Home
Class 12
PHYSICS
Figure shows as thin tube open at one en...

Figure shows as thin tube open at one end rotating with constant angular speed `omega`. The other end of the tube has a small opening. Tube contains a fluid of density `rho` which effuses with speed `u` relative to the tube. Let `rho_(A)` be the pressure at the point in the tube just behind the opening. Assume the atmospheric pressure to be `p_(0)` and pick correct option(s) for the instant when `h=l/2`

A

`p_(A)=p_(0)+(rho omega^(2)l^(2))/4`

B

`p_(A)=p_(0)+3/8rho omega^(2) l^(2)`

C

`u=(omega l)/2`

D

`u=(sqrt(3))/2 omegal`

Text Solution

Verified by Experts

The correct Answer is:
B, D
By Newton's second law,
`(p_(A)-p_(0))s=rhoshomega^(2)(l-h/2)`
`impliesp_(A)=p_(0)+rho omega^(2)h(l- h/2)`
By Bernoulli's equation
`u=omegasqrt(2h(l-h/2))`
Promotional Banner

Similar Questions

Explore conceptually related problems

Compare the pressure at the point P in the three tubes shown in the figure .

Water is flowing through a long horizontal tube. Let P_A and P_B be the pressures at two points A and B of the tube

The pressure at depth h below the surface of a liquid of density rho open to the atmosphere is

Figure shows an L -shaped tube tilled with a liquid to a height H . What should be the horizontal acceleration a of the tube so that the pressure at the point A becomes atmospheric.

A light cylindrical tube 'T' of length l and radius 'r' containing air is inverted in water (density d). One end of the tube is open and the other is closed A block 'B' of density 2d is kept on the tube as shown in the figure. The tube stays in equilibrium in the position shown. (Assume the atmosphere pressure is to be P_(0) ) Assume that density of air is very small than density of block and water. Pick up the correct statement (s)

A container A is having some fluid of density theta_(0) . If is connected with a U tube manometer shown in figure. Find the pressure of the container in both the cases given in figure.

In which nematoblast thread tube is unarmed and open at the tip?

A vertical tube of length 100 cm contains a mercury pallet of length 5 cm as shown in the figure. The length of the tube above mercury pallet if the tube is inverted is nearly: (atmospheric pressure = 75 cm Hg of Hg)

A tube in vertical plane is shown in figure. It is filled with a liquid of density rho and its end B is closed. Then the force exerted by the fluid on the tube at end B will be: [Assume the radius of the tube to be negligible in comparison to l]

A U tube is rotated about one of it's limbs with an angular velocity omega . Find the difference in height H of the liquid (density rho ) level, where diameter of the tube dlt lt L .