PracBeeLogin

Units & Measurements PYQs - Last 5 Years

JEE Main / Physics / Mechanics / 137 recent questions

PhysicsMechanics2022-2026
All Units & Measurements PYQsLast 10 YearsCreate chapter test

Practice 137 JEE Main Physics questions from Units & Measurements. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.

137
PYQs on Page
Physics / Mechanics
2022-2026
Year Range
Based on indexed question metadata
137
Last 5 Years
2022-2026
137
Last 10 Years
2017-2026

Recent Year Trend

2022
2023
2024
2025
2026Latest year
202233 max PYQs/year2026

Question Types

137PYQs
MCQ91.2%
INTEGER8.8%

Difficulty Mix

#1 Easy94
#2 Medium43
137 in last 5 years137 in last 10 years

Last 5 Years Units & Measurements Questions

Showing 37 of 137 filtered questions.

1Units And Measurements
If the velocity of light \(\mathrm{c}\), universal gravitational constant \(\mathrm{G}\) and Planck's constant \(\mathrm{h}\) are chosen as fundamental quantities. The dimensions of mass in the new system is :
MCQ+4 / -12023
2Units And Measurements
The speed of a wave produced in water is given by $v=\lambda^{a} g^{b} \rho^{c}$. Where $\lambda, g$ and $\rho$ are wavelength of wave, acceleration due to gravity and density of water respectively. The values of $a, b$ and $c$ respectively...
MCQ+4 / -12023
3Units And Measurements
A body of mass \((5 \pm 0.5) ~\mathrm{kg}\) is moving with a velocity of \((20 \pm 0.4) ~\mathrm{m} / \mathrm{s}\). Its kinetic energy will be
MCQ+4 / -12023
4Units And Measurements
In the equation \(\left[X+\frac{a}{Y^{2}}\right][Y-b]=\mathrm{R} T, X\) is pressure, \(Y\) is volume, \(\mathrm{R}\) is universal gas constant and \(T\) is temperature. The physical quantity equivalent to the ratio \(\frac{a}{b}\) is:
MCQ+4 / -12023
5Units And Measurements
Match List I with List II

.tg {border-collapse:collapse;border-spacing:0;}
.tg td{border-color:black;border-style:solid;border-width:1px;font-family:Arial, sans-serif;font-size:14px;
overflow:hidden;padding:10px 5px;word-break:normal;}
...
MCQ+4 / -12023
6Units And Measurements
Given below are two statements :
Statements I : Astronomical unit (Au), Parsec (Pc) and Light year (ly) are units for measuring astronomical distances.
Statements II : \(\mathrm{Au} < \mathrm{Parsec} (\mathrm{Pc}) < \mathrm{ly}\)
In the lig...
MCQ+4 / -12023
7Units And Measurements
If force (F), velocity (V) and time (T) are considered as fundamental physical quantity, then dimensional formula of density will be :
MCQ+4 / -12023
8Units And Measurements
A physical quantity P is given as
\(P = {{{a^2}{b^3}} \over {c\sqrt d }}\)
The percentage error in the measurement of a, b, c and d are 1%, 2%, 3% and 4% respectively. The percentage error in the measurement of quantity P will be
MCQ+4 / -12023
9Units And Measurements
In an experiment with vernier callipers of least count \(0.1 \mathrm{~mm}\), when two jaws are joined together the zero of vernier scale lies right to the zero of the main scale and 6th division of vernier scale coincides with the main scal...
MCQ+4 / -12023
10Units And Measurements
If n main scale divisions coincide with (n + 1) vernier scale divisions. The least count of vernier callipers, when each centimetre on the main scale is divided into five equal parts, will be :
MCQ+4 / -12022
11Units And Measurements
The Vernier constant of Vernier callipers is 0.1 mm and it has zero error of (\(-\)0.05) cm. While measuring diameter of a sphere, the main scale reading is 1.7 cm and coinciding vernier division is 5. The corrected diameter will be _______...
INTEGER+4 / -12022
12Units And Measurements
In an experiment to find out the diameter of wire using screw gauge, the following observations were noted :

(A) Screw moves \(0.5 \mathrm{~mm}\) on main scale in one complete rotation
(B) Total divisions on circular scale \(=50\)
(C) Main...
MCQ+4 / -12022
13Units And Measurements
A travelling microscope has 20 divisions per \(\mathrm{cm}\) on the main scale while its vernier scale has total 50 divisions and 25 vernier scale divisions are equal to 24 main scale divisions, what is the least count of the travelling mic...
MCQ+4 / -12022
14Units And Measurements
Given below are two statements : One is labelled as Assertion (A) and other is labelled as Reason (R).
Assertion (A) : Time period of oscillation of a liquid drop depends on surface tension (S), if density of the liquid is \(\rho\) and radi...
MCQ+4 / -12022
15Units And Measurements
Match List I with List II.

