Properties of Solids & Fluids · JEE Main previous year questions

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2025 22 questions

Q342025 · 8 Apr 2025 · Shift 2
A $3 m$ long wire of radius $3 mm$ shows an extension of $0.1 mm$ when loaded vertically by a mass of $50 kg$ in an experiment to determine Young's modulus. The value of Young's modulus of the wire as per this experiment is $P \times 1 0^{11} Nm^{- 2}$ , where the value of $P$ is: (Take $g = 3 π m/s^{2}$ )
1. A. $2.5$
2. B. $25$
3. C. $10$
4. D. $5$
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Answer: D
Q322025 · 4 Apr 2025 · Shift 1
Two liquids $A$ and $B$ have $θ_{A}$ and $θ_{B}$ as contact angles in a capillary tube. If $K = cos θ_{A} / cos θ_{B}$ , then identify the correct statement:
1. A.K is negative, then liquid A and liquid B have convex meniscus.
2. B. $K$ is negative, then liquid $A$ and liquid $B$ have concave meniscus.
3. C.K is zero, then liquid A has convex meniscus and liquid B has concave meniscus.
4. D.K is negative, then liquid A has concave meniscus and liquid B has convex meniscus.
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Answer: D
Q482025 · 4 Apr 2025 · Shift 1· Numerical answer
Two slabs with square cross section of different materials $(1, 2)$ with equal sides $(l)$ and thickness $d_{1}$ and $d_{2}$ such that $d_{2} = 2 d_{1}$ and $l > d_{2}$ . Considering lower edges of these slabs are fixed to the floor, we apply equal shearing force on the narrow faces. The angle of deformation is $θ_{2} = 2 θ_{1}$ . If the shear moduli of material 1 is $4 \times 1 0^{9} N/ m^{2}$ , then shear moduli of material 2 is $x \times 1 0^{9} N/ m^{2}$ , where value of $x$ is ____.
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Answer: 1
Q392025 · 4 Apr 2025 · Shift 2
There are two vessels filled with an ideal gas where volume of one is double the volume of other. The large vessel contains the gas at 8 kPa at 1000 K while the smaller vessel contains the gas at 7 kPa at 500 K . If the vessels are connected to each other by a thin tube allowing the gas to flow and the temperature of both vessels is maintained at 600 K , at steady state the pressure in the vessels will be (in kPa ).
1. A.24
2. B.4.4
3. C.18
4. D.6
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Answer: D
Q352025 · 3 Apr 2025 · Shift 1
During the melting of a slab of ice at 273 K at atmospheric pressure :
1. A.Internal energy of ice-water system remains unchanged.
2. B.Positive work is done by the ice-water system on the atmosphere.
3. C.Positive work is done on the ice-water system by the atmosphere.
4. D.Internal energy of the ice-water system decreases.
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Answer: C
Q442025 · 3 Apr 2025 · Shift 1
The radiation pressure exerted by a $450 W$ light source on a perfectly reflecting surface placed at $2 m$ away from it, is
1. A. $3 \times 1 0^{- 8} Pascals$
2. B.0
3. C. $1.5 \times 1 0^{- 8} Pascals$
4. D. $6 \times 1 0^{- 8} Pascals$
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Answer: D
Q412025 · 3 Apr 2025 · Shift 2
A solid steel ball of diameter $3.6 mm$ acquired terminal velocity $2.45 \times 1 0^{- 2} m/s$ while falling under gravity through an oil of density $925 kg m^{- 3}$ . Take density of steel as $7825 kg m^{- 3}$ and $g$ as $9.8 m/s^{2}$ . The viscosity of the oil in SI unit is
1. A. $2.18$
2. B. $1.68$
3. C. $2.38$
4. D. $1.99$
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Answer: D
Q492025 · 3 Apr 2025 · Shift 2· Numerical answer
The excess pressure inside a soap bubble A in air is half the excess pressure inside another soap bubble B in air. If the volume of the bubble A is $n$ times the volume of the bubble $B$ , then the value of $n$ is__________.
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Answer: 8
Q332025 · 2 Apr 2025 · Shift 1
Match List I with List II. | List - I | List - II | | :--- | :--- | | (A) Coefficient of viscosity | (I) $[ML^{0} T^{- 3}]$ | | (B) Intensity of wave | (II) $[ML^{- 2} T^{- 2}]$ | | (C) Pressure gradient | (III) $[M^{- 1} LT^{2}]$ | | (D) Compressibility | (IV) $[ML^{- 1} T^{- 1}]$ | Choose the correct answer from the options given below:
1. A.(A)-(II), (B)-(III), (C)-(IV), (D)-(I)
2. B.(A)-(IV), (B)-(II), (C)-(I), (D)-(III)
3. C.(A)-(IV), (B)-(I), (C)-(II), (D)-(III)
4. D.(A)-(I), (B)-(IV), (C)-(III), (D)-(II)
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Answer: C
Q462025 · 2 Apr 2025 · Shift 1· Numerical answer
A steel wire of length $2 m$ and Young's modulus $2.0 \times 1 0^{11} N m^{- 2}$ is stretched by a force. If Poisson ratio and transverse strain for the wire are $0.2$ and $1 0^{- 3}$ respectively, then the elastic potential energy density of the wire is _________ $\times 1 0^{5}$ (in SI units).
