NEET Sample Paper NEET Sample Test Paper-21

  • question_answer A force \[\vec{F}=6\hat{i}+2\hat{j}-3\hat{k}\]acts on a particle and produces a displacement of \[\vec{s}=2\hat{i}-3\hat{j}+x\hat{k}.\]If the work done is zero, the value of \[x\]is:

    A) \[-2\]                           

    B) \[\frac{1}{2}\]            

    C)    6                    

    D)    2                                

    Correct Answer: D

    Solution :

    \[W=\vec{F}.\vec{s}=(6\hat{i}+2\hat{j}-3\hat{k}).(2\hat{i}-3\hat{j}+x\hat{k})=0\] or,\[12-6-3x=0\]\[\Rightarrow x=2\] Hence, the correction option is (d).

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