Refer to the given figure. Let \(\Delta U_1\) and \(\Delta U_2\) be the changes in internal energy of the system in processes \(A\) and \(B\). Then:
      

1. \(\Delta U_1>\Delta U_2\) 2. \(\Delta U_1=\Delta U_2\)
3. \(\Delta U_1<\Delta U_2\) 4. \(\Delta U_1\neq\Delta U_2\)
Subtopic:  Cyclic Process |
 85%
Level 1: 80%+
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Given below are two statements: 
Assertion (A): Internal energy of an ideal gas does not change when it is taken through a cyclic process.
Reason (R): Internal energy is a state function, and when the gas returns to the same state – it attains the same value independent of the process.
 
Choose the correct option from the given ones:
1. Both (A) and (R) are True and (R) is the correct explanation of (A).
2. Both (A) and (R) are True but (R) is not the correct explanation of (A).
3. (A) is True but (R) is False.
4. (A) is False but (R) is True.
Subtopic:  Cyclic Process |
 89%
Level 1: 80%+
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\(1\) mole of a monatomic ideal gas is taken through the processes indicated in the diagram. Process \(AB\) is isochoric, \(BC\) is isothermal & \(CA\) is isobaric.
                               
The ratio of the temperatures at \(B,A\) i.e., \(T_B/T_A\) equals:
1. \(2\)

2. \(\dfrac12\)

3. \(4\)

4. \(\dfrac14\)
Subtopic:  Cyclic Process |
 82%
Level 1: 80%+
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In each of the four diagrams \((\mathrm a)\) to \((\mathrm d),\) the variation of pressure \(p\) with volume \(V\) is shown as a closed path. The gas undergoes a cyclic process along the path \(ABCDA.\) What will be the net change in the internal energy of the gas after completing one full cycle in each case?

\((\mathrm a)\) \((\mathrm b)\)
\((\mathrm c)\) \((\mathrm d)\)
 
1. The change in internal energy is zero in all four cases.
2. Positive in cases \((\mathrm a),(\mathrm b)\) and \((\mathrm c),\) but zero in case \((\mathrm d).\)
3. Negative in cases \((\mathrm a),(\mathrm b)\) and \((\mathrm c),\) but zero in the case \((\mathrm d).\)
4. Positive in all cases from \((\mathrm a)\) to \((\mathrm d).\)
Subtopic:  Cyclic Process |
 84%
Level 1: 80%+
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If \(Q\), \(E\), and \(W\) denote respectively the heat added, the change in internal energy, and the work done in a closed cycle process, then:

1. \(W=0\) 2. \(Q=W=0\)
3. \(E=0\) 4. \(Q=0\)
Subtopic:  Cyclic Process |
 79%
Level 2: 60%+
AIPMT - 2008
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A thermodynamic system is taken through the cycle \(ABCD\) as shown in the figure. Heat rejected by the gas during the cycle is:
1. \(2 {PV}\) 2. \(4{PV}\)
3. \(\dfrac{1}{2}{PV}\) 4. \(PV\)
Subtopic:  Cyclic Process |
 78%
Level 2: 60%+
AIPMT - 2012
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