Properties of Solids & Fluids · JEE Main previous year questions

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2024 32 questions

Q342024 · 9 Apr 2024 · Shift 1
A sphere of relative density $σ$ and diameter $D$ has concentric cavity of diameter $d$ . The ratio of $\frac{D}{d}$ , if it just floats on water in a tank is :
1. A. $(\frac{σ - 2}{σ + 2})^{1/3}$
2. B. $(\frac{σ + 1}{σ - 1})^{1/3}$
3. C. $(\frac{σ - 1}{σ})^{1/3}$
4. D. $(\frac{σ}{σ - 1})^{1/3}$
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Answer: D
Q552024 · 9 Apr 2024 · Shift 1· Numerical answer
Two persons pull a wire towards themselves. Each person exerts a force of $200 N$ on the wire. Young's modulus of the material of wire is $1 \times 1 0^{11} N m^{- 2}$ . Original length of the wire is $2 m$ and the area of cross section is $2 cm^{2}$ . The wire will extend in length by ______ $μ m$ .
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Answer: 20
Q452024 · 9 Apr 2024 · Shift 2
The excess pressure inside a soap bubble is thrice the excess pressure inside a second soap bubble. The ratio between the volume of the first and the second bubble is:
1. A. $1 : 9$
2. B. $1 : 27$
3. C. $1 : 81$
4. D. $1 : 3$
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Answer: B
Q462024 · 9 Apr 2024 · Shift 2
A spherical ball of radius $1 \times 1 0^{- 4} m$ and density $1 0^{5} kg/ m^{3}$ falls freely under gravity through a distance $h$ before entering a tank of water. If after entering in water the velocity of the ball does not change, then the value of $h$ is approximately: (The coefficient of viscosity of water is $9.8 \times 1 0^{- 6} N s/ m^{2}$ )
1. A. $2518 m$
2. B. $2396 m$
3. C. $2249 m$
4. D. $2296 m$
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Answer: A
Q472024 · 8 Apr 2024 · Shift 1
Correct Bernoulli's equation is (symbols have their usual meaning) :
1. A. $P + \frac{1}{2} ρ g h + \frac{1}{2} ρ v^{2} = constant$
2. B. $P + m g h + \frac{1}{2} m v^{2} = constant$
3. C. $P + ρ g h + ρ v^{2} = constant$
4. D. $P + ρ g h + \frac{1}{2} ρ v^{2} = constant$
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Answer: D
Q552024 · 8 Apr 2024 · Shift 1· Numerical answer
A liquid column of height $0.04 cm$ balances excess pressure of a soap bubble of certain radius. If density of liquid is $8 \times 1 0^{3} kg m^{- 3}$ and surface tension of soap solution is $0.28 Nm^{- 1}$ , then diameter of the soap bubble is ________ $cm$ . (if $g = 10 m s^{- 2}$ )
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Answer: 7
Q432024 · 8 Apr 2024 · Shift 2
1. A. $5 : 4$
2. B. $9 : 10$
3. C. $8 : 9$
4. D. $1 : 1$
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Answer: D
Q582024 · 8 Apr 2024 · Shift 2· Numerical answer
Small water droplets of radius $0.01 mm$ are formed in the upper atmosphere and falling with a terminal velocity of $10 cm/s$ . Due to condensation, if $8$ such droplets are coalesced and formed a larger drop, the new terminal velocity will be ____ $cm/s$ .
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Answer: 40
Q472024 · 6 Apr 2024 · Shift 2
Pressure inside a soap bubble is greater than the pressure outside by an amount : (given : $R =$ Radius of bubble, $S =$ Surface tension of bubble)
1. A. $\frac{S}{R}$
2. B. $\frac{4 S}{R}$
3. C. $\frac{4 R}{S}$
4. D. $\frac{2 S}{R}$
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Answer: B
Q602024 · 6 Apr 2024 · Shift 2· Numerical answer
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Answer: 1
Q412024 · 5 Apr 2024 · Shift 2
Match List I with List II : $A. B. C. D. LIST I A force that restores an elastic body of unit area to its original state Two equal and opposite forces parallel to opposite faces Forces perpendicular everywhere to the surface per unit area same everywhere Two equal and opposite forces perpendicular to opposite faces I. II. III. IV. LIST II Bulk modulus Young’s modulus Stress Shear modulus$ Choose the correct answer from the options given below :
1. A.(A)-(IV), (B)-(II), (C)-(III), (D)-(I)
2. B.(A)-(III), (B)-(IV), (C)-(I), (D)-(II)
3. C.(A)-(II), (B)-(IV), (C)-(I), (D)-(III)
4. D.(A)-(III), (B)-(I), (C)-(II), (D)-(IV)
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Answer: B
Q472024 · 5 Apr 2024 · Shift 2
The vehicles carrying inflammable fluids usually have metallic chains touching the ground:
1. A.To protect tyres from catching dirt from ground
2. B.It is a custom
3. C.To alert other vehicles
4. D.To conduct excess charge due to air friction to ground and prevent sparking
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Answer: D
Q522024 · 5 Apr 2024 · Shift 2· Numerical answer
A sonometer wire of resonating length $90 cm$ has a fundamental frequency of $400 Hz$ when kept under some tension. The resonating length of the wire with fundamental frequency of $600 Hz$ under same tension ____ $cm$ .
