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Q.

S₁ and S₂ are two parallel concentric spherical surface enclosing charges q and 2q respectively as shown in fig. What is the electric flux through S₁ and S₂?

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a

$\frac{1}{6}$

b

$\frac{1}{8}$

c

$\frac{1}{3}$

d

$\frac{1}{4}$

answer is A.

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Detailed Solution

$ϕ_{s_{1}} = \frac{q}{ε_{0}}; ϕ_{s_{2}} = \frac{3 q}{ε_{0}}$

$\Rightarrow \frac{ϕ_{s_{1}}}{ϕ_{s_{2}}} = \frac{1}{3}$

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