Physics · Class 11 Science
Ch 6Mechanical Properties of Solids — Class 11 Physics, concept-first.
Every solid is built from atoms (or groups of atoms) locked into a definite geometric arrangement. Nature chooses this particular arrangement because, in it, the net force on each atom from all its neighbours is zero — this is the solid's equilibrium configuration at room temperature.
Key concepts
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Young's Modulus
Young's modulus , named after the physicist Thomas Young, is the modulus of elasticity associated with a change in length of an object such as a wire, rod or beam — the elasticity of length. It applies to solids only.
Most relevant Q&A
- Distinguish between Young's modulus, bulk modulus and modulus of rigidity.Free
- What is Young's modulus? Describe an experiment to find out Young's modulus of the material in the form of a long straight wire.Preview
- What is Young's modulus of a rigid body?Preview
- A wire gets stretched by 4 mm due to a certain load. If the same load is applied to a wire of the same material with half the length and dou…Preview
- A wire of mild steel has initial length 1.5 m and diameter 0.60 mm and is extended by 6.3 mm when a certain force is applied to it. If Young…Preview
In previous exams
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Chapter contents
The NCERT structure, section by section. Open a section to see its questions, then read the concept-first solution.
Introduction
Every solid is built from atoms (or groups of atoms) locked into a definite geometric arrangement. Nature chooses this particular arrangement because, in it, the net force on each atom from all its ne…
Elastic Behavior of Solids
A body is called an elastic body, and the underlying property is called elasticity, if it regains its original shape and size completely once the deforming force acting on it is removed.
Stress and Strain
The elastic response of a body is described quantitatively using two paired concepts: stress and strain.
Hooke's Law
In 1676, the English physicist Robert Hooke, studying how much a wire stretches under tension, discovered a simple relationship between stress and strain that now bears his name.
Elastic modulus
Since a deforming force can change a body's length, its volume, or its shape — and each of these three kinds of change has its own associated stress and its own associated strain (section 6.3) — it fo…
Young's modulus (Y)
Young's modulus, named after the British physicist Thomas Young (1773-1829), is the modulus of elasticity associated with a change in length of an object such as a metal wire, rod, or beam under an ap…
Bulk modulus (K)
Bulk modulus is the modulus of elasticity associated with a change in the volume of an object under an applied deforming force — hence it is also called the elasticity of volume.
Modulus of rigidity (η)
The modulus of elasticity associated with a change in the shape of an object — with no accompanying change in its size — is called the modulus of rigidity, or shear modulus, usually denoted .
Poisson's ratio
When a wire, fixed at one end, is stretched by a force applied at its free end, two things happen simultaneously: the wire's length increases, and its diameter decreases slightly — the wire becomes bo…
Stress-Strain Curve
To map out how a material behaves under increasing stress, all the way up to the point where it finally breaks, a metal wire is suspended vertically from a rigid support and progressively loaded at it…
Strain Energy
When a wire is stretched by a gradually increasing force, work is done on it, and this work is stored in the wire as elastic potential energy, called strain energy — the same energy that is released a…
Hardness
Hardness is the property of a material that describes its ability to resist plastic (permanent) deformation when a load is applied to it — the harder a material is, the greater the resistance it offer…
Friction in Solids
Whenever the surface of one body slides — or tends to slide — over the surface of another, each body exerts a tangential opposing force on the other, directed opposite to the relative motion (or impen…
Origin of friction
It might seem natural to assume that friction arises simply because two touching surfaces, however smooth they look, are actually covered in microscopic bumps and grooves that mechanically interlock —…
Types of friction
Depending on whether, and how, one surface is actually moving relative to another, friction is classified into three distinct types.
