Select the choice that follows that best defines spherical symmetry. Select One

Question

Select the choice that follows that best defines spherical symmetry. Select One of the Following: (a) A system has spherical symmetry if it is unchanged under any rotation (b) A system has spherical symmetry if t is unchanged under some rota- (c) A system has spherical symmetry if it is unchanged under reflection (d) A system has spherical symmetry if it is unchanged under a translation about its center. tion about its center. through a plane through its center. of its center (e) A system has spherical symmetry if it is made of point charges.

Explanation / Answer

Question 1.
By definition, "Spherical symmetry is a type of continuous symmetry in which the system is unchanged under any rotation about its center.
Question 2: Figure 'd' explains it correctly.
Explanation: Figure 'a', 'b' and 'c' are incorrect as the electric field at any point will be away from the line charge.

Question 3:
The electric field inside the inner shell and outside the outer shell will be zero as there is no net charge enclosed by the Gaussian Surface. And the electric field in between will be pointing towards the center as the inner shell contains negative charge. So figure 'b' is correct.
Question 4:
The electric field in between = k*sigma_1*(4pia^2)/d^2 = 9*10^9*0.04*10^-6*(4pi*0.05^2)/(0.04^2+0.04^2+0.05^2) = 1984.16 N/C inwards.
Question 5:
The flux through hoop will be zero.

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