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A thin spherical shell encloses a concentric solid sphere. The radius of the shell is (0.060)^ 1 2 ~m and its surface charge density is -10⁻⁵ C / m ^2 .The radius of the solid sphere is (0.01)^ 1 3 ~m and its volumetric charge density is 3 10⁻⁵ C / m ^3 . ₀ is the permittivity of free space in C ^2 / Nm ^2 . The electric flux through a spherical surface concentric with the spherical shell and of radius greater than t

Options

  1. A0.4 10⁻³ ₀
  2. B0.8 10⁻³ ₀
  3. C1.2 10⁻³ ₀
  4. D1.6 10⁻³ ₀

Correct answer

D. 1.6 10⁻³ ₀

Step-by-step solution

Electric flux through spherical surface aligned & = q_ net enclosed ₀ & = Charge of sheII + Charge of sphere ₀ & = 1 ₀ [ array l 4 (0.06^ 1 2 )^2 (-10)⁻⁶ + 4 3 (0.01^ 1 3 )^3 3 10⁻⁵ array ] aligned aligned & = ₀ -0.24 10⁻⁶+0.39 10⁻⁶ & = 1.6 10⁻⁷ ₀ ~V - m aligned

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