Given a lamp with a radiant intensity of \(0.1 \mathrm{~W} / \mathrm{sr}\) illuminating a Lambertian diffuser \(10 \mathrm{~cm}\) away with a \(1 \mathrm{~cm}\) diameter aperture located just beyond the diffuser; this "new" \(1 \mathrm{~cm}\) diameter source then illuminates a detector \(100 \mathrm{~cm}\) from the lamp. What is the irradiance on the detector if the transmission of the diffuser is 0.60 ?