WBJEE · Physics · Magnetic Effects of Current
Two particles, \(A\) and \(B\), having equal charges, after being accelerated through the same potential difference enter into a region of uniform magnetic field and the particles describe circular paths of radii \(R_{1}\) and \(R_{2}\) resporctively. The ratio of the masses of \(A\) and \(B\) is
- A \(\sqrt{R_{1}} / R_{2}\)
- B \(R_{1} / R_{2}\)
- C \(\left(R_{1} / R_{2}\right)^{2}\)
- D \(\left(R_{2} / R_{1}\right)^{2}\)
Answer & Solution
Correct Answer
(C) \(\left(R_{1} / R_{2}\right)^{2}\)
Step-by-step Solution
Detailed explanation
Radius of circular path followed by charged particle is given by \[ R=\frac{m v}{q B}=\frac{\sqrt{2 m K}}{q B} \quad[\because p=m v=\sqrt{2 m K}] \] where, \(K\) is kinetic energy of particle. Charged particle \(q\) is accelerated through some potential difference \(V\), such…
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