Properties of Matter PYQs - Last 5 Years

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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 wire of density \(8 \times 10^{3} \mathrm{~kg} / \mathrm{m}^{3}\) is stretched between two clamps \(0.5 \mathrm{~m}\) apart. The extension developed in the wire is \(3.2 \times 10^{-4} \mathrm{~m}\). If $$Y=8 \times 10^{10} \mathrm{~N} / ...

INTEGER+4 / -12023

2Properties Of Matter

The surface tension of soap solution is \(3.5 \times 10^{-2} \mathrm{~Nm}^{-1}\). The amount of work done required to increase the radius of soap bubble from \(10 \mathrm{~cm}\) to \(20 \mathrm{~cm}\) is _________ $$\times ~10^{-4} \mathrm{...

INTEGER+4 / -12023

3Properties Of Matter

Eight equal drops of water are falling through air with a steady speed of \(10 \mathrm{~cm} / \mathrm{s}\). If the drops coalesce, the new velocity is:-

4Properties Of Matter

Two wires each of radius 0.2 cm and negligible mass, one made of steel and the other made of brass are loaded as shown in the figure. The elongation of the steel wire is __________ \(\times\) 10\(^{-6}\) m. [Young's modulus for steel = 2 $$...

INTEGER+4 / -12023

5Properties Of Matter

Given below are two statements:
Statement I : Pressure in a reservoir of water is same at all points at the same level of water.
Statement II : The pressure applied to enclosed water is transmitted in all directions equally.
In the light of...

6Properties Of Matter

Figure below shows a liquid being pushed out of the tube by a piston having area of cross section \(2.0 \mathrm{~cm}^{2}\). The area of cross section at the outlet is \(10 \mathrm{~mm}^{2}\). If the piston is pushed at a speed of $$4 \mathr...

INTEGER+4 / -12023

7Properties Of Matter

Young's moduli of the material of wires A and B are in the ratio of \(1: 4\), while its area of cross sections are in the ratio of \(1: 3\). If the same amount of load is applied to both the wires, the amount of elongation produced in the w...

8Properties Of Matter

The excess pressure inside a liquid drop is 500 Nm\(-\)2. If the radius of the drop is 2 mm, the surface tension of liquid is x \(\times\) 10\(-\)3 Nm\(-\)1. The value of x is _____________.

INTEGER+4 / -12022

9Properties Of Matter

An air bubble of negligible weight having radius r rises steadily through a solution of density \(\sigma\) at speed v. The coefficient of viscosity of the solution is given by :

10Properties Of Matter

A block of metal weighing 2 kg is resting on a frictionless plane (as shown in figure). It is struck by a jet releasing water at a rate of 1 kgs\(-\)1 and at a speed of 10 ms\(-\)1. Then, the initial acceleration of the block, in ms\(-\)2, ...

11Properties Of Matter

A wire of length L is hanging from a fixed support. The length changes to L1 and L2 when masses 1 kg and 2 kg are suspended respectively from its free end. Then the value of L is equal to :

12Properties Of Matter

A small spherical ball of radius 0.1 mm and density 104 kg m\(-\)3 falls freely under gravity through a distance h before entering a tank of water. If, after entering the water the velocity of ball does not change and it continue to fall w...

INTEGER+4 / -12022

13Properties Of Matter

If the length of a wire is made double and radius is halved of its respective values. Then, the Young's modulus of the material of the wire will :

14Properties Of Matter

Given below are two statements : One is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A): Clothes containing oil or grease stains cannot be cleaned by water wash.
Reason (R): Because the angle of contact betw...

15Properties Of Matter

The speed of a transverse wave passing through a string of length \(50 \mathrm{~cm}\) and mass \(10 \mathrm{~g}\) is \(60 \mathrm{~ms}^{-1}\). The area of cross-section of the wire is \(2.0 \mathrm{~mm}^{2}\) and its Young's modulus is $$1....

INTEGER+4 / -12022

16Properties Of Matter

The velocity of a small ball of mass \(0.3 \mathrm{~g}\) and density \(8 \mathrm{~g} / \mathrm{cc}\) when dropped in a container filled with glycerine becomes constant after some time. If the density of glycerine is $$1.3 \mathrm{~g} / \mat...

INTEGER+4 / -12022

17Properties Of Matter

A metal wire of length \(0.5 \mathrm{~m}\) and cross-sectional area \(10^{-4} \mathrm{~m}^{2}\) has breaking stress \(5 \times 10^{8} \,\mathrm{Nm}^{-2}\). A block of \(10 \mathrm{~kg}\) is attached at one end of the string and is rotating ...

