)
2 \(P\)
3 \(\gamma P\)
4 \(\frac{{PdP}}{{dV}}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369719 When the pressure of \(100\;atm\) is applied on a spherical ball, then its volume reduces to \(0.01 \%\). The bulk modulus of the material of the rubber in dyne \(/c{m^2}\) is

1 \(10 \times 10^{12}\)
2 \(100 \times 10^{12}\)
3 \(1 \times 10^{12}\)
4 \(20 \times 10^{12}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369715 The density of water at the surface of the ocean is \(\rho\). If the bulk modulus of water is B then, what is the density of ocean water at a depth, where the pressure is \(n P_{0},\left(P_{0}\right.\) is the atmospheric pressure)

1 \(\dfrac{\rho B}{B+(n-1) P_{0}}\)
2 \(\dfrac{\rho B}{B-(n-1) P_{0}}\)
3 \(\dfrac{\rho B}{B+n P_{0}}\)
4 \(\dfrac{\rho B}{B-n P_{0}}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369716 The density of a metal at normal pressure is \(\rho\). When it is subjected to an excess pressure \(p\), the density becomes \(\rho^{\prime}\). If \(K\) is the bulk modulus of the metal, then the ratio \(\dfrac{\rho^{\prime}}{\rho}\) is

1 \(\dfrac{1}{1-\dfrac{K}{p}}\)
2 \(1+\dfrac{K}{p}\)
3 \(\dfrac{1}{1-\dfrac{p}{K}}\)
4 \(1+\dfrac{p}{K}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369717 A rubber sphere is surrounded by a liquid in a cylindrical container. A massless piston of area \(0.05\;{m^2}\) floats on the surface of liquid covering cross-section of container completely. When a mass of \(10\;kg\) is placed on the surface of the piston to compress liquid, the fractional decrease in radius of the sphere is \(C \times {10^{ - 6}}.\) Find \(C\).
(Bulk modulus of rubber \( = {10^8}\;N/{m^2},\) \(g = 10\;m/{s^2}\))

1 3.27
2 6.67
3 9.62
4 5.67
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369718 Consider an ideal monoatomic gas of volume at pressure \(P\). The bulk modulus at constant temperature is

1 \(\dfrac{P}{2}\)
2 \(P\)
3 \(\gamma P\)
4 \(\frac{{PdP}}{{dV}}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369719 When the pressure of \(100\;atm\) is applied on a spherical ball, then its volume reduces to \(0.01 \%\). The bulk modulus of the material of the rubber in dyne \(/c{m^2}\) is

1 \(10 \times 10^{12}\)
2 \(100 \times 10^{12}\)
3 \(1 \times 10^{12}\)
4 \(20 \times 10^{12}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369715 The density of water at the surface of the ocean is \(\rho\). If the bulk modulus of water is B then, what is the density of ocean water at a depth, where the pressure is \(n P_{0},\left(P_{0}\right.\) is the atmospheric pressure)

1 \(\dfrac{\rho B}{B+(n-1) P_{0}}\)
2 \(\dfrac{\rho B}{B-(n-1) P_{0}}\)
3 \(\dfrac{\rho B}{B+n P_{0}}\)
4 \(\dfrac{\rho B}{B-n P_{0}}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369716 The density of a metal at normal pressure is \(\rho\). When it is subjected to an excess pressure \(p\), the density becomes \(\rho^{\prime}\). If \(K\) is the bulk modulus of the metal, then the ratio \(\dfrac{\rho^{\prime}}{\rho}\) is

1 \(\dfrac{1}{1-\dfrac{K}{p}}\)
2 \(1+\dfrac{K}{p}\)
3 \(\dfrac{1}{1-\dfrac{p}{K}}\)
4 \(1+\dfrac{p}{K}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369717 A rubber sphere is surrounded by a liquid in a cylindrical container. A massless piston of area \(0.05\;{m^2}\) floats on the surface of liquid covering cross-section of container completely. When a mass of \(10\;kg\) is placed on the surface of the piston to compress liquid, the fractional decrease in radius of the sphere is \(C \times {10^{ - 6}}.\) Find \(C\).
(Bulk modulus of rubber \( = {10^8}\;N/{m^2},\) \(g = 10\;m/{s^2}\))

1 3.27
2 6.67
3 9.62
4 5.67
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369718 Consider an ideal monoatomic gas of volume at pressure \(P\). The bulk modulus at constant temperature is

1 \(\dfrac{P}{2}\)
2 \(P\)
3 \(\gamma P\)
4 \(\frac{{PdP}}{{dV}}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369719 When the pressure of \(100\;atm\) is applied on a spherical ball, then its volume reduces to \(0.01 \%\). The bulk modulus of the material of the rubber in dyne \(/c{m^2}\) is

