A U-tube of small and uniform cross section contains water of total length 4H the height difference between the water columns on the left and on the right is H when the valve K is closed, the valve is suddenly open, and water is flowing from left to right. ignore friction find the speed of water when the heights of the left and the right water columns are the same.

A vertical U-tube of uniform cross-section contains water upto a height to 0.8 m. Show. that if the water on one side is depressed and then released, its motion up and down the tube is shm. Calculate the period.

Two capillaries of small cross section are connected as shown in the figure. The right tube has cross sectional radius R and left one has a radius of r (lt R) . The tube of radius R is very long where as the tube of radius r is of short length. Water is slowly poured in the right tube. Contact angle for the tube wall and water is theta = 0^(@) . Let h be the height difference between water surface in the right and left tube. Surface tension of water is T and its density is rho . (a) Find the value of h if the water surface in the left tube is found to be flat. (b) Find the maximum value of h for which water will not flow out of the left tube .

A thin V-shaped glass tube is fixed in the vertical plane as shown. Innitially the left part of the tube contains a column of water of length d=sqrt(2) m. A valve at the bottom of the tube prevents the water from moving to right part. At some time, the valve is quickly opened neglecting friction find the time (in seconds) it takes for the water to move completely into the right part of the tube. (Take g=pi^(2)m//s^(2))

A vertical U-tube of uniform cross-section contains mercury. Through one of its limbs, some water is poured such that the mercury level in that limb goes down by 2 cm. What will be the height of the water column?

A closed right circular cone, contains water up to a height ((H)/(2)) above its base, where H is its height. To what height does the water rise, if the cone is inverted ?

A vertical uniform U tube open at both ends contains mercury. Water is poured in one limb until the level of mercury is depressed 2cm in that limb. What is the length of water column when this happens.

Water rises to a height h in a capillary tube when dipped vartically . If another capillary tube of the same material with half the bore cross section is dipped vertically rise of water in this case

A small iron ball falls from rest through a large height h into a water column, the final velocity

A small iron ball falls from rest through a large height h into a water column, the final velocity