JEE Main & Advanced Physics Magnetic Effects of Current / करंट का चुंबकीय प्रभाव Question Bank Critical Thinking

  • question_answer
    \[{{H}^{+}},\,H{{e}^{+}}\] and \[{{O}^{++}}\] ions having same kinetic energy pass through a region of space filled with uniform magnetic field B directed perpendicular to the velocity of ions. The masses of the ions \[{{H}^{+}},\,H{{e}^{+}}\]and \[{{O}^{++}}\] are respectively in the ratio \[1:4:16\]. As a result

    A)            \[{{H}^{+}}\] ions will be deflected most

    B)            \[{{O}^{++}}\] ions will be deflected least

    C)            \[H{{e}^{+}}\] and \[{{O}^{++}}\] ions will suffer same deflection

    D)            All ions will suffer the same deflection

    Correct Answer: C

    Solution :

     \[r\propto \frac{\sqrt{m}}{q}\]\[\Rightarrow {{r}_{H}}:{{r}_{He}}:{{r}_{o}}=\frac{\sqrt{1}}{1}:\frac{\sqrt{4}}{1}:\frac{\sqrt{16}}{2}=1:2:2\] Radius is smallest for \[{{H}^{+}}\], so it is deflected most.


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