Question map
Not attempted Correct Incorrect ★ Bookmarked
Loading…
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
How others answered
Each bar shows the % of students who chose that option. Green bar = correct answer, blue outline = your choice.
Community Performance
Out of everyone who attempted this question.
100%
got it right
✓ Thank you! We'll review this.

SIMILAR QUESTIONS

NDA-II · 2009 · Q79 Relevance score: 6.10

spring has length T and spring constant ‘k It is ut into two pieces of lengths lv and Z2, such that = nlr The force constant of the spring of length is

NDA-II · 2015 · Q54 Relevance score: 1.87

In SI unit of force ‘Newton* (N) is given by (where m stands for metre and s stands for second):

CDS-II · 2016 · Q16 Relevance score: 0.97

The spring constant of a spring depends on its

NDA-I · 2010 · Q77 Relevance score: -0.72

A particle oscillates in one dimension about the equilibrium position subject to a force Fx(x) that has an associated potential energy U(x). If k is the force constant, which one of the following relations is true?