TS EAMCET · Physics · Magnetic Effects of Current
A proton and an alpha particle moving with equal speeds enter normally into a uniform magnetic field. The ratio of times taken by the proton and the alpha particle to make one complete revolution in the magnetic field is
- A \(1: \sqrt{2}\)
- B \(1: 2\)
- C \(\sqrt{2}: 1\)
- D \(2: 1\)
Answer & Solution
Correct Answer
(B) \(1: 2\)
Step-by-step Solution
Detailed explanation
\(T = \frac{2\pi m}{qB}\) \(\frac{T_p}{T_\alpha} = \frac{m_p/q_p}{m_\alpha/q_\alpha}\) \(\frac{T_p}{T_\alpha} = \frac{m_p/e}{4m_p/(2e)}\) \(\frac{T_p}{T_\alpha} = \frac{2}{4} = 1:2\)
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