Correct Answer: (b)
Solution:The average density of the object is given by ρT = M / V
Since the object is made up of two equal parts by volume
Hence volume of part 1 and part will be 1/2 V each The density of part 1 is given by, ρo and the density of part 2 is, 2ρo
Let the mass of part 1 is given by, m₁ and the mass of part 2 is, m₂ then, ρo = m₁/ 0.5 V
and, 2ρo = m₂ / 0.5 V
Here, ρT = Total density of the object, M = mass of 7 object, and V volume of object
ρT = M / V = (ml + m₂) / V
= (ρo × 0.5V) + (2ρo× 0.5V) / V
= (3ρo V / 2) / V = (3/2) ρo