NEET Sample Paper NEET Sample Test Paper-47

  • question_answer
    The area of the acceleration-displacement curve of a body gives:

    A) Impulse

    B) Change in kinetic energy per unit mass

    C) Change in momentum per unit mass

    D) Total change in energy

    Correct Answer: C

    Solution :

    Area under acceleration displacement curve \[=\int{a.dx}\] \[=\int{\frac{dv}{dt}.dx}\] \[=\int\limits_{u}^{v}{v\,\,dv}\left[ v=\frac{dx}{dv} \right]\] \[={{\left[ \frac{{{v}^{2}}}{2} \right]}^{v}}_{u}\] \[=\frac{1}{2}\left[ {{\operatorname{v}}^{2}}-{{\operatorname{u}}^{2}} \right]\] = change in K.E. energy per unit mass


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