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Elastic behaviour of solids - class-XI

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Which of the following statements is incorrect?

  1. When a material is under tensile stress, the restoring forces are caused by interatomic attraction while under compressional stress, the restoring force is due to interatomic repulsion

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

  3. Rubber is more elastic than steel

  4. Shearing stress plays an important role in the buckling of shafts


Correct Option: C
Explanation:

More elastic means, the value of an elastic constant is more and. Steel have move elastic constant in compare to Rubber, So Steel is more elastic than rubber.
All other statements are correct.

Out of the following whose elasticity is independent of temperature

  1. steel

  2. copper

  3. Invar steel

  4. glass


Correct Option: C
Explanation:

For most of the materials, elasticity decreases with temperature. One exception is invar steel.

Which of the following is an example of plastic deformation?

  1. stretching a rubber band

  2. stretching salt water taffy

  3. none

  4. both


Correct Option: B
Explanation:

Whenever a deforming force is applied to a non-rigid substance, the substance undergoes deformation in dimension or shape. Elastic substances are those which come back to their original shape or dimensions after the deformation force is removed. Plastic substances are those which do not come back to their original shape or dimensions even after the deformation force is removed.

Salt water taffy is a plastic material. Hence stretching of it will be a plastic deformation. Rubber-band is an elastic material.

Which of the following are close to ideal plastics?

  1. Putty

  2. Mud

  3. Rubber band

  4. None of the above


Correct Option: A,B
Explanation:

Whenever a deforming force is applied to a non-rigid substance, the substance undergoes deformation in dimension or shape. Plastic substances are those which do not come back to their original shape or dimensions even after the deformation force is removed.
Substances like clay, putty, mud etc., are highly plastic in nature

Which of the following is not artificial form of plastics?

  1. Nylon

  2. Teflon

  3. Styrofoam

  4. None of the above


Correct Option: D
Explanation:

Plastic is a synthetic material made from a wide range of organic polymers such as polyethylene, PVC, nylon, etc., that can be moulded into shape while soft, and then set into a rigid or slightly elastic form. 

Nylon, teflon and styrofoam are all examples of plastics.

Fill in the blank.
In a technical sense a substance with a ________ elasticity is one that requires a ______  force to produce a distortion-for example, a steel sphere. 

  1. high, small

  2. high, large

  3. low, large

  4. low , small


Correct Option: B
Explanation:

According to Hooke's law, within elastic limit,

    $E=\dfrac{stress}{strain}$$=\dfrac{deforming\ force}{(area\times strain)}$ 
It means higher the elasticity, larger will be the required deforming force.
Hence, in a technical sense a substance with a high elasticity is one that requires a high force to produce a distortion.

As compared to concrete, steel has compressive strength:

  1. $25$ times less

  2. equal

  3. $25$ times more

  4. $5$ times more


Correct Option: C
Explanation:

Compressive strength is the capacity of a material or structure to withstand loads tending to reduce size, as opposed to tensile strength, which withstands loads tending to elongate.

Compressive strength is one of the most important engineering property of Concrete which designers are concerned of. However the compressive strength of steel is around 25 time more than that of concrete.

The property of a material due to which shape is changed permanently is known as:

  1. Elasticity

  2. Plasticity

  3. Ductility

  4. None of the above


Correct Option: B
Explanation:

The property of a body to regain its original shape when the deforming force is removed from it or to oppose the change in its original shape is called elasticity.

Plasticity is the property of a material not to regain its original shape when the deforming force is removed, i e. a deforming force changes the shape of material permanently. 
Ductility is commonly defined as the ability of a body to be stretched into wires.

Elasticity is defined as the ability of a body to 

  1. Resist linear motion in a hard surface

  2. Resist rolling motion in a hard surface

  3. Resist a distorting influence and to return to its original size and shape when that influence or force is removed.

  4. Resist electric current in a magnetic field


Correct Option: C
Explanation:

Elasticity is defined as the ability of a body to  resist a distorting influence and to return to its original size and shape when that influence or force is removed.

