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JEE Main Units and Measurements questions with solutions

Dimensional analysis, significant figures, errors and measuring instruments. 10 questions from our 2016–2025 JEE Main pattern papers, from the Class 11 Physics syllabus. Each has the answer and a full solution.

Also practise: Units and Measurements for JEE Advanced

JEE Main 2025

In an experiment to find g with a simple pendulum, the length is measured as L = 1.000 m using a metre scale of least count 1 mm, and the time for 20…JEE Main 2025 · easy

JEE Main 2024

The acceleration due to gravity is found from a simple pendulum using g = 4π^2 L/T^2. The length is measured as L = 100.0 cm with a least count of…JEE Main 2024 · easy

JEE Main 2023

In a simple pendulum experiment the length is read as 100.0 cm with a scale of least count 0.1 cm, and 50 complete oscillations are timed as 100.0 s…JEE Main 2023 · easy

JEE Main 2022

A physical quantity is given by X=(a^3√(b))/(c^2d). The percentage errors in measuring a,b,c,d are 1%, 4%, 2%, 3% respectively. The maximum…JEE Main 2022 · easy

JEE Main 2021

In an experiment to find g with a simple pendulum, the length is measured as L = 98.0 cm with a least count of 0.1 cm, and the total time for 50…JEE Main 2021 · easy

JEE Main 2020

In an experiment on the simple pendulum, the length is measured as L = 100.0 cm with a metre scale of least count 0.1 cm, and the total time for 20…JEE Main 2020 · medium

JEE Main 2019

A student finds g from the time period of a simple pendulum, g = 4π^2 L/T^2. The length is measured as L = 1.00 m with an uncertainty of 0.01 m. The…JEE Main 2019 · easy

JEE Main 2018

To find g, a student times 20 oscillations of a simple pendulum. The length is measured as 1.00 m with a metre rule of least count 1 cm, and the…JEE Main 2018 · medium

JEE Main 2017

In an experiment to find g with a simple pendulum, the length is measured as L = 1.00 m with an uncertainty of 1 mm. The time for 20 oscillations is…JEE Main 2017 · easy

JEE Main 2016

In a system of units, force F, velocity V and time T are taken as the fundamental quantities. The dimensions of mass density in this system areJEE Main 2016 · medium

Other Physics topics

Atoms, Nuclei and Dual Nature of Radiation 29 Calorimetry and Heat Transfer 13 Capacitors 10 Current Electricity 13 Electromagnetic Induction and Alternating Current 16 Electrostatics 15 Fluid Mechanics, Elasticity and Surface Tension 15 Gravitation 10 Kinematics and Laws of Motion 27 Magnetic Effects of Current 24 Ray and Wave Optics 16 Rotational Motion 16 Semiconductors and Communication 11 Simple Harmonic Motion 11 Thermodynamics and Kinetic Theory of Gases 19 Waves and Sound 23 Work, Energy and Power 11