Properties of Solids & Fluids · JEE Main previous year questions

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2026 32 questions

Q332026 · 8 Apr 2026 · Shift 2
A liquid of density $600 kg/ m^{3}$ flowing steadily in a tube of varying cross-section. The cross-section at a point $A$ is $1.0 c m^{2}$ and that at $B$ is $20 m m^{2}$ . Both the points $A$ and $B$ are in same horizontal plane, the speed of the liquid at $A$ is $10 cm/s$ . The difference in pressures at $A$ and $B$ points is ____ $Pa$ .
1. A. $18$
2. B. $144$
3. C. $36$
4. D. $72$
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Answer: D
Q342026 · 8 Apr 2026 · Shift 2
A person has three different bags and four different books. The number of ways, in which he can put these books in the bags so that no bag is empty, is :
1. A.18
2. B.36
3. C.39
4. D.72
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Answer: D
Q342026 · 6 Apr 2026 · Shift 1
The two wires $A$ and $B$ of equal cross-section but of different materials are joined together. The ratio of Young's modulus of wire $A$ and wire $B$ is $20/11$ . When the joined wire is kept under certain tension the elongations in the wires $A$ and $B$ are equal. If the length of wire $A$ is $2.2 m$ , then the length of wire $B$ is ____ $m$ .
1. A.1.1
2. B.2.22
3. C.1.21
4. D.4.44
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Answer: C
Q352026 · 6 Apr 2026 · Shift 1
Two closed vessels of same volume are joined through a narrow tube and both vessels are filled with air of pressure $90 kPa$ and temperature $400 K$ . Keeping the temperature of one vessel constant at $400 K$ the second vessel temperature is raised to $500 K$ . The final pressure in the vessels is ____ $kPa$ .
1. A.100
2. B.120
3. C.90
4. D.105
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Answer: A
Q332026 · 6 Apr 2026 · Shift 2
1. A. $1.0 \times 1 0^{11}$
2. B. $2.0 \times 1 0^{10}$
3. C. $1.0 \times 1 0^{10}$
4. D. $2.0 \times 1 0^{11}$
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Answer: C
Q312026 · 5 Apr 2026 · Shift 1
The Young's modulus of steel wire of radius $r$ and length $L$ is $Y$ . If the radius $r$ and length $L$ of the wire are doubled then the value of $Y$
1. A.increases by two times
2. B.reduces by half
3. C.remains unchanged
4. D.becomes one fourth
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Answer: C
Q432026 · 5 Apr 2026 · Shift 1
1. A.56
2. B.38
3. C.96
4. D.5.6
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Answer: B
Q332026 · 5 Apr 2026 · Shift 2
Eight mercury drops, each of radius $r$ , coalesce to form a bigger drop. The surface energy released in this process is ____. ( $S$ is the surface tension of mercury).
1. A. $8 π r^{2} S$
2. B. $16 π r^{2} S$
3. C. $64 π r^{2} S$
4. D. $4 π r^{2} S$
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Answer: B
Q342026 · 5 Apr 2026 · Shift 2
A box contains 5 blue, 6 yellow and 4 red balls. The number of ways, of drawing 8 balls containing at least two balls of each colour, is :
1. A.4100
2. B.4140
3. C.4230
4. D.4290
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Answer: C
Q392026 · 5 Apr 2026 · Shift 2
Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : The electromagnetic wave exerts pressure on the surface on which they are allowed to fall. Reason (R) : There is no mass associated with the electromagnetic waves. 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.Both (A) and (R) are true but (R) is not the correct explanation of (A)
3. C.(A) is true but (R) is false
4. D.(A) is false but (R) is true
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Answer: B
Q272026 · 4 Apr 2026 · Shift 1
The increase in the pressure required to decrease the volume $(Δ V)$ of water is $6.3 \times 1 0^{7} N/m^{2}$ . The percentage decrease in the volume is _________. (Bulk modulus of water $= 2.1 \times 1 0^{9} N/m^{2}$ .)
1. A. $2%$
2. B. $3%$
3. C. $6%$
4. D. $4%$
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Answer: B
Q352026 · 4 Apr 2026 · Shift 1
One gas of $n_{1}$ mole of molecules at temperature $T_{1}$ , volume $V_{1}$ , and pressure $P_{1}$ , and another gas of $n_{2}$ mole of molecules at temperature $T_{2}$ , volume $V_{2}$ , and pressure $P_{2}$ , are mixed resulting in pressure $P$ and volume $V$ of the mixture. The temperature of the mixture is ________.
1. A. $(T_{1} + T_{2}) /2$
2. B. $T_{1} T_{2} P V / (T_{2} P_{1} V_{1} + T_{1} P_{2} V_{2})$
3. C. $(T_{2} P_{1} V_{1} + T_{1} P_{2} V_{2}) / (T_{1} T_{2} P V)$
4. D. $∣ T_{1} - T_{2} ∣/2$
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Answer: B
Q362026 · 4 Apr 2026 · Shift 1
An ideal gas undergoes a process maintaining relation between pressure $(P)$ and volume $(V)$ as $P = P_{o} [1 + (\frac{V _{o}}{V})^{2}]^{- 1}$ , where $P_{o}$ and $V_{o}$ are constants. If two samples $A$ and $B$ (two moles each) with initial volumes $V_{o}$ and $3 V_{o}$ respectively undergo above mentioned process and attain same pressure, then the difference at the temperatures of these samples, $T_{B} - T_{A}$ is ________. ( $R =$ gas constant)
1. A. $\frac{9 P _{o} V _{o}}{8 R}$
2. B. $\frac{11 P _{o} V _{o}}{10 R}$
3. C. $\frac{7 P _{o} V _{o}}{6 R}$
4. D. $\frac{13 P _{o} V _{o}}{11 R}$
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Answer: Dropped in the final answer key (full marks to everyone)
Q472026 · 4 Apr 2026 · Shift 1· Numerical answer
The surface tension of a soap solution is $3.5 \times 1 0^{- 2} N/m$ . The work required to increase the radius of a soap bubble from $1 cm$ to $2 cm$ is $α \times 1 0^{- 6} J$ . The value of $α$ is ________. ( $π = 22/7$ )
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Answer: 264
Q332026 · 2 Apr 2026 · Shift 1
Heat is supplied to a diatomic gas at constant pressure. Then the ratio of $Δ Q : Δ U : Δ W$ is ____.
