Column II gives certain systems undergoing a process. Column I suggests changes in some of the parameters related to the system. Match the statements in Column I to the appropriate process(es) from Column II.
← IIT-JEE 2009 · Paper 2
PhysicsMatrix match+8Question 48 of 57
IIT-JEE 2009 · Paper 2, Physics question 48
Column I
- AThe energy of the system is increased
- BMechanical energy is provided to the system, which is converted into energy of random motion of its parts
- CInternal energy of the system is converted into its mechanical energy
- DMass of the system is decreased
Column II
- PSystem: A capacitor, initially uncharged. Process: It is connected to a battery
- QSystem: A gas in an adiabatic container fitted with an adiabatic piston. Process: The gas is compressed by pushing the piston
- RSystem: A gas in a rigid container. Process: The gas gets cooled due to colder atmosphere surrounding it
- SSystem: A heavy nucleus, initially at rest. Process: The nucleus fissions into two fragments of nearly equal masses and some neutrons are emitted
- TSystem: A resistive wire loop. Process: The loop is placed in a time varying magnetic field perpendicular to its plane
| P | Q | R | S | T | |
|---|---|---|---|---|---|
| A | |||||
| B | |||||
| C | |||||
| D |
Answer and worked solution
Official answer: A → P, Q, T; B → Q; C → S; D → S
- A, energy of the system increases: the battery stores energy in the capacitor (P); work done by the piston raises the gas's internal energy (Q); the changing field induces currents that heat the loop (T). The cooled gas loses energy, and the isolated nucleus keeps its total energy.
- B, mechanical work turned into random motion: pushing the piston (Q).
- C, internal energy turned into mechanical energy: in fission, nuclear binding energy becomes kinetic energy of the fragments (S).
- D, mass decreases: the fission products and neutrons have less rest mass than the nucleus (S).
Answer: A → P, Q, T; B → Q; C → S; D → S