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

Two bubbles A and B (A>B) are joined through a narrow tube than,

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

In capillary pressure below the curved surface at water will be

 is equal to

The substitution rule for calculating limits is a method of finding limits, by simply substituting the value of x with the point at which we want to calculate the limit.

A spherical drop of coater has radius 1 mm if surface tension of context is   difference of pressures betweca inside and outside of the spherical drop is

The substitution rule for calculating limits is a method of finding limits, by simply substituting the value of x with the point at which we want to calculate the limit.

The radii of two soap bubbles are r₁ and r₂. In isothermal conditions two meet together is vacum. Then the radius of the resultant bubble is given by

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