NEET Sample Paper NEET Sample Test Paper-86

  • question_answer
    A passenger travels along the straight road for half the distance with velocity \[{{\text{v}}_{1}}\] and the remaining half distance with velocity\[{{\text{v}}_{1}}.\] Then average velocity is given by

    A) \[{{\text{v}}_{1}}{{\text{v}}_{2}}\]    

    B)        \[{{\text{v}}_{2}}^{2}/{{\text{v}}_{1}}^{2}\]

    C) \[({{\text{v}}_{1}}+{{\text{v}}_{2}})/2\]                     

    D) \[2\,{{\text{v}}_{1}}{{\text{v}}_{2}}/({{\text{v}}_{1}}+{{\text{v}}_{2}})\]

    Correct Answer: A

    Solution :

    [d] \[\frac{\frac{x}{2}+\frac{x}{2}}{\frac{x}{2\,{{v}_{1}}}+\frac{x}{2\,{{v}_{2}}}}=\frac{1}{\left( \frac{{{v}_{2}}+{{v}_{1}}}{2\,{{v}_{1}}\,{{v}_{2}}} \right)}=\frac{2\,{{v}_{1}}\,{{v}_{2}}}{{{v}_{1}}\,+{{v}_{2}}}\]


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