Two identical small charged spheres are a certain distance apart, and each initially experiences an electrostatic force of magnitude f due to the other. with time, charge gradually diminishes on both spheres. when each of the spheres has lost half its initial charge, the magnitude of the electrostatic force will be

a) 1/16 f
b) 1/8 f
c) 1/2 f
d) 1/4 f

d) 1/4 F

Explanation:

The magnitude of electrostatic force between stationary charges is described by Coulomb's law. This law states that this force is proportional to the magnitudes of the charges:

When each of the spheres has lost half its initial charge, we have:

So, the new electrostatic force is:

i think it because equal matrices have equal dimensions, only square matrices can be symmetric. for all indices and . every square diagonal matrix is symmetric, since all off-diagonal elements are zero. in linear algebra, a real symmetric matrix represents a self-adjoint operator over a real inner product space.