JEE Main & Advanced Physics Vectors Question Bank Critical Thinking

  • question_answer
    Find the resultant of three vectors \[\overrightarrow{OA},\,\overrightarrow{OB}\] and \[\overrightarrow{OC}\] shown in the following figure. Radius of the circle is R.

    A)             2R

    B)             \[R(1+\sqrt{2})\]

    C)             \[R\sqrt{2}\]

    D)             \[R(\sqrt{2}-1)\]

    Correct Answer: B

    Solution :

                    \[{{R}_{\text{net}}}=R+\sqrt{{{R}^{2}}+{{R}^{2}}}=R+\sqrt{2}R=R(\sqrt{2}+1)\]


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