A spherical shell is cut into two pieces along a chord and separated by a large distance as shown in figure. For points A and B, where V and →E are gravitational potential and field respectively, then
A
VA=VB and |→EA|>|→EB|
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B
VA<VB and |→EA|=|→EB|
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C
VA=VB and |→EA|=|→EB|
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D
VA>VB and |→EA|<|→EB|
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Solution
The correct option is BVA<VB and |→EA|=|→EB| Since the net gravitational field inside a spherical shell is zero →EA+→EB=0 |→EA|=|→EB|
Analyzing gravitational field lines, VA<VB