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Let \( \mathbf{a}_R \) be the unit radial vector in the spherical coordinate system. For which of the following value(s) of \( n \), the divergence of the radial vector field \( \mathbf{f}(R) = \mathbf{a}_R \frac{1}{R^n} \) is independent of \( R \)?
  • GATE EE - 2025
  • GATE EE
  • Mathematics
  • Geometry and Vectors
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