JEE Main & Advanced Physics Motion in a Straight Line / सरल रेखा में गति Sample Paper Topic Test - One Dimensional Motion

  • question_answer
    A particle is resting over a smooth horizontal floor. At \[t=0\] a horizontal force starts acting on it. Magnitude of the force increases with time according to law \[G=\alpha t,\] where a is a positive constant and t is time. For the figure shown which of the following statements is/are incorrect?

    A) Curve 1 shows acceleration against time

    B) Curve 2 shows velocity against time

    C) Curve 2 shows velocity against acceleration

    D) none of these

    Correct Answer: D

    Solution :

    [d] \[G=\alpha t,\] \[ma=\alpha t\Rightarrow a\,\propto \,t\] curve 1 is a against time \[\frac{mdv}{dt}=\alpha t\]. Integrating this we get \[v\,\propto \,{{t}^{2}}\] this implies parabola. Also \[v\,\propto \,{{\alpha }^{2}}\Rightarrow \] curve 3 shows velocity against acceleration.


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