Figure shows an open tube which contains some water and a less dense liquid poured ino the right hand side. If the density of the unknown liquid is `rho_(x)`, show that `rho_(x)=(rho_(w)h_(w))/(h_(x))`
Text Solution
Verified by Experts
Consider levels `D` and `A` in the tube. If the pressures at `D` and `A` are not equal, then water would flow. Since water does no flow, the pressures at `D` and `A` are equal. `P_(A)=P_(atm)=rho_(w)gh_(w)` and `P_(D)=P_(atm)+rho_(x)gh_(x)` Equating `P_(A)` and `P_(D)` we obtain `rho_(x)=(rho_(w)h_(w))/(h_(x))`
A block of material has a density rho_(1) and floats three-fourth submerged in a liquid of unknown density. Show tht the density rho_(2) of the unknown liquid is given by rho_(2)=(4)/(3)rho_(1) .
A container (see figure) contains a liquid upto a height h. The density of the liquid is The gauge pressure at point P is (rho gh )/(x ) . Find the value of x
Two identical cylindrical vessels with their bases at the same level each, contain a liquid of density rho . The area of either base is A but in one vessel the liquid heigth is h_(1) and in the other liquid height is h_(2)(h_(2)lth_(1)) . If the two vessel are connected, the work done by gravity in equalizing the level is
A vertical U -tube has two liquids 1 and 2 . The heights of liquids columns in both the limbs are h and 2h , as shown in the figure. If the density of the liquid 1 is 2rho . a. Find the density of liquid 2 . b. If we accelerate the tube towards right till the heights of liquid columns will be the same, find the acceleration of the tube.
A narrow U-tube placed on a horizontal surface contains two liquids of densities rho_(1) and rho_(2) . The columns of the liquids are indicated in the figure. The ratio (rho_(1))/(rho_(2)) is equal to :
Figure shows a closed container completely filled with an ideal liquid of density rho . In the liquid there is a spherical body of volume V and density sigma attached to a string whose other end is attached to the roof of the container. The container is accelerating with an acceleration 'a' towards right. The force exerted by the liquid on the spherical body when it is in equillibrium with respect to the liquid, will be :
Given figure shows U- shaped tube with two hands A and B separated by a semi-permeable membrane (i) Adding solute to the right side lowers the value of Psi_(s) Causing water to move to the right side of the tube. (ii) Applying positive pressure to the left side decreases the vaule of Psi_(rho) causing water to move to the right side of the tube. (iii) Applying negative pressure to the left side decreases the value of Psi_(rho) causing water to move to the right side of the tube. Which of the above statements is // are true?
In a U-tube if different liquids are filled then we can say that pressure at same level of same liquid is same. Q. In a U-tube 20 cm of a liquid of density rho is on left hand side and 10 cm of another liquid of density 1.5 rho is on right hand side in between them there is a third liquid of density 2rho what is the value of h .
A tube U-shaped has a uniform cross-sectionn with arm length l_(1) and l_(2) (l_(1)gtl_(2)) . Tube has a liquid of density rho_(1) filled to a height h. another liquid of density rho_(2)=(rho_1)(1)/(4) is poured in arm A. both liquids are immiscible. the length of second liquid that should be poured in A so that first overtone of A is in unisom with fundamental tone of B is:
A U-tube open from both ends, contain two arms, arm-1 and arm-2 each of having equal cross-section and height of each arm is 1m. Water of density rho_(w) and an unknown liquid of density rho is fliied as shown A tuning fork of frequency 300 Hz is vibrated on arm-1, then air column vibrated is fundamental tone. If the same tuning fork is vibrated on arm-2, then air column vibrates in 1st overtone V_("sound") = 300 m//sec , g = 10//sec^(2) , density of water rho_(w) = 10^(3)kg//m^(2) , atmospheric pressure = 10^(2) Pa) Nelect the effect of surface tension and end correction : Density of the unknown liquid (rho) is :
