TS EAMCET · Physics · Electrostatics
An alpha particle and a proton are accelerated from rest in a uniform electric field. The ratio of the times taken by proton and alpha particle to attain equal displacements is
- A \(\sqrt{2}: 1\)
- B 1:2
- C \(1: \sqrt{2}\)
- D 2:1
Answer & Solution
Correct Answer
(C) \(1: \sqrt{2}\)
Step-by-step Solution
Detailed explanation
\(a = \frac{qE}{m}\) \(q_p=e, m_p=m; q_\alpha=2e, m_\alpha=4m\) \(a_p = \frac{eE}{m}, a_\alpha = \frac{2eE}{4m} = \frac{eE}{2m}\) \(s = \frac{1}{2}at^2 \Rightarrow t = \sqrt{\frac{2s}{a}}\)…
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