Final answer:
The serviceability check of a 1.5 kg BCF can be performed by determining whether the half-kilogram marks on the scale are accurately spaced. If not, the scale may need recalibration.
Step-by-step explanation:
The serviceability check of a 1.5 kg BCF can be performed by determining whether the half-kilogram marks on the scale are accurately spaced. According to the provided information, the scale is depressed 0.75 cm by its maximum load of 120 kg, which corresponds to a weight of 0.75 cm/120 kg = 6.25 x 10^-3 cm/kg. Since the BCF weighs 1.5 kg, the expected depression of the scale would be 1.5 kg x 6.25 x 10^-3 cm/kg = 9.375 x 10^-3 cm.
To check the serviceability of the scale, we need to calculate the distance between the half-kilogram marks. If the distance is indeed 9.375 x 10^-3 cm, then the scale is accurate. If not, the scale may need recalibration.