.tg {border-collapse:collapse;border-spacing:0;}
.tg td{border-color:black;border-style:solid;border-width:1px;font-family:Arial, sans-serif;font-size:14px;
overflow:hidden;padding:10px 5px;word-break:normal;}...
MCQ+4 / -12022
16Units And Measurements
A student in the laboratory measures thickness of a wire using screw gauge. The readings are 1.22 mm, 1.23 mm, 1.19 mm and 1.20 mm. The percentage error is \({x \over {121}}\%\). The value of x is ____________.
INTEGER+4 / -12022
17Units And Measurements
Velocity (v) and acceleration (a) in two systems of units 1 and 2 are related as \({v_2} = {n \over {{m^2}}}{v_1}\) and \({a_2} = {{{a_1}} \over {mn}}\) respectively. Here m and n are constants. The relations for distance and time in two sy...
MCQ+4 / -12022
18Units And Measurements
The dimensions of \(\left(\frac{\mathrm{B}^{2}}{\mu_{0}}\right)\) will be :
(if \(\mu_{0}\) : permeability of free space and \(B\) : magnetic field)
MCQ+4 / -12022
19Units And Measurements
In an experiment to find acceleration due to gravity (g) using simple pendulum, time period of \(0.5 \mathrm{~s}\) is measured from time of 100 oscillation with a watch of \(1 \mathrm{~s}\) resolution. If measured value of length is $$10 \m...
INTEGER+4 / -12022
20Units And Measurements
Consider the efficiency of carnot's engine is given by \(\eta=\frac{\alpha \beta}{\sin \theta} \log_e \frac{\beta x}{k T}\), where \(\alpha\) and \(\beta\) are constants. If T is temperature, k is Boltzmann constant, \(\theta\) is angular d...
MCQ+4 / -12022
21Units And Measurements
A silver wire has a mass (0.6 \(\pm\) 0.006) g, radius (0.5 \(\pm\) 0.005) mm and length (4 \(\pm\) 0.04) cm. The maximum percentage error in the measurement of its density will be :
MCQ+4 / -12022
22Units And Measurements
The SI unit of a physical quantity is pascal-second. The dimensional formula of this quantity will be :
MCQ+4 / -12022
23Units And Measurements
The one division of main scale of Vernier callipers reads \(1 \mathrm{~mm}\) and 10 divisions of Vernier scale is equal to the 9 divisions on main scale. When the two jaws of the instrument touch each other, the zero of the Vernier lies to ...
INTEGER+4 / -12022
24Units And Measurements
A torque meter is calibrated to reference standards of mass, length and time each with \(5 \%\) accuracy. After calibration, the measured torque with this torque meter will have net accuracy of :
MCQ+4 / -12022
25Units And Measurements
An expression of energy density is given by \(u=\frac{\alpha}{\beta} \sin \left(\frac{\alpha x}{k t}\right)\), where \(\alpha, \beta\) are constants, \(x\) is displacement, \(k\) is Boltzmann constant and t is the temperature. The dimension...
MCQ+4 / -12022
26Units And Measurements
In a vernier callipers, each cm on the main scale is divided into 20 equal parts. If tenth vernier scale division coincides with nineth main scale division. Then the value of vernier constant will be _________ \(\times\) 10\(-\)2 mm.
INTEGER+4 / -12022
27Units And Measurements
An expression for a dimensionless quantity P is given by \(P = {\alpha \over \beta }{\log _e}\left( {{{kt} \over {\beta x}}} \right)\); where \(\alpha\) and \(\beta\) are constants, x is distance; k is Boltzmann constant and t is the tempe...
MCQ+4 / -12022
28Units And Measurements
A travelling microscope is used to determine the refractive index of a glass slab. If 40 divisions are there in 1 cm on main scale and 50 Vernier scale divisions are equal to 49 main scale divisions, then least count of the travelling micro...
INTEGER+4 / -12022
29Units And Measurements
The dimension of mutual inductance is :
MCQ+4 / -12022
30Units And Measurements
A screw gauge of pitch \(0.5 \mathrm{~mm}\) is used to measure the diameter of uniform wire of length \(6.8 \mathrm{~cm}\), the main scale reading is \(1.5 \mathrm{~mm}\) and circular scale reading is 7 . The calculated curved surface area ...
MCQ+4 / -12022
31Units And Measurements
In a Vernier Calipers, 10 divisions of Vernier scale is equal to the 9 divisions of main scale. When both jaws of Vernier calipers touch each other, the zero of the Vernier scale is shifted to the left of zero of the main scale and $$4^{\te...
MCQ+4 / -12022
32Units And Measurements
If \(Z = {{{A^2}{B^3}} \over {{C^4}}}\), then the relative error in Z will be :
MCQ+4 / -12022
33Units And Measurements
For \(z = {a^2}{x^3}{y^{{1 \over 2}}}\), where 'a' is a constant. If percentage error in measurement of 'x' and 'y' are 4% and 12% respectively, then the percentage error for 'z' will be _______________%.
INTEGER+4 / -12022
34Units And Measurements
If momentum [P], area \([\mathrm{A}]\) and time \([\mathrm{T}]\) are taken as fundamental quantities, then the dimensional formula for coefficient of viscosity is :
MCQ+4 / -12022
35Units And Measurements
The maximum error in the measurement of resistance, current and time for which current flows in an electrical circuit are \(1 \%, 2 \%\) and \(3 \%\) respectively. The
maximum percentage error in the detection of the dissipated heat will be...
MCQ+4 / -12022
36Units And Measurements
Identify the pair of physical quantities which have different dimensions:
MCQ+4 / -12022
37Units And Measurements
Identify the pair of physical quantities that have same dimensions:
MCQ+4 / -12022