Units & Measurements PYQs - Last 10 Years

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Practice 210 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.

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Physics / Mechanics

2017-2026

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137

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2022-2026

210

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2017-2026

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137 in last 5 years210 in last 10 years

Last 10 Years Units & Measurements Questions

Showing 50 of 210 filtered questions.

1Units And Measurements

In a Screw Gauge, fifth division of the circular scale coincides with the reference line when the ratchet is closed. There are 50 divisions on the circular scale, and the main scale moves by 0.5 mm on a complete rotation. For a particular o...

2Units And Measurements

The acceleration due to gravity is found upto an accuracy of 4% on a planet. The energy supplied to a simple pendulum to known mass 'm' to undertake oscillations of time period T is being estimated. If time period is measured to an accuracy...

INTEGER+4 / -12021

3Units And Measurements

If the length of the pendulum in pendulum clock increases by 0.1%, then the error in time per day is :

4Units And Measurements

Match List - I with List - II Choose the most appropriate answer from the options given below :

5Units And Measurements

Student A and student B used two screw gauges of equal pitch and 100 equal circular divisions to measure the radius of a given wire. The actual value of the radius of the wire is 0.322 cm. The absolute value of the difference between the fi...

INTEGER+4 / -12021

6Units And Measurements

The force is given in terms of time t and displacement x by the equation F = A cos Bx + C sin DtThe dimensional formula of \({{AD} \over B}\) is :

7Units And Measurements

Match List - I with List - II :

List I

List II

(a)
h (Planck's constant)
(i)
\([ML{T^{ - 1}}]\)

(b)
E (kinetic energy)
(ii)
\([M{L^2}{T^{ - 1}}]\)

(c)
V (elec...

8Units And Measurements

The pitch of the screw gauge is 1 mm and there are 100 divisions on the circular scale. When nothing is put in between the jaws, the zero of the circular scale lies 8 divisions below the reference line. When a wire is placed between the jaw...

9Units And Measurements

If e is the electronic charge, c is the speed of light in free space and h is Planck's constant, the quantity \({1 \over {4\pi {\varepsilon _0}}}{{|e{|^2}} \over {hc}}\) has dimensions of :

10Units And Measurements

The work done by a gas molecule in an isolated system is given by, \(W = \alpha {\beta ^2}{e^{ - {{{x^2}} \over {\alpha kT}}}}\), where x is the displacement, k is the Boltzmann constant and T is the temperature. \(\alpha\) and \(\beta\) ar...

11Units And Measurements

Three students S1, S2 and S3 perform an experiment for determining the acceleration due to gravity (g) using a simple pendulum. They use different lengths of pendulum and record time for different number of oscillations. The observations ar...

INTEGER+4 / -12021

12Units And Measurements

If time (t), velocity (v), and angular momentum (l) are taken as the fundamental units. Then the dimension of mass (m) in terms of t, v and l is :

13Units And Measurements

A student determined Young's Modulus of elasticity using the formula \(Y = {{Mg{L^3}} \over {4b{d^3}\delta }}\). The value of g is taken to be 9.8 m/s2, without any significant error, his observation are as following.
.tg {border-collapse:...

14Units And Measurements

The radius of a sphere is measured to be (7.50 \(\pm\) 0.85) cm. Suppose the percentage error in its volume is x. The value of x, to the nearest x, is __________.

INTEGER+4 / -12021

15Units And Measurements

The vernier scale used for measurement has a positive zero error of 0.2 mm. If while taking a measurement it was noted that '0' on the vernier scale lies between 8.5 cm and 8.6 cm, vernier coincidence is 6, then the correct value of measure...

16Units And Measurements

The resistance R = \({V \over I}\), where V = (50 \(\pm\) 2)V and I = (20 \(\pm\) 0.2)A. The percentage error in R is 'x'%. The value of 'x' to the nearest integer is _________.

INTEGER+4 / -12021

17Units And Measurements

One main scale division of a vernier callipers is 'a' cm and nth division of the vernier scale coincide with (n \(-\) 1)th division of the main scale. The least count of the callipers in mm is :

18Units And Measurements

In order to determine the Young's Modulus of a wire of radius 0.2 cm (measured using a scale of least count = 0.001 cm) and length 1m (measured using a scale of least count = 1 mm), a weight of mass 1 kg (measured using a scale of least cou...

19Units And Measurements

A quantity f is given by \(f = \sqrt {{{h{c^5}} \over G}}\) where c is
speed of light, G universal gravitational
constant and h is the Planck's constant.
Dimension of f is that of :

20Units And Measurements

If the screw on a screw-gauge is given six
rotations, it moves by 3 mm on the main scale.
If there are 50 divisions on the circular scale
the least count of the screw gauge is :

21Units And Measurements

For the four sets of three measured physical
quantities as given below. Which of the
following options is correct ?
(i) A1 = 24.36, B1 = 0.0724, C1 = 256.2
(ii) A2 = 24.44, B2 = 16.082, C2 = 240.2
(iii) A3 = 25.2, B3 = 19.2812, C3 = 236.183...

22Units And Measurements

The dimension of stopping potential V0 in photoelectric effect in units of Planck's constant 'h', speed of light 'c' and Gravitational constant 'G' and ampere A is :

23Units And Measurements

The dimension of \({{{B^2}} \over {2{\mu _0}}}\), where B is magnetic field and \({{\mu _0}}\)
is the magnetic permeability of vacuum,
is :

24Units And Measurements

A screw gauge has 50 divisions on its circular scale. The circular scale is 4 units ahead of the
pitch scale marking, prior to use. Upon one complete rotation of the circular scale, a displacement of 0.5mm is noticed on the pitch scale. The...

