Time period of an oscillating drop of radius r, density `rho` and surface tension S is `t = K sqrt((rho r^3)/(S))`. Check the correctness of this relation

Time period of an oscillating drop of radius r, density rho and surface tension T is t=ksqrt((rhor^5)/T) . Check the correctness of the relation

Internal pressure inside a liquid drop of radius r and surface tension T is

Time period(T) in terms of pressure(P), density( rho ) and surface tension(S) is on basis of dimensional analysis

A spherical liquid drop is placed on a horizontal plane . A small distrubance cause the volume of the drop to oscillate . The time period oscillation (T) of the liquid drop depends on radius (r) of the drop , density (rho) and surface tension tension (S) of the liquid. Which amount the following will be be a possible expression for T (where k is a dimensionless constant)?

The time period (T) of small oscillations of the surface of a liquid drop depends on its surface tension (s), the density (rho) of the liquid and it's mean radius (r) as T = cs^(x) rho^(y)r^(z) . If in the measurement of the mean radius of the drop, the error is 2 % , the error in the measurement of surface tension and density both are of 1% . Find the percentage error in measurement of the time period.

The frequency (V) of an oscillatingj drop may depends upon radius (r ) of the drop density (rho) of liquid and the surface tension (S) of the liquid. Deduce of formula dimensionally.

If the time period t of the oscillation of a drop of liquid of density d, radius r, vibrating under surface tension s is given by the formula t=sqrt(t^(2b)s^(c)d^(a//2)) . It is observed that the time period is directly proportional to sqrt((d)/(s)). The value of b should therefore be:

Eight spherical droplets, each of radius r of a liquid of density rho and surface ternsion T coalesce to form one big drop. If s is the specific heat of the liquid then the rise in the temperature of the liquid in this process is

Dimensionsal methods provide three major advantages in verification , deviation , and changing the system of units . Any empirical formula that is derived based on this method has to be verified and propportionality constants found by experimental means . The presence or absence of certain factors - non dimensional constants or variables - cannot be identified by this method . So every dimensionally correct relation cannot be taken as perfectly correct. The time period of oscillation of a drop depends on surface tension sigma , density of the liquid rho , and radius r . The relation is

If the time period (T) of vibration of a liquid drop depends on surface tension (S) , radius ( r ) of the drop , and density ( rho ) of the liquid , then find the expression of T .