JEE Main & Advanced Physics Work, Energy, Power & Collision / कार्य, ऊर्जा और शक्ति Question Bank Graphical Questions

  • question_answer
    The relation between the displacement X of an object produced by the application of the variable force F is represented by a graph shown in the figure. If the object undergoes a displacement from \[X=0.5\,m\] to \[X=2.5\,m\] the work done will be approximately equal to     [CPMT 1986]

    A)                         16 J            

    B)                         32 J            

    C)                         1.6 J            

    D)                         8 J

    Correct Answer: A

    Solution :

                                Work done = Area under curve and displacement axis             = Area of trapezium             = \[\frac{1}{2}\]×(sum of two parallel lines) × distance between them             = \[\frac{1}{2}(10+4)\times (2.5-0.5)\]             = \[\frac{1}{2}14\times 2\]= 14 J             As the area actually is not trapezium so work done will be more than 14 J i.e. approximately 16 J          


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