# When a copper strip of mass 106 g is immersed in a cylinder containing water, it was noted that the water level changed to 36 mL from 24 mL. The densi

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When a copper strip of mass 106 g is immersed in a cylinder containing water, it was noted that the water level changed to 36 mL from 24 mL. The density of copper is:
1. 1.22 g/cm3
2. 2.12 g/cm3
3. 6.55 g/cm3
4. 8.83 g/cm3

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Correct Answer - Option 4 : 8.83 g/cm3

The correct answer is option 4) i.e. 8.83 g/cm3

CONCEPT:

• Density is defined as the amount of mass of an object contained in a given unit of volume.
• The density of an object is given by

Density, $\rho = \frac{m}{V}$

Where m is the mass of the object and V is the volume.

EXPLANATION:

Given that:

Mass, m = 106 g

Initial volume, Vi = 24 mL

Final volume, Vf = 36 mL

Volume of the copper strip,

⇒ V = Vf - Vi = 36 - 24 = 12 mL = 12 cm3

• The density of copper is

$⇒ \rho = \frac{m}{V} =\frac{106}{12} = 8.83\: g/cm^3$