Fluid Mechanics JEE Main PYQs PDF, 2020–2026

Fluid Mechanics questions per year

Topic-wise weightage by year

How many Fluid Mechanics questions each topic had in every JEE Main year (all shifts), counting every question asked, including ones not in the PDF. Darker cells mean more questions.

Swipe the table sideways for older years.

Newest questions (2026)

The 12 newest of the 13 JEE Main 2026 Fluid Mechanics questions in the free PDF, latest shift first.

1. JEE Main 2026 · 8 Apr · Shift 2 · Bernoulli's Theorem

   A liquid of density $600{\ \mathrm{kg}}/{\mathrm{m}}^{3}$ flowing steadily in a tube of varying cross-section. The cross-section at a point $A$ is $1.0{\ \mathrm{cm}}^{2}$ and that at $B$ is $20{\ \mathrm{mm}}^{2}$. Both the points $A$ and $B$ are in same horizontal plane, the speed of the liquid at $A$ is $10{\ \mathrm{cm}}/{\mathrm{s}}$. The difference in pressures at $A$ and $B$ points is $\_\_\_\_$ Pa.

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2. JEE Main 2026 · 8 Apr · Shift 2 · Viscosity and Stoke's Law

   A spherical liquid drop of radius $R$ acquires the terminal velocity $v_{1}$ when falls through a gas of viscosity $\eta$. Now the drop is broken into 64 identical droplets and each droplet acquires terminal velocity $v_{2}$ falling through the same gas. The ratio of terminal velocities $v_{1}/v_{2}$ is $\_\_\_\_$ .

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3. JEE Main 2026 · 6 Apr · Shift 2 · Bernoulli's Theorem

   A cylindrical vessel of 40 cm radius is completely filled with water and its capacity is $528{\mathrm{dm}}^{3}$ (dm : decimeter) The vessel is placed on a solid block of exactly same height as vessel. If a small hole is made at 70 cm below the top of water level, then horizontal range of water falling on the ground in the beginning is $\_\_\_\_$ cm .

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4. JEE Main 2026 · 4 Apr · Shift 2 · Equation of Continuity

   A water spray gun is attached to a hose of cross sectional area $30{\ \mathrm{cm}}^{2}$. The gun comprises of 10 perforations each of cross sectional area of $15{\ \mathrm{mm}}^{2}$. If the water flows in the hose with the speed of $50{\ \mathrm{cm}}/{\mathrm{s}}$, calculate the speed at which the water flows out from each perforation. (Neglect any edge effects)

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5. JEE Main 2026 · 2 Apr · Shift 2 · Viscosity and Stoke's Law

   If an air bubble of diameter 2 mm rises steadily through a liquid of density 2000 kg/m³ at a rate of 0.5 cm/s, then the coefficient of viscosity of liquid is ______ Poise. (Take g = 10 m/s²)

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6. JEE Main 2026 · 2 Apr · Shift 1 · Buoyancy and Archimedes' Principle

   A tub is filled with water and a wooden cube $10\ \text{cm}\times 10\ \text{cm}\times 10\ \text{cm}$ 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 $1\ \text{g/cm}^{3}$ and density of wood as $0.4\ \text{g/cm}^{3}$)

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7. JEE Main 2026 · 24 Jan · Shift 1 · Viscosity and Stoke's Law

   Sixty four rain drops of radius 1 mm each falling down with a terminal velocity of $10{\ \mathrm{cm}}/{\mathrm{s}}$ coalesce to form a bigger drop. The terminal velocity of bigger drop is

   $\_\_\_\_$ ${\mathrm{cm}}/{\mathrm{s}}$.

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8. JEE Main 2026 · 24 Jan · Shift 2 · Buoyancy and Archimedes' Principle

   A cubical block of density $\rho_{b}=600{\ \mathrm{kg}}/{\mathrm{m}}^{3}$ floats in a liquid of density $\rho_{{{\mathrm{e}}}}=900{\mathrm{kg}}/{\mathrm{m}}^{3}$. If the height of block is $H=8.0{\ \mathrm{cm}}$ then height of the submerged part is

   $\_\_\_\_$ cm .

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9. JEE Main 2026 · 23 Jan · Shift 2 · Viscosity and Stoke's Law

   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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10. JEE Main 2026 · 23 Jan · Shift 2 · Viscosity and Stoke's Law

    A small metallic sphere of diameter 2 mm and density $10.5{\ \mathrm{g}}/{\mathrm{cm}}^{3}$ is dropped in glycerine having viscosity 10 Poise and density $1.5{\ \mathrm{g}}/{\mathrm{cm}}^{3}$ respectively. The terminal velocity attained by the sphere is $\_\_\_\_$ ${\mathrm{cm}}/{\mathrm{s}}$.

    $\left(\pi=\frac{22}{7}\right.$ and $\left.g=10{\ \mathrm{m}}/{\mathrm{s}}^{2}\right)$

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11. JEE Main 2026 · 22 Jan · Shift 1 · Pressure and Pascal's Law

    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

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12. JEE Main 2026 · 21 Jan · Shift 1 · Bernoulli's Theorem

    Water flows through a horizontal tube as shown in the figure. The difference in height between the water columns in vertical tubes is 5 cm and the area of cross-sections at $A$ and $B$ are $6{\ \mathrm{cm}}^{2}$ and $3{\ \mathrm{cm}}^{2}$ respectively. The rate of flow will be $\_\_\_\_$ ${\mathrm{cm}}^{3}/{\mathrm{s}}$. (take $g=10{\ \mathrm{m}}/{\mathrm{s}}^{2}$ )

    
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