GATE XE (Engineering Sciences) 2016 - Question 17

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Section: Engineering Mathematics | Marks: 1

The value of the surface integral F dS Γ ⋅ ∫∫ n υρ over the sphere Γ given by 𝑥𝑥2 + 𝑦𝑦2 + 𝑧𝑧2 = 1, where ˆ ˆ = 4 F x i - z k ρ , and ndenotes the outward unit normal, is

  • A. 𝜋𝜋
  • B. 2 𝜋𝜋
  • C. 3 𝜋𝜋
  • D. 4 𝜋𝜋

Answer: D. 4 𝜋𝜋

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