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Q.

For a charged spherical ball, electrostatic potential inside the ball varies with r as V=2ar2+b Here, a and b are constant and r is the distance from the center .The volume charge density inside the ball is λaε The value of λ is ______ (ε=permittivity of the medium)

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answer is 12.

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Detailed Solution

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V=2ar2+b
Electric field E=dVdr=4ar
From gauss law   Eds=qε0
E4πr2=ρ43πr3ε0E=ρr3ε04ar=ρr3ε0 ρ=120

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