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ACT Exam  >  ACT Tests  >  Assertion & Reason Test: Mechanical Properties of Solids - ACT MCQ

Assertion & Reason Test: Mechanical Properties of Solids - ACT MCQ


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12 Questions MCQ Test - Assertion & Reason Test: Mechanical Properties of Solids

Assertion & Reason Test: Mechanical Properties of Solids for ACT 2024 is part of ACT preparation. The Assertion & Reason Test: Mechanical Properties of Solids questions and answers have been prepared according to the ACT exam syllabus.The Assertion & Reason Test: Mechanical Properties of Solids MCQs are made for ACT 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Assertion & Reason Test: Mechanical Properties of Solids below.
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Assertion & Reason Test: Mechanical Properties of Solids - Question 1
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Read the assertion and reason carefully to mark the correct option out of the options given below:

Assertion: The stretching of a coil is determined by its shear modulus.

Reason: Shear modulus change only shape of a body keeping its dimensions unchanged.

Detailed Solution for Assertion & Reason Test: Mechanical Properties of Solids - Question 1
Because, the stretching of coil simply changes its shape without any change in the length of the wire used in coil. Due to which shear modulus of elasticity is involved.
Assertion & Reason Test: Mechanical Properties of Solids - Question 2
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Read the assertion and reason carefully to mark the correct option out of the options given below:

Assertion : Steel is more elastic than rubber.

Reason : Under given deforming force, steel is deformed less than rubber.

Detailed Solution for Assertion & Reason Test: Mechanical Properties of Solids - Question 2
Elasticity is a measure of tendency of the body to regain its original configuration. As steel is deformed less than rubber therefore steel is more elastic than rubber.
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Assertion & Reason Test: Mechanical Properties of Solids - Question 3
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Read the assertion and reason carefully to mark the correct option out of the options given below:

Assertion : A hollow shaft is found to be stronger than a solid shaft made of same 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.

Detailed Solution for Assertion & Reason Test: Mechanical Properties of Solids - Question 3

Let us consider the shaft as a cylinder. Then we have a solid cylinder A with radius D and a hollow cylinder B with inner radius d and outer radius D as shown in the figure.

If both the cylinders are made of the same material, clearly the mass of the A is greater than the mass of B as cylinder B is hollow.

Now if we assume that both the cylinders are made of the same mass, then the cylinder B is stronger than the cylinder A as the mass in the centre of cylinder B is spread at a smaller area.

Thus we can say that a hollow shaft is found to be stronger than a solid shaft made of the same size and material or that the assertion is true.

If the force is applied on the external diameter of both the cylinders, then the distance where the force is applied will remain constant. But we saw that the cylinder B is stronger than the cylinder A then we can say that cylinder B needs more force and hence more torque as compared to the cylinder A.

Then, the reason is also correct.

Hence, the answer is A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.

Assertion & Reason Test: Mechanical Properties of Solids - Question 4
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Read the assertion and reason carefully to mark the correct option out of the options given below:

Assertion : Strain is a unitless quantity.

Reason : Strain is equivalent to force.
Detailed Solution for Assertion & Reason Test: Mechanical Properties of Solids - Question 4
Strain is the ratio of change in dimensions of the body to the original dimensions. Because this is a ratio, therefore it is dimensionless quantity.
Assertion & Reason Test: Mechanical Properties of Solids - Question 5
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Assertion : Two identical solid balls, one of ivory and the other of wet-clay are dropped from the same height on the floor. Both the balls will rise to same height after bouncing.

Reason : Ivory and wet-clay have same elasticity.
Detailed Solution for Assertion & Reason Test: Mechanical Properties of Solids - Question 5
Ivory is more elastic than wet-clay. Hence the ball of ivory will rise to a greater height. In fact the ball of wet-clay will not rise at all, it will be somewhat flattened permanently.
Assertion & Reason Test: Mechanical Properties of Solids - Question 6
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Read the assertion and reason carefully to mark the correct option out of the options given below:

Assertion : Identical springs of steel and copper are equally stretched. More work will be done on the steel spring.

Reason : Steel is more elastic than copper.
Detailed Solution for Assertion & Reason Test: Mechanical Properties of Solids - Question 6
Work done = 1/2 × Stress × Strain = 1/2 × Y × (Strain)2 Since, elasticity of steel is more than copper, hence more work has to be done in order to stretch the steel.
Assertion & Reason Test: Mechanical Properties of Solids - Question 7
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Assertion : Spring balances show correct readings even after they had been used for a long time interval.

Reason : On using for long time, spring balances losses its elastic strength.
Detailed Solution for Assertion & Reason Test: Mechanical Properties of Solids - Question 7
When a spring balance has been used for a long time, the spring in the balance fatigued and there is loss of strength of the spring. In such a case, the extension in the spring is more for a given load and hence the balance gives wrong readings.
Assertion & Reason Test: Mechanical Properties of Solids - Question 8
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Assertion : Glassy solids have sharp melting point.

Reason : The bonds between the atoms of glassy solids get broken at the same temperature.
Detailed Solution for Assertion & Reason Test: Mechanical Properties of Solids - Question 8
In a glassy solid (i.e., amorphous solid) the various bonds between the atoms or ions or molecules of a solid are not equally strong. Different bonds are broken at different temperatures. Hence there is no sharp melting point for a glassy solid.
Assertion & Reason Test: Mechanical Properties of Solids - Question 9
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Assertion : Bulk modulus of elasticity (K) represents incompressibility of the material.

Reason : Bulk modulus of elasticity is proportional to change in pressure.
Detailed Solution for Assertion & Reason Test: Mechanical Properties of Solids - Question 9
Bulk modulus of elasticity measures how good the body is to regain its original volume on being compressed. Therefore, it represents incompressibility of the material. K = -PV/ΔV where P is increase in pressure, ΔV is change in volume.
Assertion & Reason Test: Mechanical Properties of Solids - Question 10
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Assertion : The bridges declared unsafe after a long use.

Reason : Elastic strength of bridges losses with time.
Detailed Solution for Assertion & Reason Test: Mechanical Properties of Solids - Question 10
A bridge during its use undergoes alternating strains for a large number of times each day, depending upon the movement of vehicles on it when a bridge is used for long time, it losses its elastic strength. Due to which the amount of strain in the bridge for a given stress will become large and ultimately, the bridge may collapse. This may not happen, if the bridges are declared unsafe after long use.
Assertion & Reason Test: Mechanical Properties of Solids - Question 11
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Read the assertion and reason carefully to mark the correct option out of the options given below:

Assertion : Young's modulus for a perfectly plastic body is zero.

Reason : For a perfectly plastic body, restoring force is zero.
Detailed Solution for Assertion & Reason Test: Mechanical Properties of Solids - Question 11
Young's Modulus= (restoring force per unit area)/(elongation of wire/length of wire) now for a plastic body the restoring force is zero and it ultimately makes the Young's modulus zero. Hence both assertion and reason are true
Assertion & Reason Test: Mechanical Properties of Solids - Question 12
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Read the assertion and reason carefully to mark the correct option out of the options given below:

Assertion : Stress is the internal force per unit area of a body.

Reason : Rubber is less elastic than steel.
Detailed Solution for Assertion & Reason Test: Mechanical Properties of Solids - Question 12
Stress is defined as internal force (restoring force) per unit area of a body. Also, rubber is less elastic than steel, because restoring force is less for rubber than steel.
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