Long Answer Questions
+−Show 6 questionsHide questions6 questions
- Q30Distinguish between Young's modulus, bulk modulus and modulus of rigidity.Free
- Q31Define stress and strain. What are their different types?Free
- Q32What is Young's modulus? Describe an experiment to find out Young's modulus of the material in the form of a long straight wire.Preview
- Q33Derive an expression for strain energy per unit volume of the material of a wire.Preview
- Q34What is friction? Define coefficient of static friction and coefficient of kinetic friction. Give the necessary formula for each.Preview
- Q35State Hooke's law. Draw a labeled graph of tensile stress against tensile strain for a metal wire up to the breaking point. In this graph sh…Preview
More questions
42 Q+−Show 5 questionsHide questions5 questions
- Q1Change in dimensions is known as ..... (A) deformation (B) formation (C) contraction (D) strain.Free
- Q2The point on stress-strain curve at which strain begins to increase even without increase in stress is called .... (A) elastic point (B) yie…Free
- Q3Strain energy of a stretched wire is 18×10⁻³ J and strain energy per unit volume of the same wire and same cross section is 6×10⁻³ J/m³. Its…Preview
- Q4..... is the property of a material which enables it to resist plastic deformation. (A) elasticity (B) plasticity (C) hardness (D) ductility…Preview
- Q5The ability of a material to resist fracturing when a force is applied to it, is called ...... (A) toughness (B) hardness (C) elasticity (D)…Preview
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- Q6Define elasticity.Free
- Q7What do you mean by deformation?Free
- Q8State the SI unit and dimensions of stress.Free
- Q9Define strain.Preview
- Q10What is Young's modulus of a rigid body?Preview
- Q11Why are bridges unsafe after a very long use?Preview
- Q12How should a force be applied on a body to produce shearing stress?Preview
- Q13State the conditions under which Hooke's law holds good.Preview
- Q14Define Poisson's ratio.Preview
- Q15What is an elastomer?Preview
- Q16What do you mean by elastic hysteresis?Preview
- Q17State the names of the hardest material and the softest material.Preview
- Q18Define friction.Preview
- Q19Why is the force of static friction known as a 'self-adjusting force'?Preview
- Q20Name two factors on which the coefficient of friction depends.Preview
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- Q21Distinguish between elasticity and plasticity.Free
- Q22State any four methods to reduce friction.Free
- Q23What is rolling friction? How does it arise?Free
- Q24Explain how lubricants help in reducing friction.Preview
- Q25State the laws of static friction.Preview
- Q26State the laws of kinetic friction.Preview
- Q27State advantages of friction.Preview
- Q28State disadvantages of friction.Preview
- Q29What do you mean by a brittle substance? Give any two examples.Preview
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- Q36Calculate the coefficient of static friction for an object of mass 50 kg placed on a horizontal table, pulled by attaching a spring balance.…Free
- Q37A block of mass 37 kg rests on a rough horizontal plane having coefficient of static friction 0.3. Find out the least force required to just…Free
- Q38A body of mass 37 kg rests on a rough horizontal surface. The minimum horizontal force required to just start the motion is 68.5 N. In order…Free
- Q39A wire gets stretched by 4 mm due to a certain load. If the same load is applied to a wire of the same material with half the length and dou…Preview
- Q40Calculate the work done in stretching a steel wire of length 2 m and cross sectional area 0.0225 mm² when a load of 100 N is slowly applied…Preview
- Q41A solid metal sphere of volume 0.31 m³ is dropped in an ocean where the water pressure is 2×10⁷ N/m². Calculate the change in volume of the…Preview
- Q42A wire of mild steel has initial length 1.5 m and diameter 0.60 mm and is extended by 6.3 mm when a certain force is applied to it. If Young…Preview
- Q43A composite wire is prepared by joining a tungsten wire and a steel wire end to end. Both the wires are of the same length and the same area…Preview
- Q44A steel wire having cross sectional area 1.2 mm² is stretched by a force of 120 N. If a lateral strain of 1.455×10⁻⁴ is produced in the wire…Preview
- Q45A telephone wire 125 m long and 1 mm in radius is stretched to a length of 125.25 m when a force of 800 N is applied. What is the value of Y…Preview
- Q46A rubber band originally 30 cm long is stretched to a length of 32 cm by a certain load. What is the strain produced?Preview
- Q47What is the stress in a wire which is 50 m long and 0.01 cm² in cross section, if the wire bears a load of 100 kg?Preview
- Q48What is the strain in a cable of original length 50 m whose length increases by 2.5 cm when a load is lifted?Preview