Question

Study the following:

List - I	List - II
a) Excess pressure	e) Independent of temperature
b) Surface energy	f) Varies directly with (radius)${}^2$
c) Capillary rise	g) Varies directly proportional to temperature
d) Angle of contact	h) Varies inversely with (Area)${}^{1/2}$
	i) Varies inversely with (Volume)${}^{1/3}$

The correct match is:

• A. a--i;b-- h; c -- e; d -- f
• B. a-- h; b-- i; c -- g; d -- e
• C. a -- h; b-- f; c -- i; d -- e
• D. a-- i; b-- f; c -- h; d -- g

Answer 1

The correct option is D a-- i; b-- f; c -- h; d -- g

Excess pressure $P_{in}-P_{out}=\frac{4T}{R}$

Pressure difference $\propto \frac{1}{R}$$\propto \frac{1}{(R^3{)}^{1/3}}\propto \frac{1}{(Volume{)}^{1/3}}$

Surface energy $=\frac{U}{2lx}=\frac{△A}{2lx}\propto (radius{)}^2$

Capillary rise $=\frac{2Tcos\theta }{rpg}\propto \frac{1}{r}\propto \frac{1}{(r^2{)}^{1/2}}\propto \frac{1}{(Area{)}^{1/2}}$

Angle of contact changes, in general decreases with increase in temperature.