The density of a substance is 8 g/cm². Now we have a new system in which unit of length is 5cm
and unit of mass 20g. Find the density in this new system
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Explanation:
Given density = 8g/cm3
In the new system, 1 mass unit (m unit) = 20g, 1 length unit (l unit) = 5 cm
thus, 1 v unit = 5^3 cm^3
Using unitary method, 1g = 1/20 m unit
Similarly, 1 cm^3 = 1/125 v unit
Thus by multiplying the corresponding values to those in the given density, we get
New density = (8*1/20)/(1/125) = 50 m unit/ v unit
Edit: Hope it helped you!!
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