Units & Measurements · Physics · JEE Advanced
Start PracticeNumerical
JEE Advanced 2024 Paper 2 Online
The dimensions of a cone are measured using a scale with a least count of $2 \mathrm{~mm}$. The diameter of the base and the height are both measured ...
JEE Advanced 2023 Paper 1 Online
In an experiment for determination of the focal length of a thin convex lens, the distance of the object from the lens is $10 \pm 0.1 \mathrm{~cm}$ an...
JEE Advanced 2022 Paper 2 Online
In a particular system of units, a physical quantity can be expressed in terms of the electric charge $e$, electron mass $m_{e}$, Planck's constant $h...
JEE Advanced 2019 Paper 2 Offline
An optical bench has 1.5 m long scale having four equal divisions in each cm. While measuring the focal length of a convex lens, the lens is kept at 7...
JEE Advanced 2018 Paper 2 Offline
A steel wire of diameter $$0.5$$ $$mm$$ and Young's modulus $$2 \times {10^{11}}\,\,N{m^{ - 2}}$$ carries a load of mass $$M.$$ The length of the wire...
JEE Advanced 2015 Paper 2 Offline
The energy of a system as a function of time t is given as E(t) = $${A^2}\exp \left( { - \alpha t} \right)$$, where $$\alpha = 0.2\,{s^{ - 1}}$$. The...
JEE Advanced 2014 Paper 1 Offline
During Searle's experiment, zero of the Vernier scale lies between 3.20 $$ \times $$ 10-2 m and 3.25 $$ \times $$ 10-2 m of the
main scale. The 20th d...
JEE Advanced 2014 Paper 1 Offline
To find the distance d over which a signal can be seen clearly in foggy conditions, a railways engineer uses
dimensional analysis and assumes that the...
MCQ (Single Correct Answer)
JEE Advanced 2024 Paper 1 Online
A dimensionless quantity is constructed in terms of electronic charge $e$, permittivity of free space $\varepsilon_0$, Planck's constant $h$, and spee...
JEE Advanced 2023 Paper 2 Online
Young's modulus of elasticity $Y$ is expressed in terms of three derived quantities, namely, the gravitational constant $G$, Planck's constant $h$ and...
JEE Advanced 2022 Paper 2 Online
Area of the cross-section of a wire is measured using a screw gauge. The pitch of the main scale is $0.5 \mathrm{~mm}$. The circular scale has 100 di...
JEE Advanced 2021 Paper 1 Online
The smallest division on the main scale of a Vernier calipers is 0.1 cm. Ten divisions of the Vernier scale correspond to nine divisions of the main s...
JEE Advanced 2018 Paper 1 Offline
If the measurement errors in all the independent quantities are known, then it is possible to determine the error in any dependent quantity. This is d...
JEE Advanced 2018 Paper 1 Offline
If the measurement errors in all the independent quantities are known, then it is possible to determine the error in any dependent quantity. This is d...
JEE Advanced 2017 Paper 2 Offline
A person measures the depth of a well by measuring the time interval between dropping a stone and receiving the sound of impact with the bottom of the...
JEE Advanced 2016 Paper 2 Offline
There are two Vernier calipers both of which have 1 cm divided into 10 equal divisions on the main scale.
The Vernier scale of one of the calipers (C1...
JEE Advanced 2013 Paper 2 Offline
Match List I with List II and select the correct answer using the codes given below the lists:
List I
P. Boltzmann Constant
Q. Coefficient of viscosit...
JEE Advanced 2013 Paper 1 Offline
The diameter of a cylinder is measured using a Vernier callipers with no zero error. It is found that the zero
of the Vernier scale lies between 5.10 ...
IIT-JEE 2012 Paper 1 Offline
In the determination of Young's modulus $$\left( {Y = {{4MLg} \over {\pi l{d^2}}}} \right)$$
by using Searle's method, a wire of length L = 2 m
and di...
IIT-JEE 2011 Paper 1 Offline
A dense collection of equal number of electrons and positive ions is called neutral plasma. Certain solids containing
fixed positive ions surrounded b...
IIT-JEE 2011 Paper 2 Offline
The density of a solid ball is to be determined in an experiment. The diameter of the ball is measured with
a screw gauge, whose pitch is 0.5 mm and t...
IIT-JEE 2010 Paper 2 Offline
A vernier calipers has 1 mm marks on the main scale. It has 20 equal divisions on the Vernier scale which match with 16 main scale divisions. For this...
IIT-JEE 2008 Paper 1 Offline
Student I, II and III perform an experiment for measuring the acceleration due to gravity (g) using a
simple pendulum. They use different length of th...
IIT-JEE 2007
Some physical quantities are given in Column I and some possible SI units in which these quantities may be expressed
are given in Column II. Match the...
IIT-JEE 2007 Paper 2 Offline
A student performs an experiment to determine the Young's modulus of a wire, exactly 2 m long,
by Searle's method. In a particular reading, the studen...
IIT-JEE 2006
In a screw gauge, the zero of main scale coincides with the fifth division of circular scale in figure (i).The circular division of screw gauge is 50....
IIT-JEE 2006
A student performs an experiment for determination of $$\mathrm g\left(=\frac{4\mathrm\pi^2\mathcal l}{\mathrm T^2}\right)$$.
