Elastic Moduli
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369698 Assertion :
The compressibility of solids is less than that of gases and liquids.
Reason :
There is tight coupling between the neighbouring atoms in solids.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369699 Choose the wrong statement

1 Gases are least compressible
2 The bulk modulus for solids is much larger than for liquids
3 The reciprocal of the bulk modulus is called compressibility
4 The incompressibility of the solids is due to the tight coupling between neighbouring atoms
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369700 A rubber ball of bulk modulus \(B\) is taken to a depth h of a liquid of density \(\rho\). The fractional change in radius of the ball is

1 \(\dfrac{\delta r}{r}=\dfrac{\rho g h}{2 B}\)
2 \(\dfrac{\delta r}{r}=\dfrac{\rho g h}{3 B}\)
3 \(\dfrac{\delta r}{r}=\dfrac{2 \rho g h}{B}\)
4 \(\dfrac{\delta r}{r}=\dfrac{3 \rho g h}{B}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369701 An external pressure \(P\) is applied on a cube at \(0^{\circ} \mathrm{C}\) so that it is equally compressed from all sides. \(\mathrm{K}\) is the bulk modulus of the material of the cube and \(\alpha\) is its coefficient of linear expansion. Suppose we want to bring the cube to its original size by heating. The temperature should be raised by :

1 \(\frac{P}{{\alpha K}}\)
2 \(\frac{{3\alpha }}{{PK}}\)
3 \(\frac{P}{{3\alpha K}}\)
4 \(3PK\alpha \)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369702 The pressure increases by \(1.0 \times {10^4}N/{m^2}\) for every meter of depth beneath the surface of the ocean. At what depth (in \(m\)) does the volume surface of a Pyrex glass cube, \(1.0 \times {10^{ - 2}}m\) on an edge at the ocean's surface, decrease by \(1.0 \times {10^{ - 10}}\;{m^3}\)

1 \(155\,m\)
2 \(260\,m\)
3 \(310\,m\)
4 \(300\,m\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369698 Assertion :
The compressibility of solids is less than that of gases and liquids.
Reason :
There is tight coupling between the neighbouring atoms in solids.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369699 Choose the wrong statement

1 Gases are least compressible
2 The bulk modulus for solids is much larger than for liquids
3 The reciprocal of the bulk modulus is called compressibility
4 The incompressibility of the solids is due to the tight coupling between neighbouring atoms
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369700 A rubber ball of bulk modulus \(B\) is taken to a depth h of a liquid of density \(\rho\). The fractional change in radius of the ball is

1 \(\dfrac{\delta r}{r}=\dfrac{\rho g h}{2 B}\)
2 \(\dfrac{\delta r}{r}=\dfrac{\rho g h}{3 B}\)
3 \(\dfrac{\delta r}{r}=\dfrac{2 \rho g h}{B}\)
4 \(\dfrac{\delta r}{r}=\dfrac{3 \rho g h}{B}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369701 An external pressure \(P\) is applied on a cube at \(0^{\circ} \mathrm{C}\) so that it is equally compressed from all sides. \(\mathrm{K}\) is the bulk modulus of the material of the cube and \(\alpha\) is its coefficient of linear expansion. Suppose we want to bring the cube to its original size by heating. The temperature should be raised by :

1 \(\frac{P}{{\alpha K}}\)
2 \(\frac{{3\alpha }}{{PK}}\)
3 \(\frac{P}{{3\alpha K}}\)
4 \(3PK\alpha \)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369702 The pressure increases by \(1.0 \times {10^4}N/{m^2}\) for every meter of depth beneath the surface of the ocean. At what depth (in \(m\)) does the volume surface of a Pyrex glass cube, \(1.0 \times {10^{ - 2}}m\) on an edge at the ocean's surface, decrease by \(1.0 \times {10^{ - 10}}\;{m^3}\)

1 \(155\,m\)
2 \(260\,m\)
3 \(310\,m\)
4 \(300\,m\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369698 Assertion :
The compressibility of solids is less than that of gases and liquids.
Reason :
There is tight coupling between the neighbouring atoms in solids.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369699 Choose the wrong statement

1 Gases are least compressible
2 The bulk modulus for solids is much larger than for liquids
3 The reciprocal of the bulk modulus is called compressibility
4 The incompressibility of the solids is due to the tight coupling between neighbouring atoms
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369700 A rubber ball of bulk modulus \(B\) is taken to a depth h of a liquid of density \(\rho\). The fractional change in radius of the ball is

1 \(\dfrac{\delta r}{r}=\dfrac{\rho g h}{2 B}\)
2 \(\dfrac{\delta r}{r}=\dfrac{\rho g h}{3 B}\)
3 \(\dfrac{\delta r}{r}=\dfrac{2 \rho g h}{B}\)
4 \(\dfrac{\delta r}{r}=\dfrac{3 \rho g h}{B}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369701 An external pressure \(P\) is applied on a cube at \(0^{\circ} \mathrm{C}\) so that it is equally compressed from all sides. \(\mathrm{K}\) is the bulk modulus of the material of the cube and \(\alpha\) is its coefficient of linear expansion. Suppose we want to bring the cube to its original size by heating. The temperature should be raised by :

