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Electrostatics question

2009 · Shift 2 · Q55
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Electrostatics question

2009 · Shift 2 · Q55

JEE AdvancedPhysicsElectrostaticsNumerical+3 / −1
A solid sphere of radius R has a charge Q distributed in its volume with a charge density ρ=Kra\rho = K{r^a}ρ=Kra, where K and a are constants and r is the distance from its centre. If the electric field at r=R/2r = R/2r=R/2 is 1/8 times than at r=Rr = Rr=R, find the value of aaa.
Numerical answer
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