A drop of liquid of radius `R=10^(2)`m having surface tension `S=(0.1)/(4pi)N//m^(-1)` divides itself into K identical drop. In this process the total change in the surface energy `Delta U =10^(-3)` J. If `K=10^(alpha)` , then the value of `alpha` is :

A sphere liquid drop of radius R is divided into eight equal droplets. If surface tension is S, then the work done in this process will be

A small liquid drop of radius R is divided into 27 identical liquid drops. If the surface tension is T, then the work done in the process will be :

A water drop of radius 1 mm is broken into 10^(6) identical drops, surface tension of water is 72 dynes/cm find the energy spent in this process.

If the area of the triangle having vertices (a+1,0)(a-1,0) and (a,sqrt(3)) is k sqrt(3) ,then the value of "K" is

A spherical drop of water has 2.5 mm radius. If the surface tension of water is 70 xx 10^(-3) N m^(-1) , then the excess pressure inside the drop is

To what height does a liquid of density 0.4 xx 10^(3) kg m^(-3) and surface tension 0.05 Nm^(-1) rise in a capillary tube of radius 0.2 mm when dipped in ? [Given cos theta = 0.4 g = 10 m s^(-2) ]

A soap bubble, having radius of 1 mm, is blown from a detergent solution having radius of 1 mm is blown from a detergent solution having a surface tension of 2.5xx10^(-2)N//m . The pressure inside the bubble equals at a point Z_(0) below the free surface of water in a container. Taking g=10 m//s^(2) , density of water =10^(3) kg//m^(3) , the value of Z_(0) is :

A drop of water of radius 4 mm splits into droplets such that the mcrease in surface area is (300)/(pi) times the surface area of the original drop. The increase in surface energy is [Surface tension of water = 0.07 N/m]

A mercury drop of radius 1.0 cm is sprayed into 10^(6) droplets of equal sizes. The energy expended in this process is (Given, surface tension of mercury is 32 xx 10^(-2) Nm^(-1) )