In a uniform electric field, a point charge of mass m and charge q is released from rest. If there are no other forces acting on the particle, then which of the following graphs, correctly show the de

Question

In a uniform electric field, a point charge of mass $m$ and charge $q$ is released from rest. If there are no other forces acting on the particle, then which of the following graphs, correctly show the dependence of the particles speed $v$ on the distance $x$ travelled by it? [Graphs are schematic and not drawn to scale]

Options:

Answer:

B

Solution:

Using work-energy theorem,

$q E x = \frac{1}{2} m v^{2}$

$\Rightarrow v^{2} = \frac{2 q E}{m} x \Rightarrow v = \sqrt{\frac{2 q E}{m}} \sqrt{x}$

TestHub · Accepted Answer

Using work-energy theorem, q E x = 1 2 m v 2 ⇒ v 2 = 2 q E m x ⇒ v = 2 q E m x

Physics - Electrostatics Question with Solution | TestHub

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