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Units and Measurements
JEE Advanced · Physics · 39 past questions
Topic
Dimensional analysis and formulas
10
Vernier calipers
5
Dimensions of physical quantities and units
4
Error propagation
4
Experiments with error analysis
4
Screw gauge and Searle's experiment
4
Systems of units and unit conversion
1
Level
Easy
6
Moderate
32
Tough
1
Year
2026
2
2025
3
2024
1
2023
1
2022
0
2021
2
2020
1
2019
1
2018
1
2017
1
2016
3
2015
4
2014
2
2013
3
2012
1
2011
3
2010
1
2008
1
2007
1
32 of 39 ·
show all
Q1
2026 Paper 2
Two thin wires, Wire-1 of diameter 0.650 mm and Wire-2 of unknown diameter $d$ are given. To obtain the value…
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Q2
2026 Paper 2
In a new system of units, the units of mass, length, time and current are 5 kg, 5 m, 5 s and 5 A…
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Q3
2025 Paper 1
Figure 1 shows the configuration of main scale and Vernier scale before measurement. Fig. 2 shows the…
(with a figure)
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Q4
2025 Paper 1
Length, breadth and thickness of a strip having a uniform cross section are measured to be 10.5 cm, 0.05 mm…
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Q5
2025 Paper 2
A temperature difference can generate e.m.f. in some materials. Let $S$ be the e.m.f. produced per unit…
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Q6
2024 Paper 1
A dimensionless quantity is constructed in terms of electronic charge $e$, permittivity of free space…
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Q9
2023 Paper 2
Young's modulus of elasticity $Y$ is expressed in terms of three derived quantities, namely, the…
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Q11
2021 Paper 1
The smallest division on the main scale of a Vernier calipers is 0.1 cm. Ten divisions of the Vernier scale…
(with a figure)
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Q12
2021 Paper 2
A physical quantity $\vec{S}$ is defined as $\vec{S} = (\vec{E} \times \vec{B})/\mu_0$, where $\vec{E}$ is…
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Q13
2020 Paper 1
Sometimes it is convenient to construct a system of units so that all quantities can be expressed in terms of…
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Q14
2019 Paper 1
Let us consider a system of units in which mass and angular momentum are dimensionless. If length has…
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Q17
2018 Paper 1
PARAGRAPH "A"…
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Q19
2017 Paper 2
A person measures the depth of a well by measuring the time interval between dropping a stone and receiving…
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Q20
2016 Paper 1
A length-scale ($l$) depends on the permittivity ($\varepsilon$) of a dielectric material, Boltzmann constant…
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Q21
2016 Paper 2
There are two Vernier calipers both of which have 1 cm divided into 10 equal divisions on the main scale. The…
(with a figure)
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Q22
2016 Paper 2
In an experiment to determine the acceleration due to gravity $g$, the formula used for the time period of a…
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Q23
2015 Paper 1
Consider a Vernier callipers in which each 1 cm on the main scale is divided into 8 equal divisions and a…
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Q24
2015 Paper 1
Planck's constant $h$, speed of light $c$ and gravitational constant $G$ are used to form a unit of length…
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Q25
2015 Paper 2
The energy of a system as a function of time $t$ is given as $E(t) = A^2\exp(-\alpha t)$, where…
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Q26
2015 Paper 2
In terms of potential difference $V$, electric current $I$, permittivity $\varepsilon_0$, permeability…
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Q27
2014 Paper 1
During Searle's experiment, zero of the Vernier scale lies between $3.20 \times 10^{-2}\,m$ and…
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Q28
2014 Paper 1
To find the distance $d$ over which a signal can be seen clearly in foggy conditions, a railways engineer…
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Q29
2013 Paper 1
The diameter of a cylinder is measured using a Vernier callipers with no zero error. It is found that the…
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Q30
2013 Paper 2
Using the expression $2d \sin\theta = \lambda$, one calculates the values of $d$ by measuring the…
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Q31
2013 Paper 2
Match List I with List II and select the correct answer using the codes given below the lists…
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Q32
2012 Paper 1
In the determination of Young's modulus $\left(Y = \dfrac{4MLg}{\pi l d^2}\right)$ by using Searle's method…
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Q33
2011 Paper 1
Paragraph for Question Nos. 38 and 39…
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Q34
2011 Paper 1
Four point charges, each of +q, are rigidly fixed at the four corners of a square planar soap film of side…
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Q35
2011 Paper 2
The density of a solid ball is to be determined in an experiment. The diameter of the ball is measured with a…
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Q36
2010 Paper 1
A student uses a simple pendulum of exactly 1m length to determine g, the acceleration due to gravity. He…
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Q38
2008 Paper 1
Students I, II and III perform an experiment for measuring the acceleration due to gravity ($g$) using a…
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Q39
2007 Paper 1
Some physical quantities are given in Column I and some possible SI units in which these quantities may be…
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