Units & Measurements PYQs - Last 10 Years
JEE Advanced / Physics / Mechanics / 20 recent questions
PhysicsMechanics2017-2026
Practice 20 JEE Advanced 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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11 in last 5 years20 in last 10 years
Last 10 Years Units & Measurements Questions
Showing 20 of 20 filtered questions.
1Units And Measurements
In a new system of units, the units of mass, length, time and current are $5 \mathrm{~kg}, 5 \mathrm{~m}, 5 \mathrm{~s}$ and 5 A , respectively. If $\mu_0$ and $\epsilon_0$ are the permeability and permittivity of free space, respectively, ...
INTEGER+4 / -02026
2Units And Measurements
In a single slit diffraction experiment, a slit of width $(0.016 \pm 0.002)$ mm is used to measure the wavelength of a monochromatic light source. In the diffraction pattern, the angular distance between the central maximum and first minimu...
INTEGER+4 / -02026
3Units And Measurements
A temperature difference can generate e.m.f. in some materials. Let S be the e.m.f. produced per unit temperature difference between the ends of a wire, σ the electrical conductivity and κ the thermal conductivity of the material of the wir...
MCQ+3 / -12025
4Units And Measurements
Length, breadth and thickness of a strip having a uniform cross section are measured to be 10.5 cm, 0.05 mm, and 6.0 μm, respectively. Which of the following option(s) give(s) the volume of the strip in cm3 with correct significant figures:
MCQM+4 / -22025
5Units And Measurements
Figure 1 shows the configuration of main scale and Vernier scale before measurement. Fig. 2 shows the configuration corresponding to the measurement of diameter D of a tube. The measured value of D is:
MCQ+3 / -12025
6Units And Measurements
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 to be $20.0 \mathrm{~cm}$. The maximum percentage error in the determination of the volume...
INTEGER+4 / -02024
7Units And Measurements
A dimensionless quantity is constructed in terms of electronic charge $e$, permittivity of free space $\varepsilon_0$, Planck's constant $h$, and speed of light $c$. If the dimensionless quantity is written as $e^\alpha \varepsilon_0{ }^\be...
MCQ+3 / -12024
8Units And Measurements
Young's modulus of elasticity $Y$ is expressed in terms of three derived quantities, namely, the gravitational constant $G$, Planck's constant $h$ and the speed of light $c$, as $Y=c^\alpha h^\beta G^\gamma$. Which of the following is the c...
MCQ+3 / -12023
9Units And Measurements
In an experiment for determination of the focal length of a thin convex lens, the distance of the object from the lens is $10 \pm 0.1 \mathrm{~cm}$ and the distance of its real image from the lens is $20 \pm 0.2 \mathrm{~cm}$. The error in ...
INTEGER+4 / -02023
10Units And Measurements
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 divisions and for one full rotation of the circular scale, the main scale shifts by two divi...
MCQ+3 / -12022
11Units And Measurements
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 $h$, and Coulomb's constant $k=\frac{1}{4 \pi \epsilon_{0}}$, where $\epsilon_{0}$ is the pe...
INTEGER+3 / -12022
12Units And Measurements
A physical quantity \(\overrightarrow S\) is defined as \(\overrightarrow S = (\overrightarrow E \times \overrightarrow B )/{\mu _0}\), where \(\overrightarrow E\) is electric field, \(\overrightarrow B\) is magnetic field and \(\mu\)0...
MCQM+4 / -22021
13Units And Measurements
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 scale. The figure below on the left shows the reading of this calipers with no gap between ...
MCQ+3 / -12021
14Units And Measurements
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 system, dimensions of different quantities are given
in terms of a quantity X as follows: ...
terms of only one physical quantity. In one such system, dimensions of different quantities are given
in terms of a quantity X as follows: ...
MCQM+4 / -22020
15Units And Measurements
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 75 cm mark of the scale and the object pin is kept at 45 cm mark. The image of the object p...
INTEGER+3 / -02019
16Units And Measurements
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(s) is/are correct?
MCQM+4 / -12019
17Units And Measurements
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 with the load is \(1.0\) \(m.A\) vernier scale with \(10\) divisions is attached to the e...
INTEGER+3 / -02018
18Units And Measurements
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 done by the use of series expansion and truncating the expansion at the first power of the ...
MCQ+3 / -12018
19Units And Measurements
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 done by the use of series expansion and truncating the expansion at the first power of the ...
MCQ+3 / -12018
20Units And Measurements
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 well. The error in his measurement of time is \(\delta T = 0.01\) seconds and he measures...
MCQ+3 / -0.752017