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Previous year question hub

Units And Measurements - Mechanics - Physics Previous Year Questions

Practice Units And Measurements - Mechanics - Physics previous year questions organised from real papers, with year-wise coverage and clear topic navigation.

13Papers
12Years
20Questions
1Topics

Units And Measurements question pattern

Every graph below is calculated only from this selection.

Questions by year

Year-wise coverage for Units And Measurements. Each bar uses a separate theme-derived color.

Difficulty distribution

How the classified questions are distributed by difficulty.

Not classified 21 100%

Question type distribution

MCQ, numerical, multiple-select and other formats found in these papers.

Multiple Choices 20 95.2%
Subjective 1 4.8%

Subject weightage

Top subjects by unique question coverage.

Physics
20 Qs

Most asked topics

Top topics across the included previous year papers.

Mechanics
20 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Units And Measurements
20 Qs

Paper coverage

Question coverage for the most populated papers. Every active PYP paper remains listed below.

WB JEE 2026
2 Qs
WB JEE 2026
1 Qs
WB JEE 2025
3 Qs
WB JEE 2024
2 Qs
WB JEE 2023
2 Qs
WB JEE 2022
2 Qs
WB JEE 2021
1 Qs
WB JEE 2020
1 Qs
WB JEE 2019
2 Qs
WB JEE 2018
1 Qs
WB JEE 2017
1 Qs
WB JEE 2016
1 Qs
WB JEE 2008
2 Qs

Included previous year papers

Newest papers appear first. Sort by year, question coverage or name.

PaperYear / sessionQuestions in this viewOpen
WB JEE 202620262View paper
WB JEE 202620261View paper
WB JEE 202520253View paper
WB JEE 202420242View paper
WB JEE 202320232View paper
WB JEE 202220222View paper
WB JEE 202120211View paper
WB JEE 202020201View paper
WB JEE 201920192View paper
WB JEE 201820181View paper
WB JEE 201720171View paper
WB JEE 201620161View paper
WB JEE 200820082View paper

All Units And Measurements previous year questions

Practice every matching question in batches of 20, with every available option.

1
2016 · Physics · Mechanics · Units And Measurements
WB JEE 2016
If x = at + bt2, where x is in metre (m) and t is in hour (h), then unit of b will be
A
\({{{m^2}} \over h}\)
B
m
C
\({m \over h}\)
D
\({m \over {{h^2}}}\)
Open complete paper
2
2017 · Physics · Mechanics · Units And Measurements
WB JEE 2017
The dimension of the universal constant of gravitation, G is
A
\([M{L^2}{T^{ - 1}}]\)
B
\([{M^{ - 1}}{L^3}{T^{ - 2}}]\)
C
\([{M^{ - 1}}{L^2}{T^{ - 2}}]\)
D
\([M{L^3}{T^{ - 2}}]\)
Open complete paper
3
2018 · Physics · Mechanics · Units And Measurements
WB JEE 2018
A spherical liquid drop is placed on a horizontal plane. A small distance causes the volume of the drop to oscillate. The time period of oscillation (T) of the liquid drop depends on radius (r) of the drop, density (\(\rho\)) and surface tension (S) of th liquid. Which among the following will be a possible expression for T (where, k is a dimensionless constant)?
A
\(k\sqrt {{{\rho r} \over S}}\)
B
\(k\sqrt {{{{\rho ^2}r} \over S}}\)
C
\(k\sqrt {{{\rho {r^3}} \over S}}\)
D
\(k\sqrt {{{\rho {r^3}} \over {{S^2}}}}\)
Open complete paper
4
2019 · Physics · Mechanics · Units And Measurements
WB JEE 2019
The density of the material of a cube can be estimated by measuring its mass and the length of one of its sides. If the maximum error in the measurement of mass and length are 0.3% and 0.2% respectively, the maximum error in the estimation of the density of the cube is approximately
A
1.1%
B
0.5%
C
0.9%
D
0.7%
Open complete paper
5
2019 · Physics · Mechanics · Units And Measurements
WB JEE 2019
The correct dimensional formula for impulse is given by
A
ML2t\(-\)2
B
MLT\(-\)1
C
ML2t\(-\)1
D
MLT\(-\)2
Open complete paper
6
2020 · Physics · Mechanics · Units And Measurements
WB JEE 2020
The frequency v of the radiation emitted by an atom when an electron jumps from one orbit to another is given by v = k\(\delta\)E, where k is a constant and \(\delta\)E is the change in energy level due to the transition. Then, dimension of k is
A
\({\left[ {M{L^2}{T^{ - 2}}} \right]}\)
B
the same dimension of angular momentum
C
\({\left[ {M{L^2}{T^{ - 1}}} \right]}\)
D
\(\left[ {{M^{ - 1}}{L^{ - 2}}T} \right]\)
Open complete paper
7
2021 · Physics · Mechanics · Units And Measurements
WB JEE 2021
From dimensional analysis, the Rydberg constant can be expressed in terms of electric charge (e), mass (m) and Planck constant (h) as [consider \({1 \over {4\pi {\varepsilon _0}}} \equiv 1\) unit]
A
\({{{h^2}} \over {m{e^2}}}\)
B
\({{m{e^4}} \over {{h^2}}}\)
C
\({{{m^2}{e^4}} \over {{h^2}}}\)
D
\({{m{e^2}} \over {{h^2}}}\)
Open complete paper
8
2022 · Physics · Mechanics · Units And Measurements
WB JEE 2022

The Entropy (S) of a black hole can be written as \(S = \beta {k_B}A\), where kB is the Boltzmann constant and A is the area of the black hole. The \(\beta\) has dimension of

