Properties of Solids & Fluids · JEE Main previous year questions

2026 32 questions

1. Q282026 · 23 Jan 2026 · Shift 1
   
   1. A.$B$
   2. B.$A$
   3. C.$D$
   4. D.$C$
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   Answer: D

2. Q432026 · 23 Jan 2026 · Shift 2

   A small metallic sphere of diameter 2 mm and density $10.5{\text{ g/cm}}^3$ is dropped in glycerine having viscosity 10 Poise and density $1.5{\text{ g/cm}}^3$ respectively. The terminal velocity attained by the sphere is _____ cm/s. ($\pi =\frac{22}{7}$ and $g=10{\text{ m/s}}^2$)

   1. A.1.0
   2. B.1.5
   3. C.3.0
   4. D.2.0
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   Answer: D

3. Q442026 · 23 Jan 2026 · Shift 2

   An air bubble of volume $2.9{\text{ cm}}^3$ rises from the bottom of a swimming pool of 5 m deep. At the bottom of the pool water temperature is $17^{\circ }\text{C}$. The volume of the bubble when it reaches the surface, where the water temperature is $27^{\circ }\text{C}$, is _____ ${\text{cm}}^3$. ($g=10{\text{ m/s}}^2$, density of water $=10^3{\text{ kg/m}}^3$, and 1 atm pressure is $10^5\text{ Pa}$ )

   1. A.2.0
   2. B.4.2
   3. C.3.0
   4. D.4.5
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   Answer: D

4. Q502026 · 23 Jan 2026 · Shift 2· Numerical answer

   A ball of radius $r$ and density $\rho$ dropped through a viscous liquid of density $\sigma$ and viscosity $\eta$ attains its terminal velocity at time $t$, given by $t=A{\rho }^a{r}^b{\eta }^c{\sigma }^d$, where $A$ is a constant and $a,b,c$ and $d$ are integers. The value of $\frac{b+c}{a+d}$ is _____.

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   Answer: 1

5. Q332026 · 22 Jan 2026 · Shift 1

   Given below are two statements : Statement I : Pressure of a fluid is exerted only on a solid surface in contact as the fluid-pressure does not exist everywhere in a still fluid. Statement II : Excess potential energy of the molecules on the surface of a liquid, when compared to interior, results in surface tension. In the light of the above statements, choose the correct answer from the options given below

   1. A.Statement I is false but Statement II is true
   2. B.Statement I is true but Statement II is false
   3. C.Both Statement I and Statement II are false
   4. D.Both Statement I and Statement II are true
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   Answer: A

6. Q322026 · 21 Jan 2026 · Shift 2

   Surface tension of two liquids (having same densities), $T_1$ and $T_2$, are measured using capillary rise method utilizing two tubes with inner radii of $r_1$ and $r_2$ where $r_1>r_2$. The measured liquid heights in these tubes are $h_1$ and $h_2$ respectively. [Ignore the weight of the liquid above the lowest point of miniscus]. The heights $h_1$ and $h_2$ and surface tensions $T_1$ and $T_2$ satisfy the relation :

   1. A.$h_1>h_2$ and $T_1=T_2$
   2. B.$h_1<h_2$ and $T_1=T_2$
   3. C.$h_1>h_2$ and $T_1<T_2$
   4. D.$h_1=h_2$ and $T_1=T_2$
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   Answer: B

7. Q482026 · 21 Jan 2026 · Shift 2· Numerical answer

   The terminal velocity of a metallic ball of radius 6 mm in a viscous fluid is $20cm/s$. The terminal velocity of another ball of same material and having radius 3 mm in the same fluid will be ____ $cm/s$.

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   Answer: 5