A thin $1 \mathrm{m}$ long rod has a radius of $5 \mathrm{mm}$. A force of $50{\text{π×10}}^3 \mathrm{N}$ is applied at one end to determine its Young's modulus. Assume that the force is exactly known. If the least count in the measurement of all lengths is $0.01 \mathrm{mm}$, which of the following statements is false?

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 gives rise to lower pressure in the water in comparison to 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:

A cylindrical block of wood (density = $650 \mathrm{kg} {\mathrm{m}}^{-3}$), of base area $30\mathrm{ }{\mathrm{cm}}^2$ and height $54 \mathrm{cm}$, floats in a liquid of density $900 \mathrm{kg} {\mathrm{m}}^{-3}$. The block is depressed slightly and then released. The time period of the resulting oscillations of the block would be equal to that of a simple pendulum of length (nearly) :

In the diagram shown, the difference in the two tubes of the manometer is $5 \mathrm{cm}$, the cross-section of the tube at $A$ and $B$ is $6 {\mathrm{mm}}^2$ and $10 {\mathrm{mm}}^2$ respectively. The rate at which water flows through the tube is $\left(g=10 \mathrm{m} {\mathrm{s}}^{-2}\right)$