Home
Class 12
PHYSICS
A hole in the horizontal bottom of the c...

A hole in the horizontal bottom of the container is closed by a hemispherical cap of radius R (see figure) The vessel is filled with liquid of density d. Bottom is at a depth of H. Find the force with which the cap presses down on the bottom of the vessel. Neglect atmospheric pressure. If the force is api N, fill 'a' in the OMR sheet (Take `d=10^(3)kg//m^(3), H=1m, R=30cm)`

Text Solution

Verified by Experts

The correct Answer is:
720.00`

`therefore F_(y)=rho gH pi R^(2)-(2)/(3)pi R^(3) rho g`
`= pi(0.3)^(2) xx 1 xx 10^(3) xx 10`
`-(0.3)^(3)xx 10^(3) xx 10`
= 720 `pi`
Promotional Banner

Topper's Solved these Questions

  • NTA TPC JEE MAIN TEST 30

    NTA MOCK TESTS|Exercise PHYSICS (SUBJECTIVE NUMERICAL)|10 Videos

  • NTA TPC JEE MAIN TEST 124

    NTA MOCK TESTS|Exercise PHYSICS |30 Videos

  • NTA TPC JEE MAIN TEST 36

    NTA MOCK TESTS|Exercise PHYSICS |30 Videos

Similar Questions

Explore conceptually related problems

A liquid of mass 1 kg is filled in a flask as shown in figure. The force exerted by the flask on the liquid is (g=10m//s^(2)) [Neglect atmospheric pressure]:

A beaker of circular ceross sectionof radius 4 cm is filled with mercury up to a height of 10 cm. Find the force exerted by the mercury on the bottom of the beaker. The atmospheric pressure =10^5Nm^-2 . Density of mercury =13600 kgm^-3. Take g10ms^-2

A cone of radius r and height r is under a liquid of density d.its base is parallel to the free surface of the liquid at a depth H from it as shown.What is the net force due to liquid on its curved surface? (neglect atmospheric pressure)

What is the pressure at the bottom of the ocean at a place where it is 3 km deep ? [atmospheric pressure =1.01 xx10^(5)Pa, Density of sea water =1030kg m ^(-30)]

A liquid of density 800kg m^(-3) is filled in a tank open at the top. The pressure, of the liquid, at the bottom of the tank is 6.4 atmospheres. The velocity of efflux throught a hole at the bottom is ( 1atmosphere = 10^(5)Nm^(-2) )

A cylinder of 4 m height is half filled with oil of density 0.72 g cm ""^(-3) . If the Becond half of cylinder is filled with water, then find the pressure at the bottom of cylinder due to these liquids.

A cylindrical vessel of radius r is filled with a homogeneous liquid upto a height h. It is found that the force exerted by the liquid column on the bottom of the cylinder is equal to the force exerted by the liquid on the sides of the cylinder. What is the relation between r and h?

The bottom of a cylindrical vessel has a circlular hole of radius r and at depth h below the water] level. If the diameter of the vessel is D, the find then speed with which the water level in the] vessel drops.

A conical vessel having base area 4xx10^3 m^2 and height 40 cm is filled with a liquid of density 0. 9 grarm/ cm^3 . What is the force acting on the base of the vessel due to the liquid column ? [Use g =10m//s^2 ]

To what height h should a cylindrical vessel of diameter d be filled with a liquid so that the total force on the vertical surface of the vessel be equal to the force on the bottom-