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Physics · JEE | Electric Charges and Fields

हिन्दी

What is the time required for an electron of mass \( m_e \) starting from rest to fall through a distance \( h \) in a uniform electric field \( E \)?

  1. A
    \( t_e = \sqrt{\frac{2h m_e}{e E}} \)
  2. B
    \( t_e = \sqrt{\frac{h m_e}{2 e E}} \)
  3. C
    \( t_e = \frac{2h m_e}{e E} \)
  4. D
    \( t_e = \sqrt{\frac{e E}{2h m_e}} \)
View Answer & Solution

Correct answer · Option A

\( t_e = \sqrt{\frac{2h m_e}{e E}} \)

Explanation

Using kinematic equation \( h = \frac{1}{2}a_e t_e^2 \) where \( a_e = \frac{eE}{m_e} \), we get \( t_e = \sqrt{\frac{2hm_e}{eE}} \).
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