Miscellaneous Problems in Mechanical Properties of Solids
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369933 Assertion :
Addition of carbon to iron increases the elastic property.
Reason :
Carbon and iron belong to same group of elements.

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

369934 A uniform ring of mass \(M\) of outside radius \(r_{2}\) is fitted tightly with a shaft of radius \(r_{1}\). If the shaft is rotated with a constant angular acceleration \(\alpha\) about it's axis, the moment of the elastic force in the ring about the axis of rotation is
supporting img

1 \(\dfrac{M\left(r_{2}^{4}+r_{1}^{4}\right) \alpha}{2\left(r_{2}^{2}+r_{1}^{2}\right)}\)
2 \(\dfrac{M\left(r_{2}^{4}-r_{1}^{4}\right) \alpha}{2\left(r_{2}^{2}-r_{1}^{2}\right)}\)
3 \(\dfrac{M\left(r_{2}^{4}+r_{1}^{4}\right) \alpha}{2\left(r_{2}^{2}-r_{1}^{2}\right)}\)
4 \(\dfrac{M\left(r_{2}^{4}-r_{1}^{4}\right) \alpha}{2\left(r_{2}^{2}+r_{1}^{2}\right)}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369935 Assertion :
The size of a hydrogen balloon increases as it rises in air.
Reason :
The material of the balloon can be easily stretched.

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

369936 Assertion :
Railway tracks are laid on small sized wooden sleepers.
Reason :
Large sized wooden sleepers are preferred to decrease pressure on ground.

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

369937 Proof resilience is related to

1 potential energy stored in the elastic body
2 stiffness of beam
3 elastic fatigue
4 elastic relaxation
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369933 Assertion :
Addition of carbon to iron increases the elastic property.
Reason :
Carbon and iron belong to same group of elements.

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

369934 A uniform ring of mass \(M\) of outside radius \(r_{2}\) is fitted tightly with a shaft of radius \(r_{1}\). If the shaft is rotated with a constant angular acceleration \(\alpha\) about it's axis, the moment of the elastic force in the ring about the axis of rotation is
supporting img

1 \(\dfrac{M\left(r_{2}^{4}+r_{1}^{4}\right) \alpha}{2\left(r_{2}^{2}+r_{1}^{2}\right)}\)
2 \(\dfrac{M\left(r_{2}^{4}-r_{1}^{4}\right) \alpha}{2\left(r_{2}^{2}-r_{1}^{2}\right)}\)
3 \(\dfrac{M\left(r_{2}^{4}+r_{1}^{4}\right) \alpha}{2\left(r_{2}^{2}-r_{1}^{2}\right)}\)
4 \(\dfrac{M\left(r_{2}^{4}-r_{1}^{4}\right) \alpha}{2\left(r_{2}^{2}+r_{1}^{2}\right)}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369935 Assertion :
The size of a hydrogen balloon increases as it rises in air.
Reason :
The material of the balloon can be easily stretched.

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

369936 Assertion :
Railway tracks are laid on small sized wooden sleepers.
Reason :
Large sized wooden sleepers are preferred to decrease pressure on ground.

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

369937 Proof resilience is related to

1 potential energy stored in the elastic body
2 stiffness of beam
3 elastic fatigue
4 elastic relaxation
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369933 Assertion :
Addition of carbon to iron increases the elastic property.
Reason :
Carbon and iron belong to same group of elements.

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

369934 A uniform ring of mass \(M\) of outside radius \(r_{2}\) is fitted tightly with a shaft of radius \(r_{1}\). If the shaft is rotated with a constant angular acceleration \(\alpha\) about it's axis, the moment of the elastic force in the ring about the axis of rotation is
supporting img

1 \(\dfrac{M\left(r_{2}^{4}+r_{1}^{4}\right) \alpha}{2\left(r_{2}^{2}+r_{1}^{2}\right)}\)
2 \(\dfrac{M\left(r_{2}^{4}-r_{1}^{4}\right) \alpha}{2\left(r_{2}^{2}-r_{1}^{2}\right)}\)
3 \(\dfrac{M\left(r_{2}^{4}+r_{1}^{4}\right) \alpha}{2\left(r_{2}^{2}-r_{1}^{2}\right)}\)
4 \(\dfrac{M\left(r_{2}^{4}-r_{1}^{4}\right) \alpha}{2\left(r_{2}^{2}+r_{1}^{2}\right)}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369935 Assertion :
The size of a hydrogen balloon increases as it rises in air.
Reason :
The material of the balloon can be easily stretched.

