Properties of Matter PYQs - Last 5 Years
JEE Main / Physics / Mechanics / 201 recent questions
PhysicsMechanics2022-2026
Practice 201 JEE Main Physics questions from Properties of Matter. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.
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Last 5 Years Properties of Matter Questions
Showing 50 of 201 filtered questions.
1Properties Of Matter
A small liquid drop of radius \(R\) is divided into 27 identical liquid drops. If the surface tension is \(T\), then the work done in the process will be:
MCQ+4 / -12024
2Properties Of Matter
If average depth of an ocean is \(4000 \mathrm{~m}\) and the bulk modulus of water is \(2 \times 10^9 \mathrm{~Nm}^{-2}\), then fractional compression \(\frac{\Delta V}{V}\) of water at the bottom of ocean is \(\alpha \times 10^{-2}\). The ...
INTEGER+4 / -12024
3Properties Of Matter
Given below are two statements :
Statement (I) :Viscosity of gases is greater than that of liquids.
Statement (II) : Surface tension of a liquid decreases due to the presence of insoluble impurities.
In the light of the above statements, ch...
Statement (I) :Viscosity of gases is greater than that of liquids.
Statement (II) : Surface tension of a liquid decreases due to the presence of insoluble impurities.
In the light of the above statements, ch...
MCQ+4 / -12024
4Properties Of Matter
The reading of pressure metre attached with a closed pipe is \(4.5 \times 10^4 \mathrm{~N} / \mathrm{m}^2\). On opening the valve, water starts flowing and the reading of pressure metre falls to $$2.0 \times 10^4 \mathrm{~N} / \mathrm{m}^2$...
INTEGER+4 / -12024
5Properties Of Matter
Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A) : The property of body, by virtue of which it tends to regain its original shape when the external force is removed, is...
Assertion (A) : The property of body, by virtue of which it tends to regain its original shape when the external force is removed, is...
MCQ+4 / -12024
6Properties Of Matter
A plane is in level flight at constant speed and each of its two wings has an area of $40 \mathrm{~m}^2$. If the speed of the air is $180 \mathrm{~km} / \mathrm{h}$ over the lower wing surface and $252 \mathrm{~km} / \mathrm{h}$ over the up...
INTEGER+4 / -12024
7Properties Of Matter
With rise in temperature, the Young's modulus of elasticity :
MCQ+4 / -12024
8Properties Of Matter
One end of a metal wire is fixed to a ceiling and a load of $2 \mathrm{~kg}$ hangs from the other end. A similar wire is attached to the bottom of the load and another load of $1 \mathrm{~kg}$ hangs from this lower wire. Then the ratio of l...
INTEGER+4 / -12024
9Properties Of Matter
A big drop is formed by coalescing 1000 small droplets of water. The surface energy will become :
MCQ+4 / -12024
10Properties Of Matter
An air bubble of diameter \(6 \mathrm{~mm}\) rises steadily through a solution of density \(1750 \mathrm{~kg} / \mathrm{m}^{3}\) at the rate of \(0.35 \mathrm{~cm} / \mathrm{s}\). The co-efficient of viscosity of the solution (neglect densi...
INTEGER+4 / -12023
11Properties Of Matter
An aluminium rod with Young's modulus \(Y=7.0 \times 10^{10} \mathrm{~N} / \mathrm{m}^{2}\) undergoes elastic strain of \(0.04 \%\). The energy per unit volume stored in the rod in SI unit is:
MCQ+4 / -12023
12Properties Of Matter
An air bubble of volume \(1 \mathrm{~cm}^{3}\) rises from the bottom of a lake \(40 \mathrm{~m}\) deep to the surface at a temperature of \(12^{\circ} \mathrm{C}\). The atmospheric pressure is \(1 \times 10^{5} \mathrm{~Pa}\) the density of...
MCQ+4 / -12023
13Properties Of Matter
A hydraulic automobile lift is designed to lift vehicles of mass \(5000 \mathrm{~kg}\). The area of cross section of the cylinder carrying the load is \(250 \mathrm{~cm}^{2}\). The maximum pressure the smaller piston would have to bear is $...
