A test tube of mass 2m closed with a cork of mass m contains a drop of liquid of negligible mass. When the test tube is heated, the liquid evaporates and the cork flies off under the pressure of the gas. What must be the minimum velocity with which the cork must be ejected such that the test tube describes a full circle of radius R about the pivot? (Assuming test tube as a point object) R 11 (2mm 5

A test tube of mass 20 gm is filled with a gas and fitted with a stopper of 2 gm . It is suspended horizontally by means of a thread of 1m length and heated. When the stopper kicks out, the tube just completes a circle in vertical plane. The velocity with which the stopper kicked out is

During gas of negligible mass is sealed in a test tube of mass 50 gm with the helo of a stopper of mass 3.5 gm . The test tube is suspended from a fixed point with help of massless string such that the test tube is horizontal and distance between point of suspension and centre of mass of test tube is 25 cm . The test tube is heated to a temperature due to which stopper is ejected out horizontally while test tube completes a vertical circle of radius 25 cm . The minimum velocity with which stopper should be ejected out is

Test tube A contains 10 ml of liquid X and test tube B contains a liquid Y of volume 50 ml. the ratio o the density of Y to X is 2:5. Compare the mass of liquid A and B.

Arrange the following steps in a sequential order to demonstrate the expansion of gases (a) Heat the test tube and observe the position of coloured drop in the narrow galss tube (b) Take a drop of coloured liquid in to naroorw galss tube (c ) Take an empty test tube fit its mouth wiht one holed cork stopper (d) Fit the narrow glass tube through the cork os that the level of the coloured drop is just above the cork (e ) The ari in the tube expands and pushes the colured drop in the narrow tube upwards

A test tube of length l and area of cross-section A has some iron fillings of mass M. The test tube floats normally in a liquid of density rho with length x dipped in the liquid. A distribuing force makes the tube oscillate in the liquid. The time period of osciallation is given by (neglect the mass of the test tube)

When a capillary tube of radius r is immersed in a liquid of density rho, the liquid rises to a height h in it. If m is the mass of the liquid in the capillary tube, find the potential energy of this mass of the liquid in the tube.

A tube of length 'L' is filled completely with an in compressiblem liquid of mass 'M' and closed at both ends. The tube is then rotated in a horizontal plane about one of it's ends with a uniform angular velocity 'omega' . Then which of following statements are true :

In the figure ADB & BEF are two fixed circular paths. A block of mass m enters in the tube ADB through point A with minimum velocity to reach point B . From there it moves on another circular path of radius R '. There it is just able to complete the circle.