Regarding question 33, sir said that changing reference frame doesnt change static properties. Then will p2'=p2, T2'=T2? these are downstream conditions in both the cases. Will they be same?
Yes you are right. Since, across the shock wave flow properties jump, static properties also jump with similar magnitude. Here, static properties are same because those defines the state of the gas and we are considering the same fluid, the properties does not change with coordinate transformation. Whereas, total properties change because they are defined quantities, if you add dynamic part contributions in moving fluid such as transformed system here, total properties also change. Note that, total temperature across the moving shock is not constant eventhough process is adiabatic is because the flow process is unsteady in case of moving shock systems.
Yes, you are right. Here it seems the question is using different unit for specific impulse. Specific impulse has unit of seconds. In question they have m/s and that is the unit of specific thrust. Simple dimensional analysis can give you correct answer. Remember, these quantities are defined quantities and author can define in his own way as long as they provide the correct dimensions gor their definition. Here it is given in m/s and hence the definition modifies to Thrust/mass flow rate instead of Thrust/weight flow rate.
Nope, p01 < p01' Here, in moving shock system, static and stagnation properties are same for fluid ahead of the shock wave since, gas is stagnant until it encounters the shock.