Maharashtra Board Solutions for Chapter: Mechanical Properties of Fluids, Exercise 14: Exercises

A hydraulic lift is designed to lift heavy objects of maximum mass $2000 \mathrm{kg}$. The area of cross section of piston carrying the load is$2.25\times {10}^{-2}{\mathrm{m}}^2$ What is the maximum pressure the piston would have to bear?

Two capillary tubes of radii $0.3 \mathrm{cm}$ and $0.6 \mathrm{cm}$ are dipped in the same liquid. The ratio of heights through which the liquid will rise in the tubes is 

The energy stored in a soap bubble of diameter $6 \mathrm{cm}$ and $\mathrm{T}=0.04\mathrm{N}/\mathrm{m}$ is nearly

Two hail stones with radii in the ratio of 1:4 fall from a great height through the atmosphere. Than the ratio of their terminal velocities is

In Bernoulli's theorem, which of the following is conserved?

A drop of mercury of radius $0.2 \mathrm{cm}$ is broken into 8 identical droplets. Find the work done if the surface tension of mercury is $435.5 \mathrm{dyne}/\mathrm{cm}.$

How much work is required to form a bubble of $2 \mathrm{cm}$ radius from the soap solution having surface tension $0.07 \mathrm{N}/\mathrm{m}.$
 

A rectangular wire frame of size $2 \mathrm{cm} \mathrm{x} 2 \mathrm{cm},$ is dipped in a soap solution and taken out. A soap film is formed, if the size of the film is changed to $3 \mathrm{cm} \mathrm{x} 3 \mathrm{cm},$ calculate the work done in the process. The surface tension of soap film is $3\mathrm{x}{10}^{-2} \mathrm{N}/\mathrm{m}.$