Free Deformation and Elasticity MCQs with Answers
17 Deformation and Elasticity MCQs from Physics, each with the correct answer and a written explanation of why it is correct. Free and unlimited, with no account needed.
Deformation and elasticity describe how solids change shape or volume under an applied force and return to their original form when the force is removed. Work includes stress, strain, Hooke’s law, elastic limit, Young’s modulus and elastic potential energy, while elastic deformation must be distinguished from permanent plastic deformation.
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1. A body which breaks down just after crossing the elastic limit is known as:
- A. Elastic
- B. Hard
- C. Ductile
- D. Brittle
Explanation: A body that breaks down immediately after crossing the elastic limit is known as brittle.
Correct answer: Brittle2. The given diagram shows a helical spring attached to a fixed surface. The value of spring constant is taken as 'k' 300 N/m and a 100 N weight is attached at the bottom.The extension in the spring will be
- A. 0.333 m
- B. 0.666 m
- C. 3 m
- D. 6 m
Explanation: The correct answer is 0.333 m. When a weight is attached to the spring, it exerts a force on the spring, causing it to extend. By applying Hooke's Law (F = kx), where F is the force, k is the spring constant, and x is the extension, we can calculate the extension in the spring to be 0.333 meters. Options B, C, and D are incorrect because they do not account for the force exerted by the weight of the object, leading to incorrect extension calculations.
Correct answer: 0.333 m3. The ratio between applied stress to the volumetric strain is called
- A. Bulk modulus.
- B. Shear modulus.
- C. Young's modulus.
- D. Modulus of plasticity.
Explanation: The correct concept for the ratio between applied stress and volumetric strain is the bulk modulus. However, the given correct option 'Young's modulus' is incorrect for the provided question. Young's modulus is specifically the ratio of stress to strain in the linear elasticity regime of a uniaxial deformation. The bulk modulus is indeed the correct term for volumetric stress-strain relationships. Therefore, the question seems to be incorrectly keyed.The other options are incorrect as follows:Shear modulus: Involves shear stress and shear strain, not volumetric strain.Modulus of plasticity: Is not a recognized term in standard material science terminology.Young's modulus: Refers to tensile stress and tensile strain, not volumetric changes.
Correct answer: Bulk modulus.4. A piece of copper is drawn into continuous wire. What behavior is the copper exhibiting?
- A. Brittle only
- B. Elastic only
- C. Plastic Only
- D. Both brittle and elastic
Explanation: For stresses beyond the elastic limit, a material exhibits plastic behaviour. This means the material deforms irreversibly and does not return to its original shape and size, even when the load is removed.
Correct answer: Plastic Only5. The force applied on unit area to produce any change in the volume or length of a body is called:
- A. Strain
- B. Stress
- C. Elasticity
- D. Equilibrium
Explanation: When the force applied produces a change in length or volume of the object then is it called stress, otherwise the term strain is used.
Correct answer: Stress6. Which of the following is the most ductile?
- A. Glass
- B. Copper
- C. Cast iron
- D. High carbon steel
Explanation: Ductility is the property of being drawn into wires, it is a permanent strain tension test.Copper can be drawn into very thin wires as it is a metal; its atoms have the ability to roll over each other into new positions without breaking the metallic bond.While cast iron is brittle and will break due to its weak tensile strength means that it will fracture before it bends or distorts.In case of high carbon steel, the carbon atoms are much smaller than iron atoms and as more carbon is put into a lattice or iron atoms, it becomes harder for the iron atoms to slide easily past each other because of the carbon, and the steel becomes much more brittle and less ductile.For glass, the molecular structure is made up of tetrahedral crystals which do not have large-area orderly crystalline structure therefore they rupture under stress.Hence copper is the most ductile.
Correct answer: Copper7. The wire made of copper belongs to which specific kind of material?
- A. Ductile material
- B. Tough material
- C. Brittle material
- D. Deformed material
Explanation: Ductility is the ability of a material to be drawn or plastically deformed without fracture. It is therefore an indication of how 'soft' or malleable the material is.Hence, Copper is a versatile material as it can be drawn into sheets.
Correct answer: Ductile material8. A wire of length 2m is attached with mass of 5kg vertically, tensile strain of wire is 0.3 x 10^-3, the extension in wire is:
- A. 1.5mm
- B. 2mm
- C. 0.15mm
- D. 0.6mm
Explanation: Strain is nothing but ratio of change in length to original length i.e Δl/L. We are asked to calculate extension meaning increase in length i.e Δl. strain= Δl/L Δl =strain x L =0.3x10-³ x 2 =0.6x10-³ =0.6mm ANS
Correct answer: 0.6mm9. The area under the extension-load graph Of an elastic material whose elastic limit has not been exceeded gives its:
- A. Stress
- B. Strain energy
- C. Strain
- D. Young modulus
Explanation: Strain energy is the energy stored by an object undergoing deformation. Area under the extension-load graph represents work done to cause the deformation. An object which has not reached its elastic limit, the work done during stretching is recovered when it is unloaded.
Correct answer: Strain energy10. The applied force that the solid can withstand without breaking is called:
- A. Stiffness of solids
- B. Strength of solid
- C. Ductility of solids
- D. Toughness of solid
Explanation: Strength measures how much stress can be applied to an element before it deforms permanently or fractures.
Correct answer: Strength of solidDeformation and Elasticity MCQs: common questions
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