NEET Sample Paper NEET Sample Test Paper-39

  • question_answer A particle covers half of its total distance with speed \[{{v}_{1}}\]and the rest half distance with speed \[{{v}_{2}}.\]Its average speed during the complete journey is

    A) \[\frac{{{v}_{1}}{{v}_{2}}}{{{v}_{1}}+{{v}_{2}}}\]

    B) \[\frac{2{{v}_{1}}{{v}_{2}}}{{{v}_{1}}+{{v}_{2}}}\]

    C) \[\frac{2v_{1}^{2}v_{2}^{2}}{v_{1}^{2}+v_{2}^{2}}\]

    D) \[\frac{{{v}_{1}}+{{v}_{2}}}{2}\]  

    Correct Answer: B

    Solution :

     Velocity \[v=\frac{s}{y}\Rightarrow s=vt\] The average speed of particle \[{{v}_{av}}=\frac{s+s}{\frac{s}{{{v}_{1}}}+\frac{s}{{{v}_{2}}}}\] \[\Rightarrow \] \[{{v}_{av}}=\frac{2{{v}_{1}}{{v}_{2}}}{{{v}_{1}}+{{v}_{2}}}\]

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