Home
Class 11
PHYSICS
A cuboid (axxaxx2a) is filled with two i...


A cuboid `(axxaxx2a)` is filled with two immiscible liquid of density `2rho&rho` as shown in the figure. Neglecting atmospheric pressure ratio of force on base & side wall of the cuboid is
(a). `2:3`
(b). `1:3`
(c). `5:6`
(d). `6:5`

Text Solution

Verified by Experts

The correct Answer is:
D
`F_(b)=(2rhogh+rhogh)a^(2)=3rhogha^(2),F_(w)=[(rhogh)/(2)]ah+(2rhogh)ah=(5)/(2)rhogha^(2)` [here `h=a`], `(F_(b))/(F_(w))=(3)/(5//2)=((6)/(5))`
Promotional Banner

Topper's Solved these Questions

  • ELASTICITY, SURFACE TENSION AND FLUID MECHANICS

    ALLEN |Exercise Exercise 1 (Elasticity)|16 Videos

  • ELASTICITY, SURFACE TENSION AND FLUID MECHANICS

    ALLEN |Exercise Exercise 1 (Surface Tension)|21 Videos

  • CENTRE OF MASS

    ALLEN |Exercise EXERCISE-V B|19 Videos

  • ERROR AND MEASUREMENT

    ALLEN |Exercise Part-2(Exercise-2)(B)|22 Videos

Similar Questions

Explore conceptually related problems

A sealed tank containing a liquid of density rho moves with horizontal acceleration a as shown in the figure. The difference in pressure between two points A and B will be

A siphon tube is discharging a liquid of density 900(kg)/(m^(3)) as shown in figure. (P_(0)=1.01xx10^(5) N//m^(2)) Pressure at point C is

A siphon tube is discharging a liquid of density 900(kg)/(m^(3)) as shown in figure. (P_(0)=1.01xx10^(5) N//m^(2)) Pressure at point B is

A container having two immiscible liquids of densities 'p' and '2p' moves with an upward acceleration a=g The values of P_(Q)-P_(0) is (where P_(0) = atmospheric pressure)

Two miscible liquids of densities 1.2gm//cm and 1.4gm//cm aer mixed with a proportion ratio of their volumes equal to 2.5: what is the density of redulting liquid?

A wooden cylinder of diameter 4 r, height H and density rho//3 is kept on a hole of diameter 2 r of a tank, filled with water of density rho as shown in the The block in the above question is maintained by external means and the level of liquid is lowered. The height h_(2) when this external force reduces to zero is

Two immiscible of densities 2.5g//cm^(3) and 0.8g//cm^(3) are taken in the ratio of their masses as 2:3 respectively find the average density of the liquid conbination.

The vessel shown in the figure has a two sections of areas of cross-section A_1 and A_2 . A liquid of density rho fills both th sections, up to a height h in each Neglect atmospheric pressure. Choose the wrong option. .

A homogeneous solid cylinder of length L(LltH/2), cross-sectional area A/5 is immersed such that it floats with its axis vertical at the liquid-liquid interface with length L/4 in the denser liquid as shown in the figure. The lower density liquid is open to atmosphere having pressure P_0 . Then density D of solid is given by

A cylinderical rod of length l=2m & density (rho)/(2) floats vertically in a liquid of density rho as shown in figure (i). Show that it performs SHM when pulled slightly up & released find its time period. Neglect change in liquid level. (ii). Find the time taken by the rod to completely immerse when released from position shown in (b). Assume that it remains vertical throughout its motion (take g=pi^(2)m//s^(2) )