1. A. $2 : 3 : 5$
2. B. $5 : 3 : 2$
3. C. $2 : 5 : 7$
4. D. $7 : 5 : 2$
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Answer: D
Q452026 · 2 Apr 2026 · Shift 1
A liquid drop of diameter $2 mm$ breaks into $512$ droplets. The change in surface energy is $α \times 1 0^{- 6} J$ . The value of $α$ is ____. (Take surface tension of $liquid = 0.08 N/m$ )
1. A.10
2. B.7
3. C.8
4. D.11
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Answer: B
Q492026 · 2 Apr 2026 · Shift 1· Numerical answer
A uniform wire of length $l$ of weight $w$ is suspended from the roof with a weight of $W$ at the other end. The stress in the wire at $\frac{1}{3}$ distance from the top is $(\frac{W}{A} + \frac{2}{γ} \frac{w}{A})$ , where, $A$ is the cross sectional area of the wire. The value of $γ$ is ____.
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Answer: 3
Q502026 · 2 Apr 2026 · Shift 1· Numerical answer
A tub is filled with water and a wooden cube $10 cm \times 10 cm \times 10 cm$ is placed in the water. The wooden cube is found to float on the water with a part of it submerged in water. When a metal coin is placed on the wooden cube, the submerged part is increased by $3.87 cm$ . The mass of the metal coin is ____ gram. (Take water density as $1 g/c m^{3}$ and density of wood as $0.4 g/c m^{3}$ )
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Answer: 387
Q332026 · 2 Apr 2026 · Shift 2
The surface tension of a soap bubble is $0.03 N/m$ . The work done in increasing the diameter of bubble from $2 cm$ to $6 cm$ is $α π \times 1 0^{- 4} J$ . The value of $α$ is ____. (Take $π = 3.14$ )
1. A.0.86
2. B.0.64
3. C.1.92
4. D.7.68
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Answer: C
Q342026 · 2 Apr 2026 · Shift 2
The mean and variance of n observations are 8 and 16, respectively. If the sum of the first (n − 1) observations is 48 and the sum of squares of the first (n − 1) observations is 496, then the value of n is :
1. A.21
2. B.16
3. C.13
4. D.7
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Answer: C
Q352026 · 2 Apr 2026 · Shift 2
If an air bubble of diameter $2 mm$ rises steadily through a liquid of density $2000 kg/ m^{3}$ at a rate of $0.5 cm/s$ , then the coefficient of viscosity of liquid is ____ Poise. (Take $g = 10 m/ s^{2}$ )
1. A.0.88
2. B.8.8
3. C.88.8
4. D.0.088
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Answer: B
Q442026 · 28 Jan 2026 · Shift 1
Two wires $A$ and $B$ made of different materials of lengths $6.0 cm$ and $5.4 cm$ , respectively and area of cross sections $3.0 \times 1 0^{- 5} m^{2}$ and $4.5 \times 1 0^{- 5} m^{2}$ , respectively are stretched by the same magnitude under a given load. The ratio of the Young's modulus of $A$ to that of $B$ is $x : 3$ . The value of $x$ is ____
1. A.2
2. B.1
3. C.4
4. D.5
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Answer: D
Q302026 · 28 Jan 2026 · Shift 2
The speed of a longitudinal wave in a metallic bar is 400 m/s. If the density and Young's modulus of the bar material are increased by 0.5% and 1%, respectively then the speed of the wave is changed approximately to ______ m/s.
1. A.398
2. B.402
3. C.401
4. D.399
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Answer: C
Q372026 · 28 Jan 2026 · Shift 2
Match List - I with List - II. $List - I A. Coefficient of viscosity B. Surface tension C. Pressure D. Surface energy List - II I. [ML^{- 1} T^{- 2}] II. [ML^{2} T^{- 2}] III. [ML^{0} T^{- 2}] IV. [ML^{- 1} T^{- 1}]$ Choose the correct answer from the options given below :
1. A.A-I, B-II, C-IV, D-III
2. B.A-IV, B-III, C-I, D-II
3. C.A-IV, B-I, C-II, D-III
4. D.A-I, B-III, C-II, D-IV
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Answer: B
Q292026 · 24 Jan 2026 · Shift 1
A brass wire of length $2 m$ and radius $1 mm$ at $2 7^{\circ} C$ is held taut between two rigid supports. Initially it was cooled to a temperature of $- 4 3^{\circ} C$ creating a tension $T$ in the wire. The temperature to which the wire has to be cooled in order to increase the tension in it to $1.4 T$ , is ____ $^{\circ} C$ .
1. A.-71
2. B.-80
3. C.-65
4. D.-86
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Answer: A