Please answer the following multiple choice questions. Select the choice that fo
ID: 1628967 • Letter: P
Question
Please answer the following multiple choice questions. 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 about its center. (b) A system has spherical symmetry if it is unchanged under some rotation about its center. (c) A system has spherical symmetry if it is unchanged under reflection through a plane through its center. (d) A system has spherical symmetry if it is unchanged under a translation of its center. (e) A system has spherical symmetry if it is made of point charges. What relation must exist between two vectors A vector and B vector for the dot product of the two vectors to be zero? Select One of the Following: (a) The vectors must point in the same direction. (b) The vectors must point in opposite directions. (c) The vectors must be perpendicular. (d) The dot-product is only zero if one of the vectors is zero. (e) The vectors must point either in the same direction or in the opposite directions. In applying Gauss' Law to planar systems, we ignore the electric flux out of the curved sides on the Gaussian cylinder. We can do this because: Select One of the Following: (a) The electric field is zero on the curved surface. (b) The normal of the curved surface is zero. (c) The electric field is perpendicular to the surface normal on the curved surfaces. (d) If you integrate all the way around a closed curve, you get zero. The two thin concentric spherical shells each have uniform surface charge densities. The total charge on the inner shell is +Q and the total charge on the outer shell is -Q. Which of the following best describes the direction of the electric field between the shells? Select One of the Following: (a) The electric field between the shells points radially outward from the center of the system. (b) The electric field between the shells points radially inward toward the center of the system. (c) The electric field between the shells points radially outward from the center of the system near the inner shell and changes direction to radially inward near the outer shell. (d) The electric field between the shells points radially inward from the center of the system near the inner shell and changes direction to radially outward near the outer shell. (e) The electric field lines are concentric circles around the inner shell.Explanation / Answer
1) option a is correct. It can be rotated by any rotation about its center
2)c is correct, A.B = AB cos theta, if perpendicular, A. B =0
3)C is correct. Since the charge system is planar like sheet charge, all the fields are perpendicular to the plane
4) option a is correct. Here the outer sphere charge has no effect, only inner sphere charge (+Q) effects.