NEET Sample Paper NEET Sample Test Paper-11

  • question_answer
    A particle staring from the origin (0, 0) moves in a straight line in the \[(x,y)\] plane. Its coordinates at a later time are\[(\sqrt{3},3).\]The path of the particle makes with the A'-axis an angle of:

    A) \[{{30}^{o}}\]                        

    B) \[{{45}^{o}}\]

    C) \[{{60}^{o}}\]                        

    D) \[{{0}^{o}}\]

    Correct Answer: C

    Solution :

     As the speed is constant throughout the motion, so it is a case of uniform circular motion. Therefore, its radial acceleration \[a=r{{\omega }^{2}}=r{{\left( \frac{2\pi n}{t} \right)}^{2}}=r\times \frac{4{{\pi }^{2}}{{n}^{2}}}{{{t}^{2}}}\] \[=\frac{1\times 4\times {{\pi }^{2}}\times {{(22)}^{2}}}{{{(44)}^{2}}}={{\pi }^{2}}\,m/{{s}^{2}}\] This acceleration is directed along radius of circle towards center of circle.


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