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Q105 (CDS-I/2020) Science & Technology › Basic Science (Physics, Chemistry, Biology) › Basic mechanics concepts Answer Verified

The unit of the force constant k of a spring is

Result
Your answer: —  Â·  Correct: B
Explanation

The force constant, commonly referred to as the spring constant (k), is a measure of a spring's stiffness. According to Hooke's Law, the restoring force (F) exerted by a spring is directly proportional to its displacement (x) from the equilibrium position, expressed by the formula F = -kx. To find the unit of the force constant, the equation is rearranged as k = F/x. Since the SI unit of force is the newton (N) and the SI unit of displacement or distance is the metre (m), the resulting unit for the force constant is newtons per metre, written as N/m. This unit indicates the amount of force required to stretch or compress the spring by one unit of distance. Other options like N/m2 represent pressure, which is force per unit area [1].

Sources

  1. [1] Science ,Class VIII . NCERT(Revised ed 2025) > Chapter 6: Pressure, Winds, Storms, and Cyclones > 6.1 Pressure > p. 82
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