Q.Define Young's modulus, Bulk modulus, and modulus of rigidity using Hooke's law. Calculate Young's modulus of elasticity by Searle's method. OR

Showing the 12 most recent of 52 on this concept.

1. CBSE 2026Set ANNUAL1 markMCQ
   Q.Among the following, the material with the highest elasticity is :

   (1) Copper

   (2) Aluminium

   (3) Brass

   (4) Steel

   ›Reveal solutionSolution

   Elasticity is measured by the modulus of elasticity (e.g. Young's modulus): the higher the modulus, the more elastic the material (the smaller the strain for a given stress, and the more completely it returns to its original shape).

   Typical Young's modulus values (approximate, standard NCERT comparison): steel is markedly stiffer/more elastic than copper, brass, or aluminium — steel deforms the least under a given stress and recovers its shape most completely, so among Copper, Aluminium, Brass and Steel, steel has the highe …

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2. CBSE 2026Set ANNUAL1 markMCQ
   Q.Which of the following materials is most elastic?

   (a) Steel

   (b) Rubber

   (c) Copper

   (d) Glass

   ›Reveal solutionSolution

   "More elastic" means better at returning to the original shape/size after a deforming force is removed -- steel does this more effectively (higher Young's modulus, closer to ideal elastic behaviour under normal loads) than rubber, which is often mistakenly assumed to be "more elastic" just because it stretches a lot.

   Elasticity is the property of a material to regain its original shape and size after the removal of a deforming force -- it is NOT the same as flexibility or how much a material can stretch.

   …

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3. CBSE 2026Set ANNUAL1 markMCQ
   Q.The restoring force per unit area is known as

   (a) strain

   (b) elasticity

   (c) stress

   (d) plasticity

   ›Reveal solutionSolution

   Stress = restoring force / area, by definition.

   When a deforming force is applied to a body, internal restoring forces develop within it that try to bring it back to its original shape. The magnitude of this internal restoring force, per unit cross-sectional area, is called STRESS:

   Stress = Restoring force / Area

   …

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4. CBSE 2026Set ANNUAL1 mark
   Q.............. law states that stress is directly proportional to strain.

   ›Reveal solutionSolution

   The proportionality between stress and strain, within the elastic limit, is Hooke's Law.

   When a solid material is deformed by an external force, the internal restoring force per unit area is called stress, and the fractional change in dimension (length, volume, or shape) is called strain. For small deformations — within the material's elastic limit — experiments show stress is directly proportional to strain:

   $\text{stress} \propto \text{strain} \quad\Rightarrow\quad \text{stress} = k\times\text{strain}$ …

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5. CBSE 2026Set ANNUAL1 mark
   Q.What is Young's Modulus of a rigid body?

   ›Reveal solutionSolution

   Since $Y=\text{stress}/\text{strain}$ and a rigid body has zero strain for any stress, $Y\to\infty$.

   Young's modulus is defined as:

   $Y = \frac{\text{longitudinal stress}}{\text{longitudinal strain}}$

   A 'rigid body' is, by definition, a body whose shape and size do not change no matter how large a force (stress) is applied — its strain is always exactly zero. Substituting strain $=0$ into the formula makes the ratio undefined in the finite sense, i.e. it tends to i …

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6. CBSE 2026Set ANNUAL1 markMCQ
   Q.The Young's Modulus for a perfect rigid body is:

   (a) 0.5

   (b) zero

   (c) infinity

   (d) 1

   ›Reveal solutionSolution

   Young's modulus is stress divided by strain; a perfectly rigid body has zero strain for any stress (it never deforms), so its Young's modulus is infinite.

   Young's modulus is defined as

   Y = (longitudinal stress)/(longitudinal strain) = (F/A)/(deltaL/L)

   A 'perfectly rigid body' is an idealization in which the body does not change its shape or size at all, no matter how large a force (stress) is applied — that is, deltaL = 0 always, so strain = deltaL/L = 0.

   …

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7. CBSE 2026Set ANNUAL1 markMCQ
   Q.Substances like tissue of aorta, rubber etc. which can be stretched to cause large strain are called -

   (a) elastic substances

   (b) Inelastic substances

   (c) elastomer substances

   (d) brittle substances

   ›Reveal solutionSolution

   Materials that show a large elastic (recoverable) strain for a given stress, without obeying Hooke's law over most of that range, are called elastomers.

   Most elastic materials, like steel, obey Hooke's law and can only sustain small strains (typically under 1%) before permanent deformation. Elastomers — such as rubber and the elastic tissue found in blood vessels like the aorta — are a special class of elastic substances that can be stretched to very large strains (several hundred percent) while still recovering their original shape when the deforming force is removed. Their stress-strain curve is markedly non-linear, unlike Hookean solids.

   …

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8. CBSE 2026Set ANNUAL1 mark
   Q.Fill in the blank: The ratio of lateral strain to the longitudinal strain in a stretched wire is called ____.

   ›Reveal solutionSolution

   The ratio of lateral strain to longitudinal strain in a stretched wire is called Poisson's ratio.

   When a wire of original length L and diameter D is stretched by a longitudinal force, it becomes longer (longitudinal strain = ΔL/L) and simultaneously its diameter decreases slightly (lateral strain = ΔD/D). For a given material, within the elastic limit, the ratio of these two strains is constant: …

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9. CBSE 2026Set ANNUAL1 markMCQ
   Q.The unit of Young's modulus of elasticity is

   (a) N/m^2

   (b) N-m^2

   (c) joule (J)

   (d) unitless

   ›Reveal solutionSolution

   Young's modulus has the unit N/m^2 (pascal). Answer (A).

   Young's modulus Y = (longitudinal stress)/(longitudinal strain).

   …

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10. CBSE 2026Set ANNUAL1 markMCQ
    Q.The Young's modulus of a perfectly rigid body is

    (a) zero

    (b) 1

    (c) infinite

    (d) between zero and one

    ›Reveal solutionSolution

    A perfectly rigid body has zero strain, giving infinite Young's modulus. Answer (C).

    Y = stress/strain. A perfectly rigid body cannot be deformed, so no matter how much stress is applied, the strain remains zero.

    …

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11. CBSE 2026Set ANNUAL1 markMCQ
    Q.Elastic potential energy in a stretched wire is

    (a) 1/2 × stress × strain

    (b) 1/2 × stress × strain^2

    (c) 1/2 × stress × strain × volume of the wire

    (d) 1/2 × stress × strain^2 × volume of the wire

    ›Reveal solutionSolution

    Elastic PE = ½ x stress x strain x volume. Answer (C).

    The energy stored per unit volume (energy density) in a stretched wire is u = ½ x stress x strain.

    …

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12. CBSE 2026Set ANN1 mark
    Q.Steel is more elastic than rubber. (True / False)

    ›Reveal solutionSolution

    True: steel is more elastic than rubber because it regains its shape with a much larger restoring stress (higher Young's modulus).

    In physics, a material is more elastic if it develops a greater restoring force (stress) for a given deformation (strain) and returns more exactly to its original shape when the load is removed. Elasticity is measured by the modulus of elasticity (Young's modulus): the larger the modulus, the more elastic the material.

    …

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