AP EAMCET · PHYSICS · Magnetic Effects of Current
An electron accelerated through a potential difference \(V\), passes through a uniform transverse magnetic field and experiences a force \(F\). If the accelerating potential is increased to \(2 \mathrm{~V}\), the electron in the same magnetic field will experience a force.
- A \(F\)
- B \(\frac{F}{2}\)
- C \(\sqrt{2} F\)
- D \(2 F\)
Answer & Solution
Correct Answer
(C) \(\sqrt{2} F\)
Step-by-step Solution
Detailed explanation
\(\because\) Magnetic force, \( \begin{aligned} F & =q(\mathbf{v} \times \mathbf{B}) \\ & =q v B \sin \theta \end{aligned} \) For uniform transverse magnetic field, \(\theta=90^{\circ}\) So, \( F=q v B=q\left(\sqrt{\frac{2 q V}{m_e}}\right) B \) when electron accelerated through…
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