1 \(10 \times 10^{12}\)
2 \(100 \times 10^{12}\)
3 \(1 \times 10^{12}\)
4 \(20 \times 10^{12}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369715 The density of water at the surface of the ocean is \(\rho\). If the bulk modulus of water is B then, what is the density of ocean water at a depth, where the pressure is \(n P_{0},\left(P_{0}\right.\) is the atmospheric pressure)

1 \(\dfrac{\rho B}{B+(n-1) P_{0}}\)
2 \(\dfrac{\rho B}{B-(n-1) P_{0}}\)
3 \(\dfrac{\rho B}{B+n P_{0}}\)
4 \(\dfrac{\rho B}{B-n P_{0}}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369716 The density of a metal at normal pressure is \(\rho\). When it is subjected to an excess pressure \(p\), the density becomes \(\rho^{\prime}\). If \(K\) is the bulk modulus of the metal, then the ratio \(\dfrac{\rho^{\prime}}{\rho}\) is

1 \(\dfrac{1}{1-\dfrac{K}{p}}\)
2 \(1+\dfrac{K}{p}\)
3 \(\dfrac{1}{1-\dfrac{p}{K}}\)
4 \(1+\dfrac{p}{K}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369717 A rubber sphere is surrounded by a liquid in a cylindrical container. A massless piston of area \(0.05\;{m^2}\) floats on the surface of liquid covering cross-section of container completely. When a mass of \(10\;kg\) is placed on the surface of the piston to compress liquid, the fractional decrease in radius of the sphere is \(C \times {10^{ - 6}}.\) Find \(C\).
(Bulk modulus of rubber \( = {10^8}\;N/{m^2},\) \(g = 10\;m/{s^2}\))

1 3.27
2 6.67
3 9.62
4 5.67
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369718 Consider an ideal monoatomic gas of volume at pressure \(P\). The bulk modulus at constant temperature is

1 \(\dfrac{P}{2}\)
2 \(P\)
3 \(\gamma P\)
4 \(\frac{{PdP}}{{dV}}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369719 When the pressure of \(100\;atm\) is applied on a spherical ball, then its volume reduces to \(0.01 \%\). The bulk modulus of the material of the rubber in dyne \(/c{m^2}\) is

1 \(10 \times 10^{12}\)
2 \(100 \times 10^{12}\)
3 \(1 \times 10^{12}\)
4 \(20 \times 10^{12}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369715 The density of water at the surface of the ocean is \(\rho\). If the bulk modulus of water is B then, what is the density of ocean water at a depth, where the pressure is \(n P_{0},\left(P_{0}\right.\) is the atmospheric pressure)

1 \(\dfrac{\rho B}{B+(n-1) P_{0}}\)
2 \(\dfrac{\rho B}{B-(n-1) P_{0}}\)
3 \(\dfrac{\rho B}{B+n P_{0}}\)
4 \(\dfrac{\rho B}{B-n P_{0}}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369716 The density of a metal at normal pressure is \(\rho\). When it is subjected to an excess pressure \(p\), the density becomes \(\rho^{\prime}\). If \(K\) is the bulk modulus of the metal, then the ratio \(\dfrac{\rho^{\prime}}{\rho}\) is

1 \(\dfrac{1}{1-\dfrac{K}{p}}\)
2 \(1+\dfrac{K}{p}\)
3 \(\dfrac{1}{1-\dfrac{p}{K}}\)
4 \(1+\dfrac{p}{K}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369717 A rubber sphere is surrounded by a liquid in a cylindrical container. A massless piston of area \(0.05\;{m^2}\) floats on the surface of liquid covering cross-section of container completely. When a mass of \(10\;kg\) is placed on the surface of the piston to compress liquid, the fractional decrease in radius of the sphere is \(C \times {10^{ - 6}}.\) Find \(C\).
(Bulk modulus of rubber \( = {10^8}\;N/{m^2},\) \(g = 10\;m/{s^2}\))

1 3.27
2 6.67
3 9.62
4 5.67
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369718 Consider an ideal monoatomic gas of volume at pressure \(P\). The bulk modulus at constant temperature is

1 \(\dfrac{P}{2}\)
2 \(P\)
3 \(\gamma P\)
4 \(\frac{{PdP}}{{dV}}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369719 When the pressure of \(100\;atm\) is applied on a spherical ball, then its volume reduces to \(0.01 \%\). The bulk modulus of the material of the rubber in dyne \(/c{m^2}\) is

1 \(10 \times 10^{12}\)
2 \(100 \times 10^{12}\)
3 \(1 \times 10^{12}\)
4 \(20 \times 10^{12}\)