A
L2
B
ML2L\(-\)1
C
L\(-\)2
D
dimensionless
Open complete paper
9
2022 · Physics · Mechanics · Units And Measurements
WB JEE 2022

Given : The percentage error in the measurements of A, B, C and D are respectively, 4%, 2%, 3% and 1%. The relative error in \(Z = {{{A^4}{B^{{1 \over 3}}}} \over {C{D^{{3 \over 2}}}}}\) is

A
\({{127} \over 2}\%\)
B
\({{127} \over 5}\%\)
C
\({{127} \over 6}\%\)
D
\({{127} \over 7}\%\)
Open complete paper
10
2023 · Physics · Mechanics · Units And Measurements
WB JEE 2023

A modified gravitational potential is given by \(\mathrm{V}=-\frac{\mathrm{GM}}{\mathrm{r}}+\frac{\mathrm{A}}{\mathrm{r}^{2}}\). If the constant A is expressed in terms of gravitational constant (G), mass (M) and velocity of light (c), then from dimensional analysis, A is,

A
\(\frac{G^{2} M^{2}}{c^{2}}\)
B
\(\frac{\mathrm{GM}}{\mathrm{c}^{2}}\)
C
\(\frac{1}{c^{2}}\)
D
Dimensionless
Open complete paper
11
2023 · Physics · Mechanics · Units And Measurements
WB JEE 2023

In an experiment, the length of an object is measured to be 6.50 cm. This measured value can be written as 0.0650 m. The number of significant figures on 0.0650 m is

A
3
B
4
C
2
D
5
Open complete paper
12
2024 · Physics · Mechanics · Units And Measurements
WB JEE 2024

Which of the following quantity has the dimension of length ?

(h is Planck's constant, m is the mass of electron and c is the velocity of light)

A
\(\frac{\mathrm{hc}}{\mathrm{m}}\)
B
\(\frac{\mathrm{h}}{\mathrm{mc}^2}\)
C
\(\frac{\mathrm{h}^2}{\mathrm{mc}^2}\)
D
\(\frac{\mathrm{h}}{\mathrm{mc}}\)
Open complete paper
13
2024 · Physics · Mechanics · Units And Measurements
WB JEE 2024

The Power \((\mathrm{P})\) radiated from an accelerated charged particle is given by \(\mathrm{P} \propto \frac{(q \mathrm{a})^{\mathrm{m}}}{\mathrm{c}^{\mathrm{n}}}\) where \(\mathrm{q}\) is the charge, \(\mathrm{a}\) is the acceleration of the particle and \(\mathrm{c}\) is speed of light in vacuum. From dimensional analysis, the value of \(m\) and \(n\) respectively, are

A
\(\mathrm{m=2, n=2}\)
B
\(\mathrm{m}=2, \mathrm{n}=3\)
C
\(\mathrm{m}=3, \mathrm{n}=2\)
D
\(\mathrm{m}=0, \mathrm{n}=1\)
Open complete paper
14
2025 · Physics · Mechanics · Units And Measurements
WB JEE 2025

A quantity $X$ is given by $\varepsilon_0 L \frac{\Delta V}{\Delta t}$, where $\varepsilon_0$ is the permittivity of free space, $L$ is the length, $\Delta V$ is a potential difference and $\Delta t$ is a time interval. The dimension of $X$ is same as that of

A
Resistance
B
Charge
C
Voltage
D
Current
Open complete paper
15
2025 · Physics · Mechanics · Units And Measurements
WB JEE 2025

The resistance $\mathrm{R}=\frac{\mathrm{V}}{\mathrm{I}}$ where $\mathrm{V}=(25 \pm 0.4)$ Volt and $\mathrm{I}=(200 \pm 3)$ Ampere. The percentage error in ' $R$ ' is

A
$1.5 \%$
B
$1.6 \%$
C
$3.1 \%$
D
$0.1 \%$
Open complete paper
16
2025 · Physics · Mechanics · Units And Measurements
WB JEE 2025
If the dimensions of length are expressed as $G^x C^y h^z$, where $G, C$ and $h$ are the universal gravitational constant, speed of light and Planck's constant respectively, then
A
$x=\frac{1}{2}, y=\frac{1}{2}$
B
$x=\frac{1}{2}, z=\frac{1}{2}$
C
$y=\frac{1}{2}, z=\frac{3}{2}$
D
$y=\frac{3}{2}, z=\frac{1}{2}$
Open complete paper
17
2008 · Physics · Mechanics · Units And Measurements
WB JEE 2008

The velocity of a particle (v) at an instant t is given by \(v = at + b{t^2}\) the dimension of b is

A
L
B
LT\(-\)1
C
LT\(-\)2
D
LT\(-\)3
Open complete paper
18
2008 · Physics · Mechanics · Units And Measurements
WB JEE 2008

Write down the relation between tesla and gauss.

Write your response
Open complete paper
19
2026 · Physics · Mechanics · Units And Measurements
WB JEE 2026

Density and volume of a body are given as $(20 \pm 4) \mathrm{gm} / \mathrm{cm}^3$ and $(10 \pm 1) \mathrm{cm}^3$ respectively. The absolute error in measurement of mass is

A

20 gm

B

30 gm

C

45 gm

D

60 gm

Open complete paper
20
2026 · Physics · Mechanics · Units And Measurements
WB JEE 2026

The velocity $v$ of a particle at time $t$ is given by $v=a t+\frac{b}{t+c}$, where $a, b$ and $c$ are constants. The dimension of $a, b$ and $c$ are, respectively

A

$L T^2, L T, L$

B

$L, L T, T^2$

C

$L T^{-2}, L, T$

D

$L^2, T, L T^2$

Open complete paper