Consider a mercury-filled tube as shown in the figure below 

Which of the following options about the pressures at the lettered locations $(A, B, C, D)$ is true?

KVPY 2021, Diffcult
Download our app for free and get startedPlay store
(B)

$\Delta p =\rho g \Delta h$

$B, C, D$ are at

same level, so

their $\Delta h =0$

$\Rightarrow \Delta p =0$

$\Rightarrow$ same pressure

but, $A$ is above them

so its pressurew is less

$P_B = P_C = P_D > P_A$

art

Download our app
and get started for free

Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*

Similar Questions

  • 1
    An ice cube contains a large air bubble. The cube is floating on the horizontal surface of water contained in a trough. What will happen to the water level, when the cube melts?
    View Solution
  • 2
    Two substances of densities ${\rho _1}$ and ${\rho _2}$ are mixed in equal volume and the relative density of mixture is $4$. When they are mixed in equal masses, the relative density of the mixture is $3$. The values of ${\rho _1}$ and ${\rho _2}$ are
    View Solution
  • 3
    A plane is in level flight at constant speed and each of its two wings has an area of $25 \;m ^{2}$ If the speed of the air is $180 \;km / h$ over the lower wing and $234\; km / h$ over the upper wing surface, determine the plane's mass in $kg$. (Take air density to be $1\; kg m ^{-3}$ ).
    View Solution
  • 4
    In Millikan's oil drop experiment, what is viscous force acting on an uncharged drop of radius $2.0 \times 10^{-5}\, {m}$ and density $1.2 \times 10^{3} \,{kgm}^{-3}$ ? Take viscosity of liquid $=1.8 \times 10^{-5}\, {Nsm}^{-2} .$ (Neglect buoyancy due to air).
    View Solution
  • 5
    A healthy adult of height $1.7 \,m$ has an average blood pressure $( BP )$ of $100 \,mm$ of $Hg$. The heart is typically at a height of $1.3 \,m$ from the foot. Take, the density of blood to be $10^3 \,kg / m ^3$ and note that $100 \,mm$ of $Hg$ is equivalent to $13.3 \,kPa$ (kilo pascals). The ratio of $BP$ in the foot region to that in the head region is close to
    View Solution
  • 6
    A spherical ball is dropped in a long column of a highly viscous liquid. The curve in the graph shown, which represents the speed of the ball $(v)$ as a function of time $(t)$ is 
    View Solution
  • 7
    A wooden piece floats half submerged in a tub of water. If the system is transferred to a lift ascending with acceleration the wooden piece will
    View Solution
  • 8
    A cubical block of side $'a'$ and density $'\rho '$ slides over a fixed inclined plane with constant velocity $'v'$ . There is a thin film of viscous fluid of thickness $'t'$ between the plane and the block. Then the coefficient of viscosity of the thin film will be
    View Solution
  • 9
    The spring balance $A$ reads $2$ $kg$ with a block $m $ suspended from it. $A$ balance $B$ reads $5$ $kg$ when a beaker with liquid is put on the pan of the balance. The two balances are now so arranged that the hanging mass is inside the liquid in the beaker as shown in the figure in this situation:
    View Solution
  • 10
    A closed vessel have a small hole in one face of vessel near the bottom as shown. The velocity of water coming out from the given hole at given instant is ....... $m/s$
    View Solution