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Answer: 60
Q592024 · 5 Apr 2024 · Shift 2· Numerical answer
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Answer: 1000
Q352024 · 4 Apr 2024 · Shift 1
1. A.Statement I is correct but Statement II is incorrect.
2. B.Both Statement I and Statement II are correct.
3. C.Both Statement I and Statement II are incorrect.
4. D.Statement I is incorrect but Statement II is correct.
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Answer: A
Q542024 · 4 Apr 2024 · Shift 1· Numerical answer
A soap bubble is blown to a diameter of $7 cm$ . $36960 erg$ of work is done in blowing it further. If surface tension of soap solution is $40 dyne/cm$ then the new radius is ____ $cm$ . Take $(π = \frac{22}{7})$ .
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Answer: 7
Q472024 · 4 Apr 2024 · Shift 2
Given below are two statements : Statement I : The contact angle between a solid and a liquid is a property of the material of the solid and liquid as well. Statement II : The rise of a liquid in a capillary tube does not depend on the inner radius of the tube. In the light of the above statements, choose the correct answer from the options given below :
1. A.Both Statement I and Statement II are false.
2. B.Both Statement I and Statement II are true.
3. C.Statement I is false but Statement II is true.
4. D.Statement I is true but Statement II is false.
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Answer: D
Q562024 · 4 Apr 2024 · Shift 2· Numerical answer
Mercury is filled in a tube of radius $2 cm$ up to a height of $30 cm$ . The force exerted by mercury on the bottom of the tube is ________ $N$ . (Given, atmospheric pressure $= 1 0^{5} N m^{- 2}$ , density of mercury $= 1.36 \times 1 0^{4} kg m^{- 3}$ , $g = 10 m s^{- 2}$ , $π = \frac{22}{7}$ )
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Answer: 177
Q492024 · 1 Feb 2024 · Shift 1
With rise in temperature, the Young's modulus of elasticity :
1. A.changes erratically
2. B.increases
3. C.decreases
4. D.remains unchanged
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Answer: C
Q442024 · 1 Feb 2024 · Shift 2
If the root mean square velocity of hydrogen molecule at a given temperature and pressure is $2 km/s$ , the root mean square velocity of oxygen at the same condition in $km/s$ is :
1. A.1.0
2. B.1.5
3. C.2.0
4. D.0.5
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Answer: D
Q542024 · 31 Jan 2024 · Shift 1· Numerical answer
The depth below the surface of sea to which a rubber ball be taken so as to decrease its volume by $0.02%$ is ____ $m$ . (Take density of sea water $= 1 0^{3} kg m^{- 3}$ , Bulk modulus of rubber $= 9 \times 1 0^{8} N m^{- 2}$ , and $g = 10 m s^{- 2}$ )
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Answer: 18
Q422024 · 31 Jan 2024 · Shift 2
A small spherical ball of radius $r$ , falling through a viscous medium of negligible density has terminal velocity ' $v$ '. Another ball of the same mass but of radius $2 r$ , falling through the same viscous medium will have terminal velocity:
1. A. $4 v$
2. B. $2 v$
3. C. $\frac{v}{4}$
4. D. $\frac{v}{2}$
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Answer: D
Q512024 · 31 Jan 2024 · Shift 2· Numerical answer
Two blocks of mass $2 kg$ and $4 kg$ are connected by a metal wire going over a smooth pulley as shown in figure. The radius of wire is $4.0 \times 1 0^{- 5} m$ and Young's modulus of the metal is $2.0 \times 1 0^{11} N/ m^{2}$ . The longitudinal strain developed in the wire is $\frac{1}{α π}$ . The value of $α$ is ____. [Use $g = 10 m/ s^{2}$ ]
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Answer: 12
Q492024 · 30 Jan 2024 · Shift 1
Young's modulus of material of a wire of length ' $L$ ' and cross-sectional area $A$ is $Y$ . If the length of the wire is doubled and cross-sectional area is halved then Young's modulus will be :
1. A. $4 Y$
2. B. $2 Y$
3. C. $\frac{Y}{4}$
4. D. $Y$
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Answer: D
Q592024 · 30 Jan 2024 · Shift 1· Numerical answer
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Answer: 2