Mass M is uniformly distributed only on curved surface of a thin hemispherical shell. A, B and C are three points on the circular base of hemisphere, such that A is the center. Let the gravitational potential at points A, B and C be V A , V B , V C respectively. Then
Text Solution
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Let the possible direction of electric field at point B be shown by 1, 2, 3 and
4(Figure 1). Rotate the figure upside down. It will be as shown in figure 2.
Figure 1
Figure 2
Figure 3
Now on placing upper half of figure 1 on the lower half of figure 2 we get complete sphere.
Electric field at point B must be zero, which is only possible if the electric field is along
direction 3. Hence electric field at all points on circular base of hemisphere is normal to plane
of circular base.
Circular base of hemisphere is an equipotential surface.
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