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PhysicsElectrostaticsGauss LawEasy2 minPYQ_2020

PhysicsEasysingle choice

Two non-conducting solid spheres of radii $R$ and $2 R$ , having uniform volume charge densities $ρ_{1}$ and $ρ_{2}$ , respectively, touch each other. The net electric field at a distance $2 R$ from the centre of the smaller sphere, along the line joining the centres of the spheres, is zero. The ratio $\frac{ρ_{1}}{ρ_{2}}$ is

Options:

Answer:

Solution:

Field due to small sphere

$= \frac{K ρ_{1} \frac{4}{3} π R^{3}}{{(2 R)}^{2}}$

Field due to bigger sphere

$= \frac{K ρ_{2} \frac{4}{3} π {(2 R)}^{3} \times R}{{(2 R)}^{3}}$

Equating above two, we get $\frac{ρ_{1}}{ρ_{2}} = 4$

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:ElectrostaticsSubtopic:Gauss Law

⏱ 2mℹ️ Source: PYQ_2020

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