The time of oscillation of a small drop of liquid under surface tension depends on density

PHYSICS · Single correct · CBSE · Physics · Units and Measurements · Units and Measurements

Problem

The time of oscillation

T

of a small drop of liquid under surface tension depends on density

\rho

, radius

r

, and surface tension

S

, as

T = k \rho^a r^b S^c

, where

k

is a dimensionless constant. The values of

a

b

, and

c

are respectively: (A)

\frac{1}{2}, -\frac{3}{2}, \frac{1}{2}

(B)

\frac{1}{2}, \frac{3}{2}, -\frac{1}{2}

(C)

-\frac{1}{2}, \frac{3}{2}, -\frac{1}{2}

(D)

\frac{1}{2}, \frac{3}{2}, \frac{1}{2}