The error in length $$\m...
IIT-JEE 2005 Screening
Which of the following set have different dimensions?
IIT-JEE 2004 Screening
A wire of length $$l = 6 \pm 0.06$$ cm and $$r = 0.5 \pm 0.005$$ cm and mass $$m = 0.3 \pm 0.003$$ gm. Maximum percentage error in density is
IIT-JEE 2004 Screening
Pressure depends on distance as, $$P = {\alpha \over \beta }\exp \left( { - {{\alpha z} \over {k\theta }}} \right)$$, where $$\alpha $$, $$\beta $$ a...
IIT-JEE 2003 Screening
A cube has a side of length 1.2 ✕ 10-2 m. Calculate its volume.
IIT-JEE 2001 Screening
A quantity X is given by $${\varepsilon _0}L{{\Delta V} \over {\Delta t}}$$ where $${\varepsilon _0}$$ is the permittivity of the free space, L is a l...
IIT-JEE 2000 Screening
The dimension of $$\left( {{1 \over 2}} \right){\varepsilon _0}{E^2}$$
( $${\varepsilon _0}$$ : permittivity of free space, E electric field )
MCQ (More than One Correct Answer)
JEE Advanced 2021 Paper 2 Online
A physical quantity $$\overrightarrow S $$ is defined as $$\overrightarrow S = (\overrightarrow E \times \overrightarrow B )/{\mu _0}$$, where $$\ov...
JEE Advanced 2020 Paper 1 Offline
Sometimes it is convenient to construct a system of units so that all quantities can be expressed in
terms of only one physical quantity. In one such ...
JEE Advanced 2019 Paper 1 Offline
Let us consider a system of units in which mass and angular momentum are dimensionless. If length has dimension of L, which of the following statement...
JEE Advanced 2016 Paper 2 Offline
In an experiment to determine the acceleration due to gravity g, the formula used for the time period of a
periodic motion is $$T = 2\pi \sqrt {{{7\le...
JEE Advanced 2016 Paper 1 Offline
A length-scale (l) depends on the permittivity ($$\varepsilon $$) of a dielectric material, Boltzmann constant (kB), the absolute temperature (T), the...
JEE Advanced 2015 Paper 1 Offline
Consider a Vernier callipers in which each 1 cm on the main scale is divided into 8 equal divisions and a
screw gauge with 100 divisions on its circul...
JEE Advanced 2015 Paper 1 Offline
Planck's constant h, speed of light c and gravitational constant G are used to form a unit of length L and a
unit of mass M. Then the correct option(s...
IIT-JEE 2010 Paper 1 Offline
A student uses a simple pendulum of exactly 1m length to determine g, the acceleration due to gravity. He
uses a stop watch with the least count of 1 ...
IIT-JEE 1998
The SI unit of inductance, the henry can be written as
IIT-JEE 1998
Let [$${\mathrm\varepsilon}_\mathrm o$$] denote the dimentional formula of the permittivity of the vacuum, and [$$\mu_o$$] that of the permeability of...
IIT-JEE 1995 Screening
The pairs of physical quantities that have the same dimensions is (are):
IIT-JEE 1986
The dimensions of the quantities in one ( or more ) of the following pairs are the same. Identify the pair(s)
Subjective
IIT-JEE 2005
The side of a cube is measured by vernier callipers (10 divisions of a vernier scale coincide with
9 divisions of main scale, where 1 division of main...
IIT-JEE 2004
In Searle's experiment, which is used to find Young's Modulus of elasticity, the diameter of experimental wire is D = 0.05 cm ( measured by a scale of...
IIT-JEE 2004
A screw gauge having 100 equal divisions and a pitch of length 1 mm is used to measure the diameter of a wire of length 5.6 cm. The main scale reading...
IIT-JEE 2003
If nth divisions of the main scale coincide with (n+1)th divisions
of vernier scale. Given one main scale division is equal to 'a' units. Find the
lea...
IIT-JEE 1990
Column - I gives the three physical quantities. Select the appropriate units for the choices given in Column - II. Some of the physical quantities may...
IIT-JEE 1983
Match the physical quantities given in column I with dimension expressed in terms of mass (M), length (L), time (T), and charge (Q) given in column II...
IIT-JEE 1982
Write the dimensions of the followings in terms of mass, time, length and charge
(i) magnetic flux
(ii) rigidity modulus
IIT-JEE 1981
A gas bubble, from an explosion under water, oscillates with a period T proportional to padbEc. Where 'P' is the static pressure, 'd' is the density o...
IIT-JEE 1980
Give the MKS units for each of the following quantities.
(i) Young's modulus
(ii) Magnetic Induction
(iii) Power of a lens
Fill in the Blanks
IIT-JEE 1997
The equation of state for real gas is given by $$\left( {P + {a \over {{V^2}}}} \right)\left( {V - b} \right) = RT$$. The dimention of the constant a ...
IIT-JEE 1988
In the formula X = 3YZ2, X and Z have dimensions of capacitance and magnetic induction respectively. The dimensions of Y in MKSQ system are __________...
IIT-JEE 1985
Plank' constant has dimension __________.