Physics-
General
Easy

Question

In the P-V diagram shown in figure ABC is a semicircle. The work done in the process ABC is

  1. Zero    
  2. fraction numerator pi over denominator 2 end fraction a t m minus l t    
  3. negative fraction numerator pi over denominator 2 end fraction a t m minus l t    
  4. 4 atm-lt    

The correct answer is: fraction numerator pi over denominator 2 end fraction a t m minus l t


    W subscript A B end subscript is negative (volume is decreasing) and
    W subscript B C end subscript is positive (volume is increasing) and
    since, open vertical bar rightwards arrow over short leftwards arrow W subscript B C end subscript close vertical bar greater than open vertical bar rightwards arrow over short leftwards arrow W subscript A B end subscript close vertical bar
    therefore net work done is positive and area between semicircle which is equal to fraction numerator pi over denominator 2 end fraction a t m minus l t

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