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An infinitely long solid cylinder of radius \( R \) has a uniform volume charge density \( \rho \). It has a spherical cavity of radius \( R / 2 \) with its centre on the axis of the cylinder, as shown in the figure. The magnitude of the electric field at the point \( P \), which is at a distance \( 2 R \) from the axis of the cylinder, is given by the expression \( \frac{23 \rho R}{16 k \varepsilon_{0}} \). The value of \( k \) is
\( \mathrm{P} \)
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