Student Login

Home›Chapters›Surface Tension PYQs›Force due to Surface Tension›Question 17

MHT CET 2021 (22 Sep, Shift 1) · Force due to Surface Tension

Force due to Surface Tension question from MHT CET 2021 (22 Sep, Shift 1)

Q17MHT CET 2021 · 22 SEP · SHIFT 1Difficult

Force due to Surface Tension

A drop of liquid of density ' $\rho$ ' is floating half immersed in a liquid of density ' $d$ '. If ' $T$ ' is the surface tension, then the diameter of the drop of the liquid is

Show answer and solution

Answer: (d)

Weight = buoyancy + surface force: $\frac{4}{3}\pi r^3\rho g = \frac{2}{3}\pi r^3 d g + 2\pi r T$ .
$r^2 = \dfrac{3T}{g(2\rho - d)}$ .
Diameter $D = 2r = \sqrt{\dfrac{12T}{g(2\rho - d)}}$ . So the answer is (d).

Report a mistake

More questions on Force due to Surface Tension

A square frame of each side L is dipped in a soap and taken out. The force acting on the…MHT CET 2020 (16 Oct, Shift 2)
A small spherical droplet of density d is floating exactly half immersed in a liquid of…JEE Main 2020 (9 Jan, Shift 2)
If two glass plates have water between them and are separated by very small distance (see…JEE Main 2015 (10 Apr, Shift 1)
On heating water, bubbles being formed at the bottom of the vessel detach and rise. Take…JEE Main 2014
A thin liquid film formed between a U-shaped wire and a light slider supports a weight of…JEE Main 2012 (AIEEE)
A square frame of each side L is dipped in a soap and taken out, the force acting on the…MHT CET 2026 (15 Apr, Shift 2)
A metal wire of length ' L ' and density ' d ' rests horizontally on the free surface of…MHT CET 2026 (19 May, Shift 1)
A drop of some liquid of volume 0.04 cm 3 is placed on the surface of the glass plate…MHT CET 2026 (14 May, Shift 1)