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Answer: 25
Q382025 · 2 Apr 2025 · Shift 2
Two water drops each of radius ' $r$ ' coalesce to form a bigger drop. If ' $T$ ' is the surface tension, the surface energy released in this process is :
1. A. $4 π r^{2} T [2 - 2^{1/3}]$
2. B. $4 π r^{2} T [1 + 2]$
3. C. $4 π r^{2} T [2 - 2^{2/3}]$
4. D. $4 π r^{2} T [2 - 1]$
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Answer: C
Q492025 · 2 Apr 2025 · Shift 2· Numerical answer
The internal energy of air in $4 m \times 4 m \times 3 m$ sized room at 1 atmospheric pressure will be ____ $\times 1 0^{6} J$ (Consider air as diatomic molecule)
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Answer: 12
Q272025 · 28 Jan 2025 · Shift 1
Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason $R$ Assertion A: A sound wave has higher speed in solids than gases. Reason R: Gases have higher value of Bulk modulus than solids. In the light of the above statements, choose the correct answer from the options given below
1. A.Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
2. B. $A$ is false but $R$ is true
3. C. $A$ is true but $R$ is false
4. D.Both $A$ and $R$ are true but $R$ is NOT the correct explanation of $A$
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Answer: C
Q282025 · 28 Jan 2025 · Shift 1
In the experiment for measurement of viscosity ' $η$ ' of given liquid with a ball having radius $R$ , consider following statements. A. Graph between terminal velocity V and R will be a parabola. B. The terminal velocities of different diameter balls are constant for a given liquid. C. Measurement of terminal velocity is dependent on the temperature. D. This experiment can be utilized to assess the density of a given liquid. E. If balls are dropped with some initial speed, the value of $η$ will change. Choose the correct answer from the options given below:
1. A.C, D and E Only
2. B.A, B and E Only
3. C.A, C and D Only
4. D.B, D and E Only
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Answer: C
Q302025 · 28 Jan 2025 · Shift 1
Consider following statements: A. Surface tension arises due to extra energy of the molecules at the interior as compared to the molecules at the surface, of a liquid. B. As the temperature of liquid rises, the coefficient of viscosity increases. C. As the temperature of gas increases, the coefficient of viscosity increases D. The onset of turbulence is determined by Reynold's number. E. In a steady flow two stream lines never intersect. Choose the correct answer from the options given below:
1. A.B, C, D Only
2. B.C, D, E Only
3. C.A, D, E Only
4. D.A, B, C Only
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Answer: B
Q332025 · 24 Jan 2025 · Shift 1
An air bubble of radius $0.1 cm$ lies at a depth of $20 cm$ below the free surface of a liquid of density $1000 kg/ m^{3}$ . If the pressure inside the bubble is $2100 N/ m^{2}$ greater than the atmospheric pressure, then the surface tension of the liquid in SI unit is (use $g = 10 m/ s^{2}$ )
1. A. $0.02$
2. B. $0.05$
3. C. $0.25$
4. D. $0.1$
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Answer: B
Q492025 · 24 Jan 2025 · Shift 1· Numerical answer
The temperature of $1 mole$ of an ideal monoatomic gas is increased by $5 0^{\circ} C$ at constant pressure. The total heat added and change in internal energy are $E_{1}$ and $E_{2}$ , respectively. If $\frac{E _{1}}{E _{2}} = \frac{x}{9}$ then the value of $x$ is ____.
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Answer: 15
Q472025 · 24 Jan 2025 · Shift 2· Numerical answer
The increase in pressure required to decrease the volume of a water sample by $0.2%$ is $P \times 1 0^{5} Nm^{- 2}$ . Bulk modulus of water is $2.15 \times 1 0^{9} Nm^{- 2}$ . The value of P is ________ .
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Answer: 43
Q402025 · 23 Jan 2025 · Shift 2
Water flows in a horizontal pipe whose one end is closed with a valve. The reading of the pressure gauge attached to the pipe is $P_{1}$ . The reading of the pressure gauge falls to $P_{2}$ when the valve is opened. The speed of water flowing in the pipe is proportional to
1. A. $(P_{1} - P_{2})^{2}$
2. B. $P_{1} - P_{2}$
3. C. $P_{1} - P_{2}$
4. D. $(P_{1} - P_{2})^{4}$
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Answer: B
Q482025 · 23 Jan 2025 · Shift 2· Numerical answer
An air bubble of radius $1.0 mm$ is observed at a depth $20 cm$ below the free surface of a liquid having surface tension $0.095 J/m^{2}$ and density $1 0^{3} kg/m^{3}$ . The difference between pressure inside the bubble and atmospheric pressure is _________ $N/m^{2}$ . (Take $g = 10 m/s^{2}$ )
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Answer: 2190
Q362025 · 22 Jan 2025 · Shift 1
A closed organ and an open organ tube are filled by two different gases having same bulk modulus but different densities $ρ_{1}$ and $ρ_{2}$ , respectively. The frequency of $9^{th}$ harmonic of closed tube is identical with $4^{th}$ harmonic of open tube. If the length of the closed tube is $10 cm$ and the density ratio of the gases is $ρ_{1} : ρ_{2} = 1 : 16$ , then the length of the open tube is :
1. A. $\frac{15}{7} cm$
2. B. $\frac{20}{9} cm$
3. C. $\frac{20}{7} cm$
4. D. $\frac{15}{9} cm$
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Answer: B
Q472025 · 22 Jan 2025 · Shift 1· Numerical answer
Two soap bubbles of radius 2 cm and 4 cm , respectively, are in contact with each other. The radius of curvature of the common surface, in cm , is _________.
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Answer: 4