In cyclic process shown on P -V diagram, magnitude of work done is

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11.Thermodynamics

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In the cyclic process shown on the $P -V$ diagram, the magnitude of the work done is

A

$\pi {\left( {\frac{{{P_2} - {P_1}}}{2}} \right)^2}$

B

$\pi {\left( {\frac{{{V_2} - {V_1}}}{2}} \right)^2}$

C

$\frac{\pi }{4} (P_2 -P_1) (V_2 -V_1)$

D

$\pi (P_2V_2 -P_1V_1)$

Solution

W $=$ Area of ellipse $ = \pi \left( {\frac{{{P_2} – {P_1}}}{2}} \right)\left( {\frac{{{V_2} – {V_1}}}{2}} \right)$

Standard 11

Physics

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