Question

An electron of mass m_e and a proton of mass m_p are kept in a uniform electric field. The ratio of the acceleration of electron (a_e) to the acceleration of proton (a_p) is ______.

Options

• `m_p/m_e`

• one

• infinity

• `m_e/m_p`

Answer 1

An electron of mass m_e and a proton of mass m_p are kept in a uniform electric field. The ratio of the acceleration of electron (a_e) to the acceleration of proton (a_p) is `underlinebb(m_p/m_e)`.

Explanation:

The force on a charged particle in a uniform electric field is given by

F = qE ⇒ ma = qE

or a = `(qE)/m`

∴ `a_e/a_p = (eE)/m_e xx m_p/(eE) = m_p/m_e`