A cylindrical block of length 2l is made of two different materials. The uppwer half has density `d_(1)` and and lower half, which is heavier, has density `d_(2)` the block is floating in a liquid of unknown density d with `(l)/(2)` of its length outside the liquid. (a) Find d (b) Show that `dgt(4d_(1))/(3)`

A cylindrical block of length 2l is made of two different materials. T

1.	A cylindrical block of length 2l is made of two different materials. The uppwer half has density `d_(1)` and and lower half, which is heavier, has density `d_(2)` the block is floating in a liquid of unknown density d with `(l)/(2)` of its length outside the liquid. (a) Find d (b) Show that `dgt(4d_(1))/(3)`
Answer» Correct Answer - (a) `d=(2)/(3)(d_(1)+d_(2))`

Discussion

No Comment Found

Related InterviewSolutions

In a two dimensional steady flow the velocity of fluid particle at (x,y) is given by `vecV=(u_(0)+bx)hati-` by `hatj, u_(0)` and b are positive constants. Write the equation of streamilnes. Draw few streamlines for `xgt0`.
To illustrate th principle of a rocket, a student designed a water rocket as shwon in the figure. It is basically a container having pressurized gas in its upper part and water in its lower part. Pressure of the gas is 4.0Mpa. Mass of empty container is 1.0kg and mass of its content is also 1.0kg. The nozzle at the bottom is opened to impart a vertical acceleration to the contaienr. If it is desired that the initial upwards acceleration of the container be 0.5g. what should be the cross sectional area (A) of the exit of the nozzle? Neglect the pressure due to height of water in the contaienr and take atmospheric pressure to be 1.0MPa. g=`10ms^(-2)`.
(i) A projected in still air. With respect to the ball the streamlines appear as shwon in the figure. At which point is the pressure larger -1 or 2? (ii) In the above figure if the ball is also spinning in clockwise sense, in which direction it will get deflected-up or down?
Explain some daily life examples based on capillarity.
Why do clouds float in the sky?
A device used to measure the specific gravity of a liquid is called a hydrogmeter. In a simple hydrometer there is a cylindrical galss tube with some lead-weight at its bottom. The device floats in liquid while remaining vertical. The top part of the tube extends above the liquid and the divisions marked on the tube allows one to directly read the specific gravity of the liquid. The scale on the tube is calibrated such that in pure water it reads 1.0 at the water surface and a lenght `z_(0)` of the tube is submerged. calculate the specific gravity of the liquid if the liquid level is `DeltaZ` above the 1.0 mark. Disregard the curvature of the tube bottom.
State Pascal’s law.
Archimedes’ principle can also be applied to gases.
A wooden stick of length `L`, radius `R` and density `rho` has a small metal piece of mass `m` ( of negligible volume) attached to its one end. Find the minimum value for the mass `m` (in terms of given parameters) that would make the stick float vertically in equilibrium in a liquid of density `sigma(gtrho)`.
A tiny liquid drop is spherical but a larger drop has oval shape?

Discussion

No Comment Found

Related InterviewSolutions

Reply to Comment