There is a horizontal film of soap solution on it a thread is placed in form of a loop. The film is pierced inside the loop and the thread becomes a circular loop of radius R. If the surface tension of the soap solution is T, then the tension in the loop will be

1. 
2. 
3. 
4. 

If two glass plates have water between them and are separated by very small distance (see figure), it is very difficult to pull them apart. It is because the water in between forms cylindrical surface on the side that give rise to lower pressure in the water in comparison to the atmosphere. If the radius of the cylindrical surface is $R$ and surface tension of water is $T$ then the pressure in water between the plates is lower by :

The order and degree of the differential equation ${(1+3\frac{dy}{dx})}^{2/3}=4\frac{d^{3}y}{d{x}^3}$ are:

Due to capillary action, a liquid will rise in a tube if angle of contact is

An aeroplane moving horizontally with a speed of $180km/hr$ drops a food packet while flying at a height of $490m$. The horizontal range of the packet is:

A drop of mercury of radius $2mm$ is split into $8$ identical drops. Find the increase in surface energy. Surface tension of mercury $=0.465J{m}^{-2}$

If two glass plates have water between them and are separated by very small distance (see figure), it is very difficult to pull them apart. It is because the water in between forms cylindrical surface on the side that give rise to lower pressure in the water in comparison to the atmosphere. If the radius of the cylindrical surface is $R$ and surface tension of water is $T$ then the pressure in water between the plates is lower by :

The order and degree of the differential equation ${(1+3\frac{dy}{dx})}^{2/3}=4\frac{d^{3}y}{d{x}^3}$ are:

Due to capillary action, a liquid will rise in a tube if angle of contact is