INTEGER+4 / -12022

18Properties Of Matter

A tube of length \(50 \mathrm{~cm}\) is filled completely with an incompressible liquid of mass \(250 \mathrm{~g}\) and closed at both ends. The tube is then rotated in horizontal plane about one of its ends with a uniform angular velocity ...

INTEGER+4 / -12022

19Properties Of Matter

A water drop of diameter 2 cm is broken into 64 equal droplets. The surface tension of water is 0.075 N/m. In this process the gain in surface energy will be :

20Properties Of Matter

Given below are two statements : One is labelled as Assertion A and the other is labelled as Reason R.
Assertion A : Product of Pressure (P) and time (t) has the same dimension as that of coefficient of viscosity.
Reason R : Coefficient of ...

21Properties Of Matter

A liquid of density 750 kgm\(-\)3 flows smoothly through a horizontal pipe that tapers in cross-sectional area from A1 = 1.2 \(\times\) 10\(-\)2 m2 to A2 = \({{{A_1}} \over 2}\). The pressure difference between the wide and narrow sections ...

INTEGER+4 / -12022

22Properties Of Matter

A water drop of radius 1 \(\mu\)m falls in a situation where the effect of buoyant force is negligible. Co-efficient of viscosity of air is 1.8 \(\times\) 10\(-\)5 Nsm\(-\)2 and its density is negligible as compared to that of water 106 gm$...

23Properties Of Matter

The diameter of an air bubble which was initially \(2 \mathrm{~mm}\), rises steadily through a solution of density \(1750 \mathrm{~kg} \mathrm{~m}^{-3}\) at the rate of \(0.35 \,\mathrm{cms}^{-1}\). The coefficient of viscosity of the solut...

INTEGER+4 / -12022

24Properties Of Matter

The force required to stretch a wire of cross-section \(1 \mathrm{~cm}^{2}\) to double its length will be : (Given Yong's modulus of the wire \(=2 \times 10^{11} \mathrm{~N} / \mathrm{m}^{2}\))

25Properties Of Matter

A balloon has mass of \(10 \mathrm{~g}\) in air. The air escapes from the balloon at a uniform rate with velocity \(4.5 \mathrm{~cm} / \mathrm{s}\). If the balloon shrinks in \(5 \mathrm{~s}\) completely. Then, the average force acting on t...

26Properties Of Matter

A string of area of cross-section \(4 \mathrm{~mm}^{2}\) and length \(0.5 \mathrm{~m}\) is connected with a rigid body of mass \(2 \mathrm{~kg}\). The body is rotated in a vertical circular path of radius \(0.5 \mathrm{~m}\). The body acqui...

INTEGER+4 / -12022

27Properties Of Matter

Consider a cylindrical tank of radius \(1 \mathrm{~m}\) is filled with water. The top surface of water is at \(15 \mathrm{~m}\) from the bottom of the cylinder. There is a hole on the wall of cylinder at a height of \(5 \mathrm{~m}\) from t...

28Properties Of Matter

A pressure-pump has a horizontal tube of cross sectional area \(10 \mathrm{~cm}^{2}\) for the outflow of water at a speed of \(20 \mathrm{~m} / \mathrm{s}\). The force exerted on the vertical wall just in front of the tube which stops water...

29Properties Of Matter

The area of cross-section of a large tank is 0.5 m2. It has a narrow opening near the bottom having area of cross-section 1 cm2. A load of 25 kg is applied on the water at the top in the tank. Neglecting the speed of water in the tank, the...

INTEGER+4 / -12022

30Properties Of Matter

The velocity of a small ball of mass 'm' and density d1, when dropped in a container filled with glycerin, becomes constant after some time. If the density of glycerin is d2, then the viscous force acting on the ball, will be :

31Properties Of Matter

When a ball is dropped into a lake from a height 4.9 m above the water level, it hits the water with a velocity v and then sinks to the bottom with the constant velocity v. It reaches the bottom of the lake 4.0 s after it is dropped. The ap...

32Properties Of Matter

A square aluminum (shear modulus is \(25 \times 10^{9}\, \mathrm{Nm}^{-2}\)) slab of side \(60 \mathrm{~cm}\) and thickness \(15 \mathrm{~cm}\) is subjected to a shearing force (on its narrow face) of \(18.0 \times 10^{4}\) \(\mathrm{N}\). ...

INTEGER+4 / -12022

33Properties Of Matter

Two cylindrical vessels of equal cross-sectional area \(16 \mathrm{~cm}^{2}\) contain water upto heights \(100 \mathrm{~cm}\) and \(150 \mathrm{~cm}\) respectively. The vessels are interconnected so that the water levels in them become equa...

34Properties Of Matter

A spherical soap bubble of radius 3 cm is formed inside another spherical soap bubble of radius 6 cm. If the internal pressure of the smaller bubble of radius 3 cm in the above system is equal to the internal pressure of the another single ...

