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Figure shows for containers of olive oil...

Figure shows for containers of olive oil. The pressure at depth h is

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Four container of honey are shown in the figure. The pressure at depth h is

Figure (b) shows the variation of pressure ( p ) with depth ( h ) along a vertical wall supporting two liquids of different densities as shown in Fig. (a). Identify the correct variation of pressure in the liquid of density rho_(2) .

Knowledge Check

  • Consider a liquid at rest in a container which opens into atmosphere. At any point A at a depth h below the surface of the liquid, (i) the gauge pressure at point A is rho gh. (ii) the gauge pressure at point a is P _(a)+rhogh. (iii) The pressure at point A is rhogh. (iv) The pressure at point A is Pa + rho gh. The correct alternative is

    A
    `(i) and (iii)
    B
    (ii) and (iv)
    C
    (iii) and (iv)
    D
    (i) and (iv)

  • The top surface of an incompressible liquid is open to the atmosphere. The pressure at a depth h_(1) below the surface is p_(1) . What is the pressure p_(2) at depth h_(2) = 2h_(1) compare with p_(1) ?

    A
    `p_(2) gt 2p_(1)`
    B
    `p_(2)=2p_(1)`
    C
    `p_(2) lt 2p_(1)`
    D
    `p_(2)=p_(1)`

  • Estimate the pressure deep inside the sea at a depth h below the surface. Assume that the density fo water is rho_(0) at sea level and its bulk modulus is B. P_(0) is the atmosphere pressure at sea level P is the pressure at depth 'h'

    A
    `P = P_(0) - B In (1 - (rho_(0)gh)/(B))`
    B
    `P = P_(0) + B In (1 - (rho_(0)gh)/(B))`
    C
    `P = P_(0) - B In (1 + (rho_(0)gh)/(B))`
    D
    `P = P_(0) + B In (1 + (rho_(0)gh)/(B))`

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    Oil enters the bend of a pipe in the horizontal plane with velocity 4ms^(-1) and pressure 280xx10^(3)Nm^(-2) as shown in the figure. Find the pressure of oil at the point Q in (kNm^(2)) (Take specific gravity of oil as 0.9 and sin37^@=0.6. )

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