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NEET Physics: Hooke's Law Practice Questions

15 free multiple-choice questions on Hooke's Law (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. Which of the following statements correctly represents the relationship described by Hooke's Law for an ideal elastic spring?

    • AThe force applied is proportional to the square of the extension.
    • BThe force applied to the spring is inversely proportional to its extension.
    • CThe extension of the spring is directly proportional to the force applied to it.
    • DThe extension of the spring is proportional to the square of the applied force.
    Show answer & explanation

    Correct answer: C — The extension of the spring is directly proportional to the force applied to it.

    Hooke's Law states that the force (F) applied to an elastic object is directly proportional to the extension (x) of the object within its elastic limit, i.e., F = kx, where k is the spring constant.

  2. Q2. A spring has a force of 10 N when stretched by 1 meter. If the spring constant (k) is calculated from this data, what is the value of k?

    • A5 N/m
    • B10 N/m
    • C0.1 N/m
    • D100 N/m
    Show answer & explanation

    Correct answer: B — 10 N/m

    Using Hooke's Law, F = kx. Here, 10 N = k × 1 m, so k = 10 N/m.

  3. Q3. Hooke's Law mathematically describes the relationship between the force applied to an elastic object and the resulting displacement. This relationship is:

    • ADirectly proportional to the square of the displacement
    • BInversely proportional to the displacement
    • CIndependent of the displacement
    • DDirectly proportional to the displacement
    Show answer & explanation

    Correct answer: D — Directly proportional to the displacement

    Hooke's Law states that the restoring force (F) is directly proportional to the extension or compression (x). Mathematically, F = -kx, where k is the spring constant.

  4. Q4. Hooke's Law describes the relationship between the force applied to a spring and its extension. This law is applicable within which range of deformation?

    • AViscous deformation
    • BPlastic deformation
    • CElastic deformation
    • DPermanent deformation
    Show answer & explanation

    Correct answer: C — Elastic deformation

    Hooke's Law applies only to the elastic deformation, meaning the object returns to its original shape after the deforming force is removed.

  5. Q5. When a spring is stretched, the potential energy stored in the spring is given by the formula U = 1/2kx². This formula is derived based on which fundamental principle?

    • AConservation of Momentum
    • BNewton's Second Law
    • CDefinition of Elastic Potential Energy
    • DWork-Energy Theorem
    Show answer & explanation

    Correct answer: C — Definition of Elastic Potential Energy

    The formula U = 1/2kx² is the mathematical expression for the elastic potential energy stored in a spring, which is directly related to the work done in stretching it.

  6. Q6. The elastic limit of a material is the maximum stress it can withstand before:

    • AIt reaches its natural length
    • BIt undergoes plastic deformation
    • CIt breaks completely
    • DIt starts to deform permanently
    Show answer & explanation

    Correct answer: D — It starts to deform permanently

    The elastic limit is the point beyond which the material will undergo permanent (plastic) deformation if the stress is increased further.

  7. Q7. When a spring is placed in equilibrium under the action of a supporting force, the magnitude of the restoring force exerted by the spring is equal to:

    • AThe applied external force
    • BZero
    • CThe extension of the spring
    • DThe weight of the spring
    Show answer & explanation

    Correct answer: A — The applied external force

    In equilibrium, the net force on the spring is zero. Therefore, the external supporting force exactly balances the magnitude of the spring's restoring force (the elastic force exerted by the spring).

  8. Q8. Which of the following statements is a direct consequence of the principle stated in Hooke's Law?

    • AThe work done in stretching the spring is always positive
    • BThe force required to stretch or compress a spring is proportional to its extension
    • CThe potential energy stored in the spring is inversely proportional to the force
    • DSprings always store energy without any loss
    Show answer & explanation

    Correct answer: B — The force required to stretch or compress a spring is proportional to its extension

    The fundamental principle of Hooke's Law is that the restoring force exerted by the spring is directly proportional to the amount it is stretched or compressed.

  9. Q9. A spring obeys Hooke's Law only within a specific range of extension. What happens when the elastic limit of a spring is exceeded?

    • AThe force applied becomes zero
    • BThe spring exhibits non-linear elastic behavior and may deform permanently (plastic deformation)
    • CThe spring continues to obey Hooke's Law with a larger k
    • DThe spring breaks immediately
    Show answer & explanation

    Correct answer: B — The spring exhibits non-linear elastic behavior and may deform permanently (plastic deformation)

    Hooke's Law is valid only within the elastic limit. Beyond this limit, the material undergoes permanent deformation, meaning it no longer obeys the linear Hooke's Law relationship.

  10. Q10. If the extension of a spring is doubled while keeping the spring constant (k) constant, what happens to the applied force required to achieve this extension?

    • AThe force remains the same.
    • BThe force is halved.
    • CThe force is quadrupled.
    • DThe force is doubled.
    Show answer & explanation

    Correct answer: D — The force is doubled.

    Since F = kx, if x is doubled and k is constant, the force F must also be doubled.

  11. Q11. When a body is subjected to an external force, the resulting change in its shape is directly related to the spring constant. If the force applied is halved, what happens to the extension of a spring?

    • AThe extension is quadrupled
    • BThe extension is doubled
    • CThe extension is halved
    • DThe extension remains unchanged
    Show answer & explanation

    Correct answer: C — The extension is halved

    Since F ∝ x (for constant k), halving the force (F) must result in halving the extension (x).

  12. Q12. In the context of Hooke's Law, if the extension of a spring is zero, what is the magnitude of the restoring force acting on it?

    • AZero force.
    • BThe force is dependent on the mass of the spring.
    • CMaximum negative force.
    • DMaximum positive force.
    Show answer & explanation

    Correct answer: A — Zero force.

    According to Hooke's Law (F = -kx), if the extension (x) is zero, the force (F) exerted on the spring is zero, as F = -k(0) = 0.

  13. Q13. Which of the following statements correctly describes the behavior of an ideal spring obeying Hooke's Law?

    • AIt deforms permanently if the force is less than the elastic limit.
    • BIt returns to its original shape only if the applied force is removed.
    • CIt exhibits non-linear behavior when stretched.
    • DIt obeys the law only for very large extensions.
    Show answer & explanation

    Correct answer: B — It returns to its original shape only if the applied force is removed.

    A spring obeying Hooke's Law is perfectly elastic. It returns to its original shape only when the external force is removed, demonstrating its restorative property.

  14. Q14. If the spring constant (k) of a spring is doubled while keeping the material the same, what happens to its stiffness?

    • AIt becomes twice as stiff.
    • BIt remains the same.
    • CIt becomes half as stiff.
    • DIt becomes four times stiffer.
    Show answer & explanation

    Correct answer: A — It becomes twice as stiff.

    The spring constant (k) is the measure of the spring's stiffness. If k is doubled, the spring becomes twice as stiff because the force required to produce a certain extension has doubled.

  15. Q15. According to Hooke's Law, the extension of a spring is directly proportional to the external force applied to it. If the spring constant (k) is kept constant, what is the mathematical relationship between the applied force (F) and the extension (Δx)?

    • AΔx ∝ F/k
    • BΔx ∝ k/F
    • CF ∝ Δx²
    • DΔx ∝ 1/F
    Show answer & explanation

    Correct answer: A — Δx ∝ F/k

    Hooke's Law states that the force (F) is proportional to the extension (Δx), i.e., F = kΔx. Rearranging this equation shows that Δx = (1/k)F. Since k is a constant for a given spring, the extension (Δx) is directly proportional to the applied force (F).

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