A cylinder of height h = 1 m has a narrow vertical slit along its wall running up to a length l = 40 cm from the bottom. The width of the slit b = 1 mm. The cylinder is filled with water with the slit closed. Find the force experienced by the vessel immediately after then slit is opened?

The side wall of a wide vertical vessel of height h=75 cm a narrow slit (vertical) running all the way down to the bottom of the vessel. The length of the slit is l=50 cm and the width is b=1 mm . With the slit closed, water is filled to the top. Find the resultant reaction force of water coming out as the slit is opened. brgt

A cylinder has a radius 20 cm. To what height should it be filled with water so that thrust in its walls is equal to that on its bottom? Find the mass of water filled in cylinder.

A uniform solid cylinder of density 0.8g//cm^3 floats in equilibrium in a combination of two non-mixing liquids A and B with its axis vertical. The densities of the liquids A and B are 0.7g//cm^3 and 1.2g//cm^3 , respectively. The height of liquid A is h_A=1.2cm. The length of the part of the cylinder immersed in liquid B is h_B=0.8cm . (a) Find the total force exerted by liquid A on the cylinder. (b) Find h, the length of the part of the cylinder in air. (c) The cylinder is depressed in such a way that its top surface is just below the upper surface of liquid A and is then released. Find the acceleration of the cylinder immediately after it is released.

A cylinder of height 20m is completely filled with water. The velocity of effux of water (in ms^(-1)) through a small hole on the side wall of the cylinder near its bottom is

A cylindrical vessel of height 500mm has an orifice (small hole) at its bottom. The orifice is initially closed and water is filled in it up to height H. Now the top is completely sealed with a cap and the orifice at the bottom is opened. Some water comes out from the orifice and the water level in the vessel becomes steady with height of water column being 200mm. Find the fall in height(in mm) of water level due to opening of the orifice. [Take atmospheric pressure =1.0xx10^5N//m^2 , density of water=1000kg//m^3 and g=10m//s^2 . Neglect any effect of surface tension.]

Light of wavelength 6 xx10^(-5) cm falls on screen at a distance of 100 cm from a narrow slit. Find the width of the slit if the first minima lies 1mm on either side of the central maximum

Coherent light of wavelength lambda" = 500 nm" is sent through two narrow parallel slits in a large vertical wall. The two slits are 5 mu m apart. In front of the wall there is a semi cylindrical screen with its hori- zontal axis at the line running on the wall parallel to the slits and midway between them. Radius of the cylin- drical screen is "R = 2.0 m." Find the vertical height of the second order interference maxima from the centre (O) of the screen.

Figure. Illustrates the interference axperiment with Fresnel mirrors. The angle between the mirrors is alpha = 12' the distance from the mirrors intersection line to the narrow slit S and the screen Sc are equal to r= 10.0 cm and b = 130 cm resoectively. the wavelength of light is lambda = 0.55 mu m . Find: (a) the width of a fringe on the screen and the number of possible maxima, (b) the shift of the interference pattern on the screen when the slit is displaced by del l = 1.0 mm along the are of radius r with centre at the point O , (c) at what maximum width del_(max) of the slit the interference fringes on the screen are still observed sufficiently sharp.