A bottle has an opening of radius a and length b. A cork of length b and radius `(a+Delta A)` is compressed to fit into the opening completely (See figure). If the bulk modulus of cork is B and frictional coefficient between the bottle and cork is  then the force needed to push the cork into the bottle is :

The bottle of liqure ammonia is cooled before opening the cork because it -

The neck and bottom of a bottle are 3 cm and 15 cm in radius respectively. If the cork is pressed with a force 12 N in the neck of the bottle, then force exerted on the bottom of the bottle is :-

The neck and bottom of a bottle are 3 cm and 15 cm in radius respectively. If the cork is pressed with a force 12 N in the neck of the bottle, then force exerted on the bottom of the bottle is :-

The neck and bottom of a bottle are 3 cm and 15 cm in radius respectively. If the cork is pressed with a force 12 N in the neck of the bottle, then force exerted on the bottom of the bottle is :-

A man of mass m walks from end A to the other end B of a boat of mass M and length l. The coefficient of friction between the man and the boat is mu an neglect any resistive force between the boat and the water.

A man of mass m walks from end A to the other end B of a boat of mass M and length l. The coefficient of friction between the man and the boat is mu an neglect any resistive force between the boat and the water.

A rigid cylindrical container has inner radius r. A cork having radius r + Delta r and length L is to be fitted so as to close the container. Uniform pressure (Delta P) is needed on the curved cylindrical surface of the cork. Poisson’s ratio of a cork is almost zero, and its bulk modulus is B. (a) Calculate Delta P (b) After the cork is fitted how much force will be needed to pull it out of the container? Coefficient of friction between the container and the cork is mu .

The system is pushed by a force F as shown in figure. All surfaces are smooth except between B and C Friction coefficient between B and C is mu . Minimum value of F to prevent blokc B from downward slipping is

The system is pushed by a force F as shown in figure All surface are smooth except between B and C friction coefficient between B and C is Minimum value of F to prevent block B from down ward slipping is