Haryana PMT Haryana PMT Solved Paper-2000

  • question_answer
    A proton moving with a velocity of \[2.5\times {{10}^{7}}m/s,\] enters a magnetic field of intensity 2.5T making an angle 30° with the magnetic field. The force on the proton is :

    A)  \[12.5\times {{10}^{-12}}N\]     

    B)  \[5\times {{10}^{-12}}N\]

    C)  \[9\times {{10}^{-12}}N\]                           

    D)  none of these

    Correct Answer: B

    Solution :

                    Using the relation, \[F=e\upsilon \,\,B\,\,\sin \theta \]                ...(i) Here,  \[\upsilon =2.5\times {{10}^{7}}m/s,\,B=2.5T,\,\theta ={{30}^{o}}\]                 \[e=1.6\times {{10}^{-19}}\] Putting the values in equation (i) weight or \[F=1.6\times {{10}^{-19}}\times 2.5\times {{10}^{7}}\times 2.5\sin {{30}^{o}}\] or \[F=1.6\times {{10}^{-19}}\times 2.5\times {{10}^{7}}\times 2.5\times \frac{1}{2}\] So,          \[F=5\times {{10}^{-12}}N\]


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