There are some passengers inside a stationary railway compartment. The track is frictionless. The centre of mass of the compartment itself (without the passengers) is `C_(1)`, while the centre of mass of the 'compartment plus passengers' system is `C_(2)`. If the passengers move about inside the compartment along the track.

There are some passeger inside a stationary railway compartment. The centre of mass of the compartment itself (without the passngers) is C_(1) while the centre of mass of the compartment plus passengers system is C_(2) if passenger move about inside the comparment

In a stationary railway compartment, there are several passengers. If they start moving in the compartment, will CM of the compartment change ? Will the CM of the system of compartment and passengers change ?

In a railway compartment, 8 seats are vacant on a bench. In how many ways can 5 passengers sit on them ?

The diagram shows a train moving with constant velocity and a car moving towards the train with constant velocity. The engine driver measures the velocity of the car as v_(1) . The passenger sitting in the last compartment measures the velocity of the car as v_(2) . Which of the following statements is true?

In Fig., a container is shown to have a movable (without friction) piston on top. The container and the piston are all made of perfectly insulating material allowing no heat transfer between outside and inside the container. The container is divided into two compartments by a rigid partition made of a thermally conducting material that allows slow transfer of heat. the lower compartment of the container is filled with 2 moles of an ideal monoatomic gas at 700 K and the upper compartment is filled with 2 moles of an ideal diatomic gas at 400 K. the heat capacities per mole of an ideal monoatomic gas are C_(upsilon) = (3)/(2) R and C_(P) = (5)/(2) R , and those for an ideal diatomic gas are C_(upsilone) = (5)/(2) R and C_(P) = (7)/(2) R. Now consider the partition to be free to move without friction so that the pressure of gases in both compartments is the same. the total work done by the gases till the time they achieve equilibrium will be

In Fig., a container is shown to have a movable (without friction) piston on top. The container and the piston are all made of perfectly insulating material allowing no heat transfer between outside and inside the container. The container is divided into two compartments by a rigid partition made of a thermally conducting material that allows slow transfer of heat. the lower compartment of the container is filled with 2 moles of an ideal monoatomic gas at 700 K and the upper compartment is filled with 2 moles of an ideal diatomic gas at 400 K. the heat capacities per mole of an ideal monoatomic gas are C_(upsilon) = (3)/(2) R and C_(P) = (5)/(2) R , and those for an ideal diatomic gas are C_(upsilone) = (5)/(2) R and C_(P) = (7)/(2) R. Consider the partition to be rigidly fixed so that it does not move. when equilibrium is achieved, the final temperature of the gases will be