Questions

Assertion & Reason

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12 questions · self-marked practice — reveal the answer and mark yourself.

Question 11 Mark
Assertion : Sterss is the internal force per unit area of a body.
Reason : Rubber is less elastic than steel.
Answer
(b) 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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Question 21 Mark
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.
Answer
(a) Work done $=\frac{1}{2} \times$ Stress $\times$ Strain $=\frac{1}{2} \times Y \times(\text { Strain })^2$.Since, elasticity of steel is more than copper, hence more work has to be done in order to stretch the steel.
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Question 31 Mark
Assertion : Young's modulus for a perfectly plastic body is zero.
Reason : For a perfectly plastic body, restoring force is zero.
Answer
(a) Young's modulus of a material,
$Y=\frac{\text { Stress }}{\text { Strain }}$
Here, stress $=\frac{\text { Restoring force }}{\text { Area }}$.
As restoring force is zero
$\therefore Y=0$.
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Question 41 Mark
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 : lvory and wet-clay have same elasticity.
Answer
(d) lvory 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.
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Question 51 Mark
Assertion : The bridges declared unsafe after a long use.
Reason : Elastic strength of bridges losses with time.
Answer
(a) 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.
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Question 61 Mark
Assertion : strain is a unitless quantity.
Reason : Strain is equivalent to force.
Answer
(c) 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.
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Question 71 Mark
Assertion : Bulk modulus of elasticity (K) represents incompressibility of the material.
Reason : Bulk modulus of elasticity is proportional to change in pressure. Assertion : Strain is a unitless quantity. Reason : Strain is equivalent to force.
Answer
(a) 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. $K=\frac{-P V}{\Delta V}$ where $P$ is increase in pressure, $\Delta V$ is change in volume.
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Question 81 Mark
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.
Answer
(a)
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Question 91 Mark
Assertion : Glassy solids have sharp melting point.
Reason : The bonds between the atoms of glassy solids get broken at the same temperature.
Answer
(d) 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.
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Question 101 Mark
Assertion : Steel is more elastic than rubber.
Reason : Under given deforming force, steel is deformed less than rubber.
Answer
(a) 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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Question 111 Mark
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.
Answer
(e) 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.
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Question 121 Mark
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.
Answer
(a) 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.
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