Basic Maths and Units and DimensionsHard

Question

A uniformally charged solid sphere of radius R has potential V0 (measured with respect to ∞) on its surface. For this sphere the equipotential surfaces with potentials have radius R1 , R2 , R3 and R4 respectively. Then

Options

A.R1 = 0 and R2 < (R4 − R3)
B.2R < R4
C.R1 = 0 and R2 > (R4 − R3)
D.R1 ≠ 0 and (R2 − R1) > (R4 − R3)

Solution

for r < R                     V =
& for r > R        V =
at r = R      V0 =
at r = 0       V0 = V0
∴  R1 = 0
for V = V0     

for V = V0       
                            
for V =             
                             R4 = 4R0

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