A solid sphere of radius $R$ has a volume change density $ρ = ρ_{0} r^{2}$ (Where $ρ_{0}$ is a constant and $r$ is the distance from centre). At a distance $x$ from its centre (for $x < R$ ), the electric field is directly proportional to:-

\frac{1}{x^{2}}

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\frac{1}{x}

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x^{2}

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x^{3}

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Solution

The correct option is A $\frac{1}{x^{2}}$
Radius $= R$
density $= ρ = ρ_{0} r^{2}$
(where $ρ_{0} =$ constant)
$r =$ the distance from centre
at a distance $= x$ from its centre. (for $x < R)$
electric field $α \frac{1}{x^{2}}$
This is the belonging formula.

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A solid sphere of radius R has a volume change density ρ=ρ0r2 (Where ρ0 is a constant and r is the distance from centre). At a distance x from its centre (for x<R), the electric field is directly proportional to:-

The correct option is A 1x2Radius =Rdensity =ρ=ρ0r2(where ρ0= constant)r= the distance from centreat a distance =x from its centre. (for x<R)electric field α1x2This is the belonging formula.

A solid sphere of radius $R$ has a volume change density $ρ = ρ_{0} r^{2}$ (Where $ρ_{0}$ is a constant and $r$ is the distance from centre). At a distance $x$ from its centre (for $x < R$ ), the electric field is directly proportional to:-

The correct option is A $\frac{1}{x^{2}}$
Radius $= R$
density $= ρ = ρ_{0} r^{2}$
(where $ρ_{0} =$ constant)
$r =$ the distance from centre
at a distance $= x$ from its centre. (for $x < R)$
electric field $α \frac{1}{x^{2}}$
This is the belonging formula.