Elastic Moduli
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PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369763 Assertion :
The stretching of a coil is determined by its shear modulus.
Reason :
Shear modulus changes only shape of a coil keeping length unchanged.

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

369764 Assertion :
A hollow shaft is found to be stronger than a solid shaft made of same size and material.
Reason :
The torque required to produce a given twist in hollow cylinder is greater than that required to twist a solid cylinder of same size and material.

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

369765 Consider a solid cylinder having length \(\mathrm{L}\) and radius \(a\). The upper end of the cylinder is fixed to the ceiling. The lower end of the cylinder is twisted by an angle \(\theta\) then find the restoring torque produced in the rod. Given that \(\eta\) is the shear modulus.
supporting img

1 \(\dfrac{\pi \eta \theta a^{4}}{2 L}\)
2 \(\dfrac{\eta \theta a^{3}}{L}\)
3 \(\dfrac{\eta \theta a^{4}}{L}\)
4 \(\dfrac{2 \pi \eta \theta a^{4}}{L}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369766 The edge of an aluminium cube is \(10\;cm\) long. One face of the cube is firmly fixed to a vertical wall. A mass of \(100\;kg\) is then attached to the opposite face of the cube. The shear modulus of aluminium is \(25\,GPa\) Then the vertical deflection of this face

1 \(3 \times {10^{ - 7}}\;m\)
2 \(4 \times {10^{ - 7}}\;m\)
3 \(8 \times {10^{ - 7}}\;m\)
4 \(2 \times {10^{ - 7}}\;m\)
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PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369763 Assertion :
The stretching of a coil is determined by its shear modulus.
Reason :
Shear modulus changes only shape of a coil keeping length unchanged.

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

369764 Assertion :
A hollow shaft is found to be stronger than a solid shaft made of same size and material.
Reason :
The torque required to produce a given twist in hollow cylinder is greater than that required to twist a solid cylinder of same size and material.

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

369765 Consider a solid cylinder having length \(\mathrm{L}\) and radius \(a\). The upper end of the cylinder is fixed to the ceiling. The lower end of the cylinder is twisted by an angle \(\theta\) then find the restoring torque produced in the rod. Given that \(\eta\) is the shear modulus.
supporting img

1 \(\dfrac{\pi \eta \theta a^{4}}{2 L}\)
2 \(\dfrac{\eta \theta a^{3}}{L}\)
3 \(\dfrac{\eta \theta a^{4}}{L}\)
4 \(\dfrac{2 \pi \eta \theta a^{4}}{L}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369766 The edge of an aluminium cube is \(10\;cm\) long. One face of the cube is firmly fixed to a vertical wall. A mass of \(100\;kg\) is then attached to the opposite face of the cube. The shear modulus of aluminium is \(25\,GPa\) Then the vertical deflection of this face

1 \(3 \times {10^{ - 7}}\;m\)
2 \(4 \times {10^{ - 7}}\;m\)
3 \(8 \times {10^{ - 7}}\;m\)
4 \(2 \times {10^{ - 7}}\;m\)
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PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369763 Assertion :
The stretching of a coil is determined by its shear modulus.
Reason :
Shear modulus changes only shape of a coil keeping length unchanged.

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

369764 Assertion :
A hollow shaft is found to be stronger than a solid shaft made of same size and material.
Reason :
The torque required to produce a given twist in hollow cylinder is greater than that required to twist a solid cylinder of same size and material.

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

369765 Consider a solid cylinder having length \(\mathrm{L}\) and radius \(a\). The upper end of the cylinder is fixed to the ceiling. The lower end of the cylinder is twisted by an angle \(\theta\) then find the restoring torque produced in the rod. Given that \(\eta\) is the shear modulus.
supporting img

1 \(\dfrac{\pi \eta \theta a^{4}}{2 L}\)
2 \(\dfrac{\eta \theta a^{3}}{L}\)
3 \(\dfrac{\eta \theta a^{4}}{L}\)
4 \(\dfrac{2 \pi \eta \theta a^{4}}{L}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369766 The edge of an aluminium cube is \(10\;cm\) long. One face of the cube is firmly fixed to a vertical wall. A mass of \(100\;kg\) is then attached to the opposite face of the cube. The shear modulus of aluminium is \(25\,GPa\) Then the vertical deflection of this face

1 \(3 \times {10^{ - 7}}\;m\)
2 \(4 \times {10^{ - 7}}\;m\)
3 \(8 \times {10^{ - 7}}\;m\)
4 \(2 \times {10^{ - 7}}\;m\)
For More Updates join with Us
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369763 Assertion :
The stretching of a coil is determined by its shear modulus.
Reason :
Shear modulus changes only shape of a coil keeping length unchanged.

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

369764 Assertion :
A hollow shaft is found to be stronger than a solid shaft made of same size and material.
Reason :
The torque required to produce a given twist in hollow cylinder is greater than that required to twist a solid cylinder of same size and material.

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

369765 Consider a solid cylinder having length \(\mathrm{L}\) and radius \(a\). The upper end of the cylinder is fixed to the ceiling. The lower end of the cylinder is twisted by an angle \(\theta\) then find the restoring torque produced in the rod. Given that \(\eta\) is the shear modulus.
supporting img

1 \(\dfrac{\pi \eta \theta a^{4}}{2 L}\)
2 \(\dfrac{\eta \theta a^{3}}{L}\)
3 \(\dfrac{\eta \theta a^{4}}{L}\)
4 \(\dfrac{2 \pi \eta \theta a^{4}}{L}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369766 The edge of an aluminium cube is \(10\;cm\) long. One face of the cube is firmly fixed to a vertical wall. A mass of \(100\;kg\) is then attached to the opposite face of the cube. The shear modulus of aluminium is \(25\,GPa\) Then the vertical deflection of this face

1 \(3 \times {10^{ - 7}}\;m\)
2 \(4 \times {10^{ - 7}}\;m\)
3 \(8 \times {10^{ - 7}}\;m\)
4 \(2 \times {10^{ - 7}}\;m\)