JEE Main · 2021 · 16 Mar 2021 · Shift 1 · Fluid Mechanics

Given below are two statements:
Statement I: Pressure of 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 inter …

When a part of a straight capillary tube is placed vertically in a liquid, the liquid raises upto certain height h. If the inner radius of the capillary tube, density of the liquid and surface tension of the liquid decrease by $1\%$ each, then the height of the liquid in the tube …

Surface tension of two liquids (having same densities), ${\mathrm{T}}_1$ and ${\mathrm{T}}_2$, 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 …

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

A small metallic sphere of diameter 2 mm and density $10.5$ g/cm³ is dropped in glycerine having viscosity 10 Poise and density $1.5$ g/cm³ respectively. The terminal velocity attained by the sphere is $\_\_\_\_$ cm/s.
($\pi =\frac{22}{7}$ and $g=10$ m/s²)

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