25Units And Measurements

The density of a solid metal sphere is determined by measuring its mass and its diameter. The
maximum error in the density of the sphere is \(\left( {{x \over {100}}} \right)\) %. If the relative errors in measuring the mass
and the diamet...

INTEGER+4 / -02020

26Units And Measurements

A student measuring the diameter of a pencil of circular cross-section with the help of a vernier
scale records the following four readings 5.50 mm, 5.55 mm, 5.45 mm, 5.65 mm. The average of
these four readings is 5.5375 mm and the standard...

27Units And Measurements

A physical quantity z depends on four
observables a, b, c and d, as z = \({{{a^2}{b^{{2 \over 3}}}} \over {\sqrt c {d^3}}}\). The
percentages of error in the measurement of a,
b, c and d are 2%, 1.5%, 4% and 2.5%
respectively. The percentag...

28Units And Measurements

The quantities x = \({1 \over {\sqrt {{\mu _0}{\varepsilon _0}} }}\), y = \({E \over B}\) and z = \({l \over {CR}}\) are
defined where C-capacitance, R-Resistance,
l-length, E-Electric field, B-magnetic field and
\({{\varepsilon _0}}\), $${...

29Units And Measurements

Dimensional formula for thermal conductivity is (here K denotes the temperature):

30Units And Measurements

A quantity x is given by \(\left( {{{IF{v^2}} \over {W{L^4}}}} \right)\) in terms of moment of inertia I, force F, velocity v, work W and
Length L. The dimensional formula for x is same as that of :

31Units And Measurements

Using screw gauge of pitch 0.1 cm and
50 divisions on its circular scale, the thickness
of an object is measured. It should correctly be
recorded as

32Units And Measurements

Amount of solar energy received on the earth’s surface per unit area per unit time is defined a solar
constant. Dimension of solar constant is :

33Units And Measurements

If speed V, area A and force F are chosen as
fundamental units, then the dimension of
Young’s modulus will be

34Units And Measurements

The least count of the main scale of a vernier
callipers is 1 mm. Its vernier scale is divided
into 10 divisions and coincide with 9 divisions
of the main scale. When jaws are touching
each other, the 7th division of vernier scale
coincides...

35Units And Measurements

If momentum (P), area (A) and time (T) are
taken to be the fundamental quantities then the
dimensional formula for energy is

36Units And Measurements

A copper wire is stretched to make it 0.5% longer. The percentage change in its electrical resistance if its volume remains unchanged is :

37Units And Measurements

Expression for time in terms of G(universal gravitional constant), h (Planck constant) and c (speed of light) is proportional to :

38Units And Measurements

The pitch and the number of divisions, on the circular scale, for a given screw gauge are 0.5 mm and 100 respectively. When the screw gauge is fully tightened without any object, the zero of its circular scale lies 3 divisions below the me...

39Units And Measurements

In the density measurement of a cube, the mass and
edge length are measured as (10.00 ± 0.10) kg and
(0.10 ± 0.01) m, respectively. The error in the
measurement of density is :

40Units And Measurements

The area of a square is 5.29 cm2. The area of
7 such squares taking into account the
significant figures is :-

41Units And Measurements

In SI units, the dimensions of \(\sqrt {{{{ \in _0}} \over {{\mu _0}}}}\) is :

42Units And Measurements

In a simple pendulum experiment for
determination of acceleration due to gravity (g),
time taken for 20 oscillations is measured by
using a watch of 1 second least count. The
mean value of time taken comes out to be
30 s. The length of pend...

43Units And Measurements

If surface tension (S), Moment of inertia (I) and
Planck's constant (h), were to be taken as the
fundamental units, the dimensional formula for
linear momentum would be :-

44Units And Measurements

The least count of the main scale of a screw gauge is 1 mm. The minimum number of divisions on its circular scale required to measure 5 \(\mu\)m diameter of a wire is :

45Units And Measurements

Let \(\ell\), r, C and V represent inductance, resistance, capacitance and voltage, respectively. The dimension of \({\ell \over {rCV}}\) in SI units will be :

46Units And Measurements

Which of the following combinations has the dimension of electrical resistance (\(\in\)0 is the permittivity of
vacuum and \(\mu\)0 is the permeability of vacuum)?

47Units And Measurements

The force of interaction between two atoms is given by F = \(\alpha\)\(\beta\)exp \(\left( { - {{{x^2}} \over {\alpha kt}}} \right)\); where x is the distance, k is the Boltzmann constant and T is temperature and \(\alpha\) and $$\beta ...

48Units And Measurements

If speed (V), acceleration (A) and force (F) are considered as fundamental units, the dimension of Young,s modulus will be:

49Units And Measurements

The density of a material in SI units is 128 kg m–3
. In certain units in which the unit of length is 25 cm and the unit of mass is 50 g, the numerical value of density of the material is -

50Units And Measurements

The diameter and height of a cylinder are measured by a meter scale to be 12.6 \(\pm\) 0.1 cm and 34.2 \(\pm\) 0.1 cm, respectively. What will be the value of its volume in appropriate significant figures ?