MCQ+4 / -12023
14Properties Of Matter
A steel rod has a radius of \(20 \mathrm{~mm}\) and a length of \(2.0 \mathrm{~m}\). A force of \(62.8 ~\mathrm{kN}\) stretches it along its length. Young's modulus of steel is \(2.0 \times 10^{11} \mathrm{~N} / \mathrm{m}^{2}\). The longit...
INTEGER+4 / -12023
15Properties Of Matter
A small ball of mass \(\mathrm{M}\) and density \(\rho\) is dropped in a viscous liquid of density \(\rho_{0}\). After some time, the ball falls with a constant velocity. What is the viscous force on the ball ?
MCQ+4 / -12023
16Properties Of Matter
A metal block of mass \(\mathrm{m}\) is suspended from a rigid support through a metal wire of diameter \(14 \mathrm{~mm}\). The tensile stress developed in the wire under equilibrium state is \(7 \times 10^{5} \mathrm{Nm}^{-2}\). The value...
INTEGER+4 / -12023
17Properties Of Matter
Given below are two statements: one is labelled as Assertion \(\mathbf{A}\) and the other is labelled as Reason \(\mathbf{R}\)
Assertion A: When you squeeze one end of a tube to get toothpaste out from the other end, Pascal's principle is o...
Assertion A: When you squeeze one end of a tube to get toothpaste out from the other end, Pascal's principle is o...
MCQ+4 / -12023
18Properties Of Matter
A thin rod having a length of \(1 \mathrm{~m}\) and area of cross-section \(3 \times 10^{-6} \mathrm{~m}^{2}\) is suspended vertically from one end. The rod is cooled from \(210^{\circ} \mathrm{C}\) to \(160^{\circ} \mathrm{C}\). After cool...
INTEGER+4 / -12023
19Properties Of Matter
If 1000 droplets of water of surface tension \(0.07 \mathrm{~N} / \mathrm{m}\), having same radius \(1 \mathrm{~mm}\) each, combine to from a single drop. In the process the released surface energy is :-
$$\left( {\mathrm{Take}\,\pi = {{22...
$$\left( {\mathrm{Take}\,\pi = {{22...
MCQ+4 / -12023
20Properties Of Matter
Under the same load, wire A having length $5.0 \mathrm{~m}$ and cross section $2.5 \times 10^{-5} \mathrm{~m}^{2}$ stretches
uniformly by the same amount as another wire B of length $6.0 \mathrm{~m}$ and a cross section of $3.0 \times 10^{...
uniformly by the same amount as another wire B of length $6.0 \mathrm{~m}$ and a cross section of $3.0 \times 10^{...
MCQ+4 / -12023
21Properties Of Matter
For a solid rod, the Young's modulus of elasticity is $3.2 \times 10^{11} \mathrm{Nm}^{-2}$ and density is $8 \times 10^3 \mathrm{~kg} \mathrm{~m}^{-3}$. The velocity of longitudinal wave in the rod will be.
MCQ+4 / -12023
22Properties Of Matter
Choose the correct relationship between Poisson ratio \((\sigma)\), bulk modulus (K) and modulus of rigidity \((\eta)\) of a given solid object :
MCQ+4 / -12023
23Properties Of Matter
The height of liquid column raised in a capillary tube of certain radius when dipped in liquid A vertically is, \(5 \mathrm{~cm}\). If the tube is dipped in a similar manner in another liquid \(\mathrm{B}\) of surface tension and density do...
MCQ+4 / -12023
24Properties Of Matter
A force is applied to a steel wire 'A', rigidly clamped at one end. As a result elongation in the wire is $0.2 \mathrm{~mm}$. If same force is applied to another steel wire ' $\mathrm{B}$ ' of double the length and a diameter $2.4$ times th...
MCQ+4 / -12023
25Properties Of Matter
A body cools from 60\(^\circ\)C to 40\(^\circ\)C in 6 minutes. If, temperature of surroundings is 10\(^\circ\)C. Then, after the next 6 minutes, its temperature will be ____________\(^\circ\)C.
