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 )

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

A capillary tube at radius R  is immersed in water and water rises in it to a height H. Mass of water in the capillary tube is M. If the radius of the tube is doubled. Mass of water that will rise in the, capillary tube will now be

Direct substitution can sometimes be used to calculate the limits for functions involving trigonometric functions.

If the excess pressure inside a soap bubble is balanced by oil column of height 2 mm then the surface tension of soap solution will be 

The quadratic equation whose roots are I and m where is