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JEE Main 2025 (24 Jan, Shift 2) · P-V Diagrams & Cyclic Processes

P-V Diagrams & Cyclic Processes question from JEE Main 2025 (24 Jan, Shift 2)

Q23JEE Main 2025 · 24 JAN · SHIFT 2Medium

P-V Diagrams & Cyclic Processes

The magnitude of heat exchanged by a system for the given cyclic process ABCA (as shown in figure) is (in SI unit):

Figure

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Answer: (c)

  1. For a cycle ΔU=0\Delta U = 0, so ∣Q∣=∣W∣|Q| = |W| = area enclosed.
  2. Path A-B-C is a semicircle and C-A is its diameter; enclosed area =12π rV rP= \frac{1}{2}\pi \, r_V \, r_P.
  3. rV=100r_V = 100 cc =10−4= 10^{-4} m3^3, rP=100r_P = 100 kPa =105= 10^{5} Pa.
  4. ∣Q∣=12π×10−4×105=5π|Q| = \frac{1}{2}\pi \times 10^{-4} \times 10^{5} = 5\pi J
  5. So the answer is (c) 5π5\pi.
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