INTEGER+4 / -12023
26Properties Of Matter
A bicycle tyre is filled with air having pressure of \(270 ~\mathrm{kPa}\) at \(27^{\circ} \mathrm{C}\). The approximate pressure of the air in the tyre when the temperature increases to \(36^{\circ} \mathrm{C}\) is
MCQ+4 / -12023
27Properties Of Matter
Surface tension of a soap bubble is \(2.0 \times 10^{-2} \mathrm{Nm}^{-1}\). Work done to increase the radius of soap bubble from \(3.5 \mathrm{~cm}\) to \(7 \mathrm{~cm}\) will be:
Take \(\left[\pi=\frac{22}{7}\right]\)
Take \(\left[\pi=\frac{22}{7}\right]\)
MCQ+4 / -12023
28Properties Of Matter
A metal block of base area 0.20 m\(^2\) is placed on a table, as shown in figure. A liquid film of thickness 0.25 mm is inserted between the block and the table. The block is pushed by a horizontal force of 0.1 N and moves with a constant s...
INTEGER+4 / -12023
29Properties Of Matter
A fully loaded boeing aircraft has a mass of \(5.4\times10^5\) kg. Its total wing area is 500 m\(^2\). It is in level flight with a speed of 1080 km/h. If the density of air \(\rho\) is 1.2 kg m\(^{-3}\), the fractional increase in the spe...
MCQ+4 / -12023
30Properties Of Matter
As shown in the figure, in an experiment to determine Young's modulus of a wire, the extension-load curve is plotted. The curve is a straight line passing through the origin and makes an angle of 45\(^\circ\) with the load axis. The length ...
INTEGER+4 / -12023
31Properties Of Matter
A bowl filled with very hot soup cools from 98\(^\circ\)C to 86\(^\circ\)C in 2 minutes when the room temperature is 22\(^\circ\)C. How long it will take to cool from 75\(^\circ\)C to 69\(^\circ\)C?
MCQ+4 / -12023
32Properties Of Matter
Match List I with List II
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MCQ+4 / -12023
33Properties Of Matter
A spherical drop of liquid splits into 1000 identical spherical drops. If u\(_\mathrm{i}\) is the surface energy of the original drop and u\(_\mathrm{f}\) is the total surface energy of the resulting drops, the (ignoring evaporation), $${{{...
INTEGER+4 / -12023
34Properties Of Matter
A 100 m long wire having cross-sectional area \(\mathrm{6.25\times10^{-4}~m^2}\) and Young's modulus is \(\mathrm{10^{10}~Nm^{-2}}\) is subjected to a load of 250 N, then the elongation in the wire will be :
MCQ+4 / -12023
35Properties Of Matter
A Spherical ball of radius 1mm and density 10.5 g/cc is dropped in glycerine of coefficient of viscosity 9.8 poise and density 1.5 g/cc. Viscous force on the ball when it attains constant velocity is \(3696\times10^{-x}\) N. The value of $$...
INTEGER+4 / -12023
36Properties Of Matter
The frequency (\(\nu\)) of an oscillating liquid drop may depend upon radius (\(r\)) of the drop, density (\(\rho\)) of liquid and the surface tension (s) of the liquid as \(\nu=r^a\rho^b s^c\). The values of a, b and c respectively are
MCQ+4 / -12023
37Properties Of Matter
Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R
Assertion A : Steel is used in the construction of buildings and bridges.
Reason R : Steel is more elastic and its elastic limit is high.
I...
Assertion A : Steel is used in the construction of buildings and bridges.
Reason R : Steel is more elastic and its elastic limit is high.
I...
MCQ+4 / -12023
38Properties Of Matter
A certain pressure '\(\mathrm{P}\)' is applied to 1 litre of water and 2 litre of a liquid separately. Water gets compressed to \(0.01 \%\) whereas the liquid gets compressed to \(0.03 \%\). The ratio of Bulk modulus of water to that of the...
