When measured using a microphone connected to a spectrum analyser, the sound pressure level of a noise has a uniform power spectral density of $55.0 \mathrm{~dB} / \mathrm{Hz}$ over the $250 \mathrm{~Hz}$ octave band.
(a) What is the $250 \mathrm{~Hz}$ octave band sound pressure level?
(b) What is the A-weighted sound pressure level in the $250 \mathrm{~Hz}$ octave band? See Table 2.4 for $\mathrm{A}$-weighting corrections at band centre frequencies.
(c) What is the band number of the $400 \mathrm{~Hz} 1 / 3$-octave band?