Electrostatics 7 Question 3
3. There is uniform spherically symmetric surface charge density at a distance from the origin. The charge distribution is initially at rest and starts expanding because of mutual repulsion. The figure that represents best the speed of the distribution as a function of its instantaneous radius is
(Main 2019, 12 Jan I) (a)
(c)
(b)
(d)
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Solution:
- Key Idea As, electrostatic force is conserved in nature so, total energy of charge distribution remains constant in absence of any external interaction.
Let radius of distribution at some instant
Now by conservation of energy, we have
(
Differentiating this equation with respect to
Here,
Also, slope
From above conclusions, we can see that the best suited graph is given in option (c).