INTEGER+4 / -12023
39Properties Of Matter
A mercury drop of radius \(10^{-3}~\mathrm{m}\) is broken into 125 equal size droplets. Surface tension of mercury is \(0.45~\mathrm{Nm}^{-1}\). The gain in surface energy is :
MCQ+4 / -12023
40Properties Of Matter
The surface of water in a water tank of cross section area \(750 \mathrm{~cm}^{2}\) on the top of a house is \(h \mathrm{~m}\) above the tap level. The speed of water coming out through the tap of cross section area \(500 \mathrm{~mm}^{2}\)...
INTEGER+4 / -12023
41Properties Of Matter
The Young's modulus of a steel wire of length \(6 \mathrm{~m}\) and cross-sectional area \(3 \mathrm{~mm}^{2}\), is \(2 \times 10^{11}~\mathrm{N} / \mathrm{m}^{2}\). The wire is suspended from its support on a given planet. A block of mass ...
MCQ+4 / -12023
42Properties Of Matter
There is an air bubble of radius $1.0 \mathrm{~mm}$ in a liquid of surface tension $0.075~ \mathrm{Nm}^{-1}$ and density $1000 \mathrm{~kg} \mathrm{~m}^{-3}$ at a depth of $10 \mathrm{~cm}$ below the free surface. The amount by which the pr...
INTEGER+4 / -12023
43Properties Of Matter
A wire of length ' $L$ ' and radius ' $r$ ' is clamped rigidly at one end. When the other end of the wire is pulled by a force $f$, its length increases by ' $l$ '. Another wire of same material of length ' $2 \mathrm{~L}$ ' and radius ' $2...
MCQ+4 / -12023
44Properties Of Matter
The elastic potential energy stored in a steel wire of length \(20 \mathrm{~m}\) stretched through \(2 \mathrm{~cm}\) is \(80 \mathrm{~J}\). The cross sectional area of the wire is __________ \(\mathrm{mm}^{2}\).
\(\left(\right.\) Given, $$...
\(\left(\right.\) Given, $$...
INTEGER+4 / -12023
45Properties Of Matter
Under isothermal condition, the pressure of a gas is given by \(\mathrm{P}=a \mathrm{~V}^{-3}\), where \(a\) is a constant and \(\mathrm{V}\) is the volume of the gas. The bulk modulus at constant temperature is equal to
MCQ+4 / -12023
46Properties Of Matter
The figure shows a liquid of given density flowing steadily in horizontal tube of varying cross - section. Cross sectional areas at \(\mathrm{A}\) is \(1.5 \mathrm{~cm}^{2}\), and \(\mathrm{B}\) is \(25 \mathrm{~mm}^{2}\), if the speed of ...
MCQ+4 / -12023
47Properties Of Matter
Given below are two statements: one is labelled as Assertion \(\mathbf{A}\) and the other is labelled as Reason \(\mathbf{R}\)
Assertion A : A spherical body of radius \((5 \pm 0.1) \mathrm{mm}\) having a particular density is falling throu...
Assertion A : A spherical body of radius \((5 \pm 0.1) \mathrm{mm}\) having a particular density is falling throu...
MCQ+4 / -12023
48Properties Of Matter
Glycerin of density \(1.25 \times 10^{3} \mathrm{~kg} \mathrm{~m}^{-3}\) is flowing through the conical section of pipe The area of cross-section of the pipe at its ends are \(10 \mathrm{~cm}^{2}\) and \(5 \mathrm{~cm}^{2}\) and pressure dr...
INTEGER+4 / -12023
49Properties Of Matter
A body cools from \(80^{\circ} \mathrm{C}\) to \(60^{\circ} \mathrm{C}\) in 5 minutes. The temperature of the surrounding is \(20^{\circ} \mathrm{C}\). The time it takes to cool from \(60^{\circ} \mathrm{C}\) to \(40^{\circ} \mathrm{C}\) is...
MCQ+4 / -12023
50Properties Of Matter
The length of a wire becomes \(l_{1}\) and \(l_{2}\) when \(100 \mathrm{~N}\) and \(120 \mathrm{~N}\) tensions are applied respectively. If \(10 ~l_{2}=11~ l_{1}\), the natural length of wire will be \(\frac{1}{x} ~l_{1}\). Here the value o...
INTEGER+4 / -12023