Question

A particle of mass \(m\) and charge \(q\) starts from rest and moves in an electric field \(\vec{E} = E_0 \hat{i}\). After travelling a distance \(x\) in the field along \(x\)-axis, the kinetic energy of the particle will be :

• A. \(q E_0 x^2\)
• B. \(q E_0 x\)
• C. \(q^2 E_0 x\)
• D. \(q^2 E_0^2 x^2\)

Hint:

For conservative fields like a uniform electric field, the kinetic energy gained starting from rest can be directly computed using \(K = q \cdot \Delta V\), where \(\Delta V = E \cdot x\). Hence, \(K = qE_0x\).

Answer 1

The Correct Option is B