Mechanical Prop...

A vessel of area of cross-section A has liquid to a height H. There is a hole at the bottom of vessel having area of cross-section a. The time taken to decrease the level from H₁ to H₂ will be

The diagram shows a cup of tea seen from above. The tea has been stirred and is now rotating without turbulence. A graph showing the speed t’ with which the liquid is crossing points at a distance X from O along a radius XO would look like

Water flows through a frictionless duct with a cross-section varying as shown in fig. Pressure P at points along the axis is represented by

Column II shows five systems in which two objects are labelled as X and Y. Also in each case a point P is shown. Column I gives some statements about X and/or Y. Match these statements to the appropriate system(s) from Column II

A spherical ball of radius r and relative density 0.5 is floating in equilibrium in water with half of it immersed in water. The work done in pushing the ball down so that whole of it is just immersed in water is : (where ρ is the density of water)

A glass tube of uniform internal radius (r) has a valve separating the two identical ends. Initially the valve is in a tightly closed position. End 1 has a hemispherical soap bubble of radius r. End 2 has sub-hemispherical soap bubble as shown in figure. Just after opening the valve

A soap bubble is blown with the help of a mechanical pump at the mouth of a tube. The pump produces a certain increase per minute in the volume of the bubble, irrespective of its internal pressure. The graph between the pressure inside the soap bubble and time t will be

Which graph represents the variation of surface tension with temperature over small temperature ranges for water ?

Two soap bubbles of radii r₁ and r₂ equal to 4 cm and 5 cm are touching each other over a common surface S₁S₂ (Shown in figure). Its radius will be