At shallow depth $h$, the pressure in the ocean is simply given by $P = P_0 + \rho gh$, in which $\rho$ is the density of water and $P_0$ is the air pressure. As we go deeper, the high pressure causes the water to compress and become denser. Which of the following sketches illustrates the correct dependence of the pressure on the depth $h$ ?
Medium
Download our app for free and get startedPlay store
As depth increases, density of water increases so rate of increase of pressure with depth will be positive.
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
    Blood velocity: The flow of blood in a large artery of an anesthetised dog is diverted through a Venturi meter. The wider part of the meter has a crosssectional area equal to that of the artery. $A = 8\; mm^2$. The narrower part has an area $a = 4 \;mm^2$. The pressure drop in the artery is $24\; Pa$. What is the speed (in $m/s$) of the blood in the artery?
    View Solution
  • 2
    In the figure shown, the heavy cylinder (radius $R$) resting on a smooth surface separates two liquids of densities $2\ \rho$ and $3\ \rho$ . The height $‘h’$ for the equilibrium of cylinder must be
    View Solution
  • 3
    The weight of a body in water is one third of its weight in air. The density of the body is ....... $g / cm ^3$
    View Solution
  • 4
    A vessel of area of cross-section A has liquid to a height $H$ . There is a hole at the bottom of vessel having area of cross-section a. The time taken to decrease the level from ${H_1}$ to ${H_2}$ will be
    View Solution
  • 5
    Two bodies are in equilibrium when suspended in water from the arms of a balance. The mass of one body is $36 g $ and its density is $9 g / cm^3$. If the mass of the other is $48 g$, its density in $g / cm^3$ is
    View Solution
  • 6
    A large open tank has two holes in the wall. One is a square hole of side $L$  at a depth $y $ from the top and the other is a circular hole of radius $ R$  at a depth $ 4y $ from the top. When the tank is completely filled with water the quantities of water flowing out per second from both the holes are the same. Then $ R$ is equal to
    View Solution
  • 7
    A $20 \,cm$ long tube is closed at one end. It is held vertically, and its open end is dipped in water until only half of it is outside the water surface. Consequently, water rises in it by height $h$ as shown in the figure. The value of $h$ is closest to .............. $\,m / s$ (assume that the temperature remains constant, $P _{\text {armosphere }}=10^5 \,N / m ^2$, density. of water $=10^3 \,kg / m ^3$, and acceleration due to gravity $g =10 \,m / s ^2$ )
    View Solution
  • 8
    A particle released from rest is falling through a thick fluid under gravity. The fluid exerts a resistive force on the particle proportional to the square of its speed. Which one of the following graphs best depicts the variation of its speed $v$ with time $t$ ?
    View Solution
  • 9
    The reading of pressure metre attached with a closed pipe is $4.5 \times 10^4 \mathrm{~N} / \mathrm{m}^2$. On opening the valve, water starts flowing and the reading of pressure metre falls to $2.0 \times 10^4 \mathrm{~N} / \mathrm{m}^2$. The velocity of water is found to be $\sqrt{\mathrm{V}} \mathrm{m} / \mathrm{s}$. The value of $\mathrm{V}$ is__________
    View Solution
  • 10
    A spray gun is shown in the figure where a piston pushes air out of a nozzle. A thin tube of uniform cross section is connected to the nozzle. The other end of the tube is in a small liquid container. As the piston pushes air through the nozzle, the liquid from the container rises into the nozzle and is sprayed out. For the spray gun shown, the radii of the piston and the nozzle are $20 \ mm$ and $1 \ mm$ respectively. The upper end of the container is open to the atmosphere. $Image$

    $1.$ If the piston is pushed at a speed of $5 \ mms ^{-1}$, the air comes out of the nozzle with a speed of

    $(A)$ $0.1 \ ms ^{-1}$ $(B)$ $1 \ ms ^{-1}$ $(C)$ $2 \ ms ^{-1}$ $(D)$ $8 \ ms ^{-1}$

    $2.$ If the density of air is $\rho_{ a }$ and that of the liquid $\rho_{\ell}$, then for a given piston speed the rate (volume per unit time) at which the liquid is sprayed will be proportional to

    $(A)$ $\sqrt{\frac{\rho_{ a }}{\rho_{\ell}}}$ $(B)$ $\sqrt{\rho_a \rho_{\ell}}$ $(C)$ $\sqrt{\frac{\rho_{\ell}}{\rho_{ a }}}$ $(D)$ $\rho_{\ell}$

    Give the answer question $1$ and $2.$

    View Solution