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JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2007

  • question_answer
        A force\[\overrightarrow{F}=(5\hat{i}+3\text{ }\hat{j}+2\hat{k})N\]is applied over a particle which displaces it from its origin to the point\[\overrightarrow{r}=(2\hat{i}-\hat{j})m\]. The work done on the particle in joules is 

    A)  \[-7\]                                   

    B)  \[+7\]

    C)  \[+10\]                               

    D)  \[+13\]

    Correct Answer: B

    Solution :

                    Work done is displacing the particle \[W=\overrightarrow{F}.\overrightarrow{r}=(5\hat{i}+3\hat{j}+2\hat{k}).(2\hat{i}-\hat{j})\] \[=5\times 2+3\times (-1)+2\times 0=10-3\] \[=7J\]


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