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Physics - Electrostatics Question with Solution | TestHub

PhysicsElectrostaticsPotential & potential energyEasy2 minPYQ_2020

PhysicsEasysingle choice

Two spheres of radii $2 c m$ and $3 c m$ are charged to the same potential. If $σ_{1}$ and $σ_{2}$ be respectively the values of surface charge density on the conductors, then the ratio $\frac{σ_{1}}{σ_{2}}$ will be

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Answer:

Solution:

$V = \frac{σ_{1} r}{ε_{0}} = \frac{σ_{1} \times 2}{ε_{0}} V = \frac{σ_{2} R}{ε_{0}} = \frac{σ_{2} \times 3}{ε_{0}}$

$∴ \frac{σ_{1} \times 2}{ε_{0}} = \frac{σ_{2} \times 3}{ε_{0}}$

$∴ \frac{σ_{1}}{σ_{2}} = \frac{3}{2}$

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:ElectrostaticsSubtopic:Potential & potential energy

⏱ 2mℹ️ Source: PYQ_2020

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