INTEGER+4 / -12022

35Properties Of Matter

In an experiment to determine the Young's modulus, steel wires of five different lengths \((1,2,3,4\), and \(5 \mathrm{~m})\) but of same cross section \(\left(2 \mathrm{~mm}^{2}\right)\) were taken and curves between extension and load wer...

INTEGER+4 / -12022

36Properties Of Matter

A steel wire of length \(3.2 \mathrm{~m}\left(\mathrm{Y}_{\mathrm{s}}=2.0 \times 10^{11} \,\mathrm{Nm}^{-2}\right)\) and a copper wire of length \(4.4 \mathrm{~m}\left(\mathrm{Y}_{\mathrm{c}}=1.1 \times 10^{11} \,\mathrm{Nm}^{-2}\right)\), ...

37Properties Of Matter

An ideal fluid of density 800 kgm\(-\)3, flows smoothly through a bent pipe (as shown in figure) that tapers in cross-sectional area from a to \({a \over 2}\). The pressure difference between the wide and narrow sections of pipe is 4100 Pa....

INTEGER+4 / -12022

38Properties Of Matter

The elongation of a wire on the surface of the earth is 10\(-\)4 m. The same wire of same dimensions is elongated by 6 \(\times\) 10\(-\)5 m on another planet. The acceleration due to gravity on the planet will be ____________ ms\(-\)2. (Ta...

INTEGER+4 / -12022

39Properties Of Matter

The elastic behaviour of material for linear stress and linear strain, is shown in the figure. The energy density for a linear strain of 5 \(\times\) 10\(-\)4 is __________ kJ/m3. Assume that material is elastic upto the linear strain of 5 ...

INTEGER+4 / -12022

40Properties Of Matter

If p is the density and \(\eta\) is coefficient of viscosity of fluid which flows with a speed v in the pipe of diameter d, the correct formula for Reynolds number Re is :

41Properties Of Matter

In an experiment to determine the Young's modulus of wire of a length exactly \(1 \mathrm{~m}\), the extension in the length of the wire is measured as \(0.4 \mathrm{~mm}\) with an uncertainty of \(\pm\, 0.02 \mathrm{~mm}\) when a load of $...

INTEGER+4 / -12022

42Properties Of Matter

A water drop of radius \(1 \mathrm{~cm}\) is broken into 729 equal droplets. If surface tension of water is 75 dyne/ \(\mathrm{cm}\), then the gain in surface energy upto first decimal place will be :
(Given \(\pi=3.14\) )

43Properties Of Matter

A uniform heavy rod of mass \(20 \mathrm{~kg}\), cross sectional area \(0.4 \mathrm{~m}^{2}\) and length \(20 \mathrm{~m}\) is hanging from a fixed support. Neglecting the lateral contraction, the elongation in the rod due to its own weight...

INTEGER+4 / -12022

44Properties Of Matter

The area of cross section of the rope used to lift a load by a crane is \(2.5 \times 10^{-4} \mathrm{~m}^{2}\). The maximum lifting capacity of the crane is 10 metric tons. To increase the lifting capacity of the crane to 25 metric tons, th...

45Properties Of Matter

The velocity of upper layer of water in a river is 36 kmh\(-\)1. Shearing stress between horizontal layers of water is 10\(-\)3 Nm\(-\)2. Depth of the river is __________ m. (Co-efficient of viscosity of water is 10\(-\)2 Pa.s)

INTEGER+4 / -12022

46Properties Of Matter

The terminal velocity (vt) of the spherical rain drop depends on the radius (r) of the spherical rain drop as :

47Properties Of Matter

A wire of length \(\mathrm{L}\) and radius \(\mathrm{r}\) is clamped rigidly at one end. When the other end of the wire is pulled by a force \(\mathrm{F}\), its length increases by \(5 \mathrm{~cm}\). Another wire of the same material of le...

INTEGER+4 / -12022

48Properties Of Matter

A drop of liquid of density \(\rho\) is floating half immersed in a liquid of density \({\sigma}\) and surface tension \(7.5 \times 10^{-4}\) Ncm\(-\)1. The radius of drop in \(\mathrm{cm}\) will be :
(g = 10 ms\(-\)2)

49Properties Of Matter

The bulk modulus of a liquid is 3 \(\times\) 1010 Nm\(-\)2. The pressure required to reduce the volume of liquid by 2% is :

50Properties Of Matter

In an experiment to verify Newton's law of cooling, a graph is plotted between the temperature difference (\(\Delta\)T) of the water and surroundings and time as shown in figure. The initial temperature of water is taken as 80\(^\circ\)C. T...

INTEGER+4 / -12022