Tu =200 Two conducting hemispherical shell of the same radius R but different materials are held together buy a very thin nonconducting material which can be neglected. As shown in Figure, the upper half carries a charge density of 24 32- while the lower half carries a charge density of where is a constant. Which of the followings about the electric field created by the system of these two hemispheres is/are true? I) Because the system has a spherical symmetry, the electric field can be easily found from Gauss's law. II) Because the overall charge density is not uniform, the electric field is not perpendicular to the surface of the sphere at its every point. II) The density of electric field lines through a perpendicular surface is greater for the upper hemisphere than for the lower hemisphere. I) The electric field is zero everywhere inside the system. ON LILand V O and V O 9 land V E)l and l O D land V

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Two conducting hemispherical shell of the same radius R but different materials are held together buya very thin nonconducting material which can be neglected. As shown in Figure, the upper half carries a charge density of
32-
20,
while the lower half carries a charge density of
where
is a constant. Which of the followings about the electric field created by the system of these two hemispheres is/are true?
I) Because the system has a spherical symmetry, the electric field can be easily found from Gauss's law.
I) Because the overall charge density is not uniform, the electric field is not perpendicular to the surface of the sphere at its every point.
III) The density of electric field lines through a perpendicular surface is greater for the upper hemisphere than for the lower hemisphere.
IV The electric field is zero everywhere inside the system.
O A) 1, II, and IV
O B) II and IV
O 9 ll and IV
E)l and l
O D) I and Iv
Transcribed Image Text:(1///) Two conducting hemispherical shell of the same radius R but different materials are held together buya very thin nonconducting material which can be neglected. As shown in Figure, the upper half carries a charge density of 32- 20, while the lower half carries a charge density of where is a constant. Which of the followings about the electric field created by the system of these two hemispheres is/are true? I) Because the system has a spherical symmetry, the electric field can be easily found from Gauss's law. I) Because the overall charge density is not uniform, the electric field is not perpendicular to the surface of the sphere at its every point. III) The density of electric field lines through a perpendicular surface is greater for the upper hemisphere than for the lower hemisphere. IV The electric field is zero everywhere inside the system. O A) 1, II, and IV O B) II and IV O 9 ll and IV E)l and l O D) I and Iv
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