If the radius of the opening of the dropper is $r$, the vertical force due to the surface tension on the drop of radius $R$ (assuming $r<<R$) is:

 where a,b,c are real and non-zero=

The basic problem of this indeterminate form is to know from where  tends to one (right or left) and what function reaches its limit more rapidly.

Which graph present the variation of surface tension with temperature over small temperature ranges for coater.

The basic problem of this indeterminate form is to know from where  tends to one (right or left) and what function reaches its limit more rapidly.

A soap bubble is blown with the help of a mechanical pump at the mouth-of a tube the pump produces a certain increase per minute in the volume of the bubble irrespective of its internal pressure the graph between the pressure inside the soap bubble and time t will be

The basic problem of this indeterminate form is to know from where  tends to one (right or left) and what function reaches its limit more rapidly.

The basic problem of this indeterminate form is to know from where  tends to one (right or left) and what function reaches its limit more rapidly.

The basic problem of this indeterminate form is to know from where  tends to one (right or left) and what function reaches its limit more rapidly.

We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means 0 over 0 or  

We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means 0 over 0 or 

The correct relation is.

A vessel whose bottom has round holes with diameter of 0.1 mm is filled with water. The maximum height to which the water can be filled without leakage is
(S.T. of water )