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

369936 Assertion :
Railway tracks are laid on small sized wooden sleepers.
Reason :
Large sized wooden sleepers are preferred to decrease pressure on ground.

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

369937 Proof resilience is related to

1 potential energy stored in the elastic body
2 stiffness of beam
3 elastic fatigue
4 elastic relaxation
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PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369933 Assertion :
Addition of carbon to iron increases the elastic property.
Reason :
Carbon and iron belong to same group of elements.

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

369934 A uniform ring of mass \(M\) of outside radius \(r_{2}\) is fitted tightly with a shaft of radius \(r_{1}\). If the shaft is rotated with a constant angular acceleration \(\alpha\) about it's axis, the moment of the elastic force in the ring about the axis of rotation is
supporting img

1 \(\dfrac{M\left(r_{2}^{4}+r_{1}^{4}\right) \alpha}{2\left(r_{2}^{2}+r_{1}^{2}\right)}\)
2 \(\dfrac{M\left(r_{2}^{4}-r_{1}^{4}\right) \alpha}{2\left(r_{2}^{2}-r_{1}^{2}\right)}\)
3 \(\dfrac{M\left(r_{2}^{4}+r_{1}^{4}\right) \alpha}{2\left(r_{2}^{2}-r_{1}^{2}\right)}\)
4 \(\dfrac{M\left(r_{2}^{4}-r_{1}^{4}\right) \alpha}{2\left(r_{2}^{2}+r_{1}^{2}\right)}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369935 Assertion :
The size of a hydrogen balloon increases as it rises in air.
Reason :
The material of the balloon can be easily stretched.

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

369936 Assertion :
Railway tracks are laid on small sized wooden sleepers.
Reason :
Large sized wooden sleepers are preferred to decrease pressure on ground.

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

369937 Proof resilience is related to

1 potential energy stored in the elastic body
2 stiffness of beam
3 elastic fatigue
4 elastic relaxation
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369933 Assertion :
Addition of carbon to iron increases the elastic property.
Reason :
Carbon and iron belong to same group of elements.

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

369934 A uniform ring of mass \(M\) of outside radius \(r_{2}\) is fitted tightly with a shaft of radius \(r_{1}\). If the shaft is rotated with a constant angular acceleration \(\alpha\) about it's axis, the moment of the elastic force in the ring about the axis of rotation is
supporting img

1 \(\dfrac{M\left(r_{2}^{4}+r_{1}^{4}\right) \alpha}{2\left(r_{2}^{2}+r_{1}^{2}\right)}\)
2 \(\dfrac{M\left(r_{2}^{4}-r_{1}^{4}\right) \alpha}{2\left(r_{2}^{2}-r_{1}^{2}\right)}\)
3 \(\dfrac{M\left(r_{2}^{4}+r_{1}^{4}\right) \alpha}{2\left(r_{2}^{2}-r_{1}^{2}\right)}\)
4 \(\dfrac{M\left(r_{2}^{4}-r_{1}^{4}\right) \alpha}{2\left(r_{2}^{2}+r_{1}^{2}\right)}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369935 Assertion :
The size of a hydrogen balloon increases as it rises in air.
Reason :
The material of the balloon can be easily stretched.

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

369936 Assertion :
Railway tracks are laid on small sized wooden sleepers.
Reason :
Large sized wooden sleepers are preferred to decrease pressure on ground.

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

369937 Proof resilience is related to

1 potential energy stored in the elastic body
2 stiffness of beam
3 elastic fatigue
4 elastic relaxation