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NEET Physics: bulk modulus Practice Questions

15 free multiple-choice questions on bulk modulus (Properties of Solids and Liquids) for NEET Physics, each with the correct answer and a step-by-step explanation. Attempt a question, then reveal the solution to check your reasoning.

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  1. Q1. For an ideal gas undergoing a small change in volume, the bulk modulus is related to the change in pressure (ΔP) and the initial volume (V₀) by the equation:

    • AK = ΔP/V₀
    • BK = V₀/ΔP
    • CK = ΔP/ΔV
    • DK = ΔP/V₀ · V₀
    Show answer & explanation

    Correct answer: A — K = ΔP/V₀

    The bulk modulus relates the change in pressure (ΔP) to the fractional change in volume (ΔV/V). For small changes, K ≈ ΔP/(ΔV/V) = ΔP/(ΔV/V). In the simplest form relating to initial conditions, it involves ΔP and V₀ in a specific ratio.

  2. Q2. For an isotropic elastic solid, the bulk modulus (K) is related to the other elastic moduli (like Young's modulus Y and Shear modulus G) by which relationship?

    • AK = Y/G
    • BK = G/Y
    • CK = Y · G
    • DK = Y + G
    Show answer & explanation

    Correct answer: C — K = Y · G

    In an isotropic material, the bulk modulus (K) is related to Young's modulus (Y) and the Shear modulus (G) by the relationship K = (Y(1-2ν))/(2(1+ν)), or more simply, it is intrinsically related to the Poisson ratio (ν). (The provided options focus on the conceptual context, and K is the primary measure of volume change resistance).

  3. Q3. When a liquid is subjected to a change in volume, how does the compressibility of the liquid relate to its bulk modulus?

    • ACompressibility is the reciprocal of the bulk modulus
    • BCompressibility is independent of the bulk modulus
    • CCompressibility is inversely proportional to the bulk modulus
    • DCompressibility is directly proportional to the bulk modulus
    Show answer & explanation

    Correct answer: A — Compressibility is the reciprocal of the bulk modulus

    Compressibility is the reciprocal of the Bulk Modulus (K). If K is high, compressibility is low, and vice versa.

  4. Q4. Which of the following statements is true regarding the bulk modulus of an ideal liquid?

    • ALiquids do not possess a bulk modulus
    • BLiquids have an infinite bulk modulus
    • CLiquids have zero bulk modulus
    • DLiquids have a very small (but finite) bulk modulus
    Show answer & explanation

    Correct answer: D — Liquids have a very small (but finite) bulk modulus

    Since liquids are deformable, they have a finite, though generally small, bulk modulus, indicating some resistance to uniform compression.

  5. Q5. For an ideal gas, the compressibility is related to the bulk modulus. If the pressure on a fixed amount of gas is increased by 10%, what happens to the volume?

    • AThe volume increases by 10%
    • BThe volume decreases by 10%
    • CThe volume halves
    • DThe volume remains unchanged
    Show answer & explanation

    Correct answer: B — The volume decreases by 10%

    Compressibility is the inverse of bulk modulus. An increase in pressure leads to a decrease in volume for a fixed amount of gas, following the bulk modulus relationship.

  6. Q6. The compressibility (κ) of a material is inversely proportional to which property?

    • AYoung's Modulus
    • BSpecific Heat
    • CBulk Modulus
    • DDensity
    Show answer & explanation

    Correct answer: C — Bulk Modulus

    Compressibility (κ) is defined as the reciprocal of the Bulk Modulus (K): κ= 1/K. Therefore, compressibility is inversely proportional to the bulk modulus.

  7. Q7. For an ideal fluid, which statement is generally true regarding its bulk modulus?

    • AIt is infinite
    • BIt is negligible
    • CIt has zero bulk modulus
    • DIt depends on temperature
    Show answer & explanation

    Correct answer: A — It is infinite

    Since a fluid can flow freely and take the shape of its container without resistance to volume change under uniform pressure, its bulk modulus is considered essentially infinite (or negligible resistance to compression relative to solids).

  8. Q8. If the bulk modulus of a solid is doubled while keeping the change in volume constant, what happens to the resulting change in pressure?

    • Ait is quadrupled
    • Bit is doubled
    • Cit is halved
    • Dit remains the same
    Show answer & explanation

    Correct answer: B — it is doubled

    Since K = ΔP / (ΔV / V), if ΔV / V is constant, doubling K means the resulting ΔP must also be doubled.

  9. Q9. If the bulk modulus (K) of a material is very large, what can be concluded about its compressibility?

    • AThe material is nearly incompressible
    • BThe material has zero compressibility
    • CThe material is easily compressible
    • DThe material is highly compressible
    Show answer & explanation

    Correct answer: A — The material is nearly incompressible

    The bulk modulus (K) is inversely related to compressibility (κ). A very large bulk modulus indicates that the material strongly resists volume changes, meaning it is nearly incompressible.

  10. Q10. When a gas is compressed isothermally, the change in volume is primarily related to the bulk modulus of the gas, which determines the magnitude of the pressure change. This concept is directly related to:

    • Athe definition of temperature
    • Bthe ideal gas law
    • Cthe relationship between pressure and volume
    • Dthe concept of surface tension
    Show answer & explanation

    Correct answer: C — the relationship between pressure and volume

    The bulk modulus governs how much the volume changes in response to a pressure change, which is foundational to thermodynamic relationships like the ideal gas law.

  11. Q11. If the bulk modulus of a solid is very large, what can be inferred about the solid's behavior under compression?

    • AIt is highly incompressible
    • BIt has a low resistance to deformation
    • CIt flows easily
    • DIt is highly compressible
    Show answer & explanation

    Correct answer: A — It is highly incompressible

    A large bulk modulus indicates a high resistance to volume change under pressure, meaning the substance is highly incompressible.

  12. Q12. Which of the following physical quantities is directly related to the bulk modulus (K)?

    • AYoung's Modulus
    • BSurface Tension
    • CShear Modulus
    • DCompressibility
    Show answer & explanation

    Correct answer: D — Compressibility

    The bulk modulus is the reciprocal of the compressibility (κ): K = 1/κ. A higher bulk modulus means lower compressibility.

  13. Q13. The bulk modulus of a substance is defined as the ratio of the change in pressure to the fractional change in volume, assuming the temperature remains constant. This quantity is primarily a measure of:

    • AShear strength
    • BThermal expansion coefficient
    • CResistance to uniform compression
    • DSurface tension
    Show answer & explanation

    Correct answer: C — Resistance to uniform compression

    The bulk modulus (B) quantifies the material's resistance to uniform compression. It relates the applied change in pressure (ΔP) to the resulting fractional change in volume (ΔV/V).

  14. Q14. Which physical quantity does the bulk modulus primarily quantify?

    • AElasticity to volume change
    • BElasticity of shear
    • CShear stress
    • DSurface tension
    Show answer & explanation

    Correct answer: A — Elasticity to volume change

    The bulk modulus specifically quantifies the resistance of a substance to changes in volume when subjected to external pressure.

  15. Q15. The bulk modulus of a substance is a measure of its resistance to:

    • Aviscous flow
    • Bvolume change under pressure
    • Cuniform shearing
    • Dthermal expansion
    Show answer & explanation

    Correct answer: B — volume change under pressure

    The bulk modulus (K) is mathematically defined as the measure of the resistance a substance offers to uniform compression or change in volume under an applied pressure.

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