1 \(\frac{P}{{\alpha K}}\)
2 \(\frac{{3\alpha }}{{PK}}\)
3 \(\frac{P}{{3\alpha K}}\)
4 \(3PK\alpha \)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369702 The pressure increases by \(1.0 \times {10^4}N/{m^2}\) for every meter of depth beneath the surface of the ocean. At what depth (in \(m\)) does the volume surface of a Pyrex glass cube, \(1.0 \times {10^{ - 2}}m\) on an edge at the ocean's surface, decrease by \(1.0 \times {10^{ - 10}}\;{m^3}\)

1 \(155\,m\)
2 \(260\,m\)
3 \(310\,m\)
4 \(300\,m\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369698 Assertion :
The compressibility of solids is less than that of gases and liquids.
Reason :
There is tight coupling between the neighbouring atoms in solids.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369699 Choose the wrong statement

1 Gases are least compressible
2 The bulk modulus for solids is much larger than for liquids
3 The reciprocal of the bulk modulus is called compressibility
4 The incompressibility of the solids is due to the tight coupling between neighbouring atoms
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369700 A rubber ball of bulk modulus \(B\) is taken to a depth h of a liquid of density \(\rho\). The fractional change in radius of the ball is

1 \(\dfrac{\delta r}{r}=\dfrac{\rho g h}{2 B}\)
2 \(\dfrac{\delta r}{r}=\dfrac{\rho g h}{3 B}\)
3 \(\dfrac{\delta r}{r}=\dfrac{2 \rho g h}{B}\)
4 \(\dfrac{\delta r}{r}=\dfrac{3 \rho g h}{B}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369701 An external pressure \(P\) is applied on a cube at \(0^{\circ} \mathrm{C}\) so that it is equally compressed from all sides. \(\mathrm{K}\) is the bulk modulus of the material of the cube and \(\alpha\) is its coefficient of linear expansion. Suppose we want to bring the cube to its original size by heating. The temperature should be raised by :

1 \(\frac{P}{{\alpha K}}\)
2 \(\frac{{3\alpha }}{{PK}}\)
3 \(\frac{P}{{3\alpha K}}\)
4 \(3PK\alpha \)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369702 The pressure increases by \(1.0 \times {10^4}N/{m^2}\) for every meter of depth beneath the surface of the ocean. At what depth (in \(m\)) does the volume surface of a Pyrex glass cube, \(1.0 \times {10^{ - 2}}m\) on an edge at the ocean's surface, decrease by \(1.0 \times {10^{ - 10}}\;{m^3}\)

1 \(155\,m\)
2 \(260\,m\)
3 \(310\,m\)
4 \(300\,m\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369698 Assertion :
The compressibility of solids is less than that of gases and liquids.
Reason :
There is tight coupling between the neighbouring atoms in solids.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369699 Choose the wrong statement

1 Gases are least compressible
2 The bulk modulus for solids is much larger than for liquids
3 The reciprocal of the bulk modulus is called compressibility
4 The incompressibility of the solids is due to the tight coupling between neighbouring atoms
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369700 A rubber ball of bulk modulus \(B\) is taken to a depth h of a liquid of density \(\rho\). The fractional change in radius of the ball is

1 \(\dfrac{\delta r}{r}=\dfrac{\rho g h}{2 B}\)
2 \(\dfrac{\delta r}{r}=\dfrac{\rho g h}{3 B}\)
3 \(\dfrac{\delta r}{r}=\dfrac{2 \rho g h}{B}\)
4 \(\dfrac{\delta r}{r}=\dfrac{3 \rho g h}{B}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369701 An external pressure \(P\) is applied on a cube at \(0^{\circ} \mathrm{C}\) so that it is equally compressed from all sides. \(\mathrm{K}\) is the bulk modulus of the material of the cube and \(\alpha\) is its coefficient of linear expansion. Suppose we want to bring the cube to its original size by heating. The temperature should be raised by :

1 \(\frac{P}{{\alpha K}}\)
2 \(\frac{{3\alpha }}{{PK}}\)
3 \(\frac{P}{{3\alpha K}}\)
4 \(3PK\alpha \)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369702 The pressure increases by \(1.0 \times {10^4}N/{m^2}\) for every meter of depth beneath the surface of the ocean. At what depth (in \(m\)) does the volume surface of a Pyrex glass cube, \(1.0 \times {10^{ - 2}}m\) on an edge at the ocean's surface, decrease by \(1.0 \times {10^{ - 10}}\;{m^3}\)

1 \(155\,m\)
2 \(260\,m\)
3 \(310\,m\)
4 \(300\,m\)