Question

A liquid drop placed on a horizontal plane has a near spherical shape (slightly flattened
due to gravity). Let R be the radius of its largest horizontal section. A small disturbance
causes the drop to vibrate with frequency v about its equilibrium shape. By dimensional
analysis the ratio
o
can be (Here ois surface tension, pis density. 9 is
V PR
acceleration due to gravity, and k is an arbitrary dimensionless constant)​

Answer 1

Answer:

A liquid drop placed on a horizontal plane has a near spherical shape (slightly flattened due to gravity). Let R be

the radius of its largest horizontal section. A small disturbance causes the drop to vibrate with frequency v about

its equilibrium shape. By dimensional analysis the ratio

3

v

σ / ρR

can be (Here σ is surface tension, ρ is density,

g is acceleration due to gravity, and k is arbitrary dimensionless constant

Explanation: