The final volume of a system is equal to the initial volume in a certain process. Is the work done by the system necessarily zero? Is it necessarily nonzero?

In a cyclic process, work done by the system is

In a cyclic process, work done by the system is

Statement-1: Temperature of a system can be increased without supplying heat. Statement-2: If the initial volume of system is equal to final volume in a process then work done is necessarily zero. Statement-3: If an adiabatic curve for a gas intersect with an isothermal curve for the same gas then at the point of intersection, the ratio of slope of the adiabatic and the isothermal curve is gamma .

Statement-1: Temperature of a system can be increased without supplying heat. Statement-2: If the initial volume of system is equal to final volume in a process then work done is necessarily zero. Statement-3: If an adiabatic curve for a gas intersect with an isothermal curve for the same gas then at the point of intersection, the ratio of slope of the adiabatic and the isothermal curve is gamma .

If the total mechanical energy of a particle is zero is its linear momentum necessarily zero? Is it necessarily nonzero?

If the total mechanicla energy of a particle is zero is its linear momentum necessarily zero? Is it necessarily nonzero?

If the total mechanical energy of a particle is zero is its linear momentum necessarily zero? Is it necessarily nonzero?