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KCET · Physics · Thermodynamics

A thermodynamic system undergoes a cyclic process \( A B C \) as shown in the diagram. The work done by the system per cycle is

  1. A \( -750 \mathrm{~J} \)
  2. B \( 750 \mathrm{~J} \)
  3. C \( 1250 \mathrm{~J} \)
  4. D \( -1250 \mathrm{~J} \)
Verified Solution

Answer & Solution

Correct Answer

(A) \( -750 \mathrm{~J} \)

Step-by-step Solution

Detailed explanation

(A)
Work done \( =p \times \Delta v \)
Work done = Area of triangle ABC
\( \therefore W=\frac{1}{2}(10-5) \times(100-400) \)
\( =\frac{5}{2} \times(-300)=-750 \mathrm{~J} \)
The negative sign means the work is done by the system.