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STD 12 - 4. Moving charges and magnetism — NEET STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceNEETSTD 12 - 4. Moving charges and magnetism4 Marks
Question
An electron accelerated through a potential difference $V$ enters a uniform transverse magnetic field and experiences a force $F$. If the accelerating potential is increased to $2V$, the electron in the same magnetic field will experience a force
✓

Answer

$F=B q v$

But $\frac{1}{2} m v^{2}=e V$ or $v=\sqrt{\frac{2 e V}{m}}$

$\therefore F=B q \sqrt{\frac{2e v}{m}}$

$\Rightarrow F \propto \sqrt{V}$ and

$F \propto \sqrt{2 V}$

$\frac{F^{\prime}}{F}=\sqrt{2}$ or $F^{\prime}=\sqrt{2} F$

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