Substances that elongate considerably and undergo plastic deformation before they break are known as

  1. brittle substances

  2. breakable substances

  3. ductile substances

  4. all of these


Correct Option: C
Explanation:

Substances that elongate considerably and undergo plastic deformation before they break are known as ductile substances

 Plastic deformation results from the following 

  1. Slip

  2. Twinning

  3. Both slip and twinning

  4. creep


Correct Option: C
Explanation:

Two prominent mechanisms of plastic deformation, namely slip and twinning occur . 
1. Slip involves sliding of blocks of crystal over one other along definite crystallographic planes, called slip planes. During slip each atom usually moves same integral number of atomic distances along the slip plane producing a step, but the orientation of the crystal remains the same.

2. Portion of crystal takes up an orientation that is related to the orientation of the rest of the untwined lattice in a definite, symmetrical way. The twinned portion of the crystal is a mirror image of the parent crystal.

Substances that break just after elastic limit is reached are known as 

  1. brittle substances

  2. breakable substances

  3. ductile substances

  4. elastic substances


Correct Option: A
Explanation:

Substances that break just after elastic limit is reached are known as brittle substances

A thin metal sheet is being bent by or pounded in to a new shape. The process of being elastic to plastic behaviour is known as 

  1. Yield

  2. Creep

  3. Welding

  4. Tinkering


Correct Option: A
Explanation:

The yield point is the point on a stressstrain curve that indicates the limit of elastic behavior and the beginning of plastic behavior. Yielding means the start of breaking of fibers.

The correct option is option(a)

The plasticity behaviour of a material determines the 

  1. elastic behavior of the material

  2. resistance of the material to electric fields

  3. viscous behavior of the material and is irrecoverable.

  4. resistance of the material to magnetic fields


Correct Option: C
Explanation:

Plasticity is defined as the property which enables a material to be deformed continuously and permanently without rupture during the application of force. This deformation determines the viscous behavior of the material and is irrecoverable.

Plastic deformation in a material begins at

  1. Q point

  2. Yield point

  3. Proportionality limit

  4. Elastic limit


Correct Option: B
Explanation:

Beyond the elastic limit, permanent deformation will occur. The elastic limit is therefore the lowest stress point at which permanent deformation can be measured. At yield point, permanent deformation occurs or the substance becomes plastic.

The correct option is option (b)

At yield point, Hooke's law doesn't hold good

  1. True

  2. False


Correct Option: A
Explanation:

The yield point is the point on a stressstrain curve that indicates the limit of elastic behavior and the beginning of plastic behavior. Yielding means the start of breaking of fibers.

Thus, Hooke's law dosent hold good in this region, as stress is not proportional to strain in this region

Which of the following is perfectly plastic?

  1. Plasticine

  2. Quartz fibre

  3. steel

  4. Rubber


Correct Option: B

An elastic metal rod will change its length when it

  1. falls vertically under its weight

  2. is pulled along its lengthy by a force acting at one end

  3. both

  4. none


Correct Option: B

When the elastic limit is exceeded, the body acquires permanent deformation called 

  1. Met

  2. Set

  3. bet

  4. ket


Correct Option: A

Which one of the following substance possesses the highest elasticity?

  1. rubber

  2. glass

  3. steel

  4. copper


Correct Option: C
Explanation:

Modulus of elasticity gives the idea of elasticity. For above materials, values of E are:
Glass: $50-90 GPa$
Rubber:$ 0.01-0.1 GPa$
Steel:$ 200 GPa$
Copper: $117 GPa$

Pick up the correct statement:

  1. Cubic crystals exhibit isotropic nature with respect to therma expansion

  2. Anisotropic solids expand in one direction and contract in perpendicular direction

  3. Many of the crystals are anisotropic solids

  4. Rock salt crystal exhibits isotropic nature with respect to thermal expansion


Correct Option: C

The nearest approach to a perfect plastic body is

  1. diamond

  2. quartz fiber

  3. putty

  4. none of these


Correct Option: B

The materials, which do not show a fixed trend of deformation vs. applied force, are called:

  1. inelastic materials

  2. plastic materials

  3. elastic materials

  4. rigid materials


Correct Option: A
Explanation:

Elastic materials are those that follow the Hooke's law, which is that the deformation produced in a material is directly proportional to the stress applied to it, and the material is recoverable after the deformation force is removed.

Inelastic materials are those that do not follow this relationship. They do not show a fixed trend of deformation vs applied force; in fact, they might not deform at all (rigid materials) or the deformation observed is not completely recoverable.

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