d
Given phase difference \(=\frac{\pi}{4}\) and \(\omega=100\) \(rad/s\)

\(\Rightarrow\) Reactance \((X)=\) Resistance \((R)\) Now by checking option.

Option \((A)\)

\(\mathrm{R}=1000 \,\Omega\) and \(\mathrm{X}_{\mathrm{c}}=\frac{1}{10^{-6} \times 100}=10^{4} \,\Omega\)

Option \((B)\)

\(\mathrm{R}=10^{3} \,\Omega\) and \(\mathrm{X}_{\mathrm{L}}=10 \times 10^{-3} \times 100=1 \,\Omega\)

Option \((\mathrm{C})\)

\(\mathrm{R}=10^{3} \,\Omega\) and \(\mathrm{X}_{\mathrm{L}}=10^{-3} 100=10^{-1}\, \Omega\)

Option \((D)\)

\(\mathrm{R}=10^{3} \,\Omega\) and \(\mathrm{X}_{\mathrm{c}}=\frac{1}{10 \times 10^{-6} \times 100}=10^{3} \,\Omega\)