CMC Medical CMC-Medical VELLORE Solved Paper-2007

  • question_answer
    Three identical charges are placed at the comers of an equilateral triangle. If the force between any two charges is F, then the net force on each will be

    A)  \[\sqrt{2}\]F                                     

    B)  2 F

    C)  \[\sqrt{2}\]F                                     

    D)  3 F

    Correct Answer: C

    Solution :

                    Net force on each charge will be \[{{F}_{net}}=\sqrt{{{F}^{2}}+{{F}^{2}}+2{{F}^{2}}\cos 60{}^\circ }\] \[\Rightarrow \]               \[{{F}_{net}}=\sqrt{2{{F}^{2}}+2{{F}^{2}}\times \frac{1}{2}}\] \[\Rightarrow \]               \[{{F}_{net}}=\sqrt{2{{F}^{2}}+{{F}^{2}}}\] \[\Rightarrow \]               \[{{F}_{net}}=\sqrt{3{{F}^{2}}}\] \[\therefore \]  \[{{F}_{net}}=\sqrt{3}F\]


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