Question:
Two spherical hollow spheres of radii '\(R_1\)' and '\(R_2\)' are charged with same charge. Let '\(σ_1\)' and '\(σ_2\)' are their respective charge densities, then the ratio \(σ_1\) to \(σ_2\) is
Two spherical hollow spheres of radii '\(R_1\)' and '\(R_2\)' are charged with same charge. Let '\(σ_1\)' and '\(σ_2\)' are their respective charge densities, then the ratio \(σ_1\) to \(σ_2\) is
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Surface charge density is charge divided by surface area.
Updated On: Oct 1, 2026
- \(R_1:R_2\)
- \(R_2:R_1\)
- \(R_2^2:R_1^2\)
- \(R_1^2:R_2^2\)
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The Correct Option is C
Solution and Explanation
Step 1: Formula
\(\sigma = \frac{q}{4\pi R^2}\).
Step 2: Ratio
With the same charge, \(\frac{\sigma_1}{\sigma_2} = \frac{R_2^2}{R_1^2}\). Option (C).
Final Answer:
The ratio is R2 squared to R1 squared. \[ \boxed{\text{(C)}\ R_2^2:R_1^2} \]
\(\sigma = \frac{q}{4\pi R^2}\).
Step 2: Ratio
With the same charge, \(\frac{\sigma_1}{\sigma_2} = \frac{R_2^2}{R_1^2}\). Option (C).
Final Answer:
The ratio is R2 squared to R1 squared. \[ \boxed{\text{(C)}\ R_2^2:R_1^2} \]
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