PHYSICS
JAMB 2006 - Question 41
Physics 2006 JAMB Past Questions - Question 41: if the relative density of gold is 19.2, the volume of 4 kg of go!d is
Choose the correct answers from the options given.
A:
B:
C:
D:
Correct Answer
D
Explanation
vol=Mass/Density =2.4/19.2*1000=1.25*10-4m3
The relative density (also known as specific gravity) of a substance is the ratio of its density to the density of water. The density of water is approximately 1,000 kg/m³.
So, if the relative density of gold is 19.2, it means that gold is 19.2 times denser than water.
To find the volume of 4 kg of gold, you can use the formula:
Volume (V) = Mass (M) / Density (D)
In this case, the mass (M) is 4 kg, and the density (D) is 19.2 times the density of water, which is 19.2 x 1,000 kg/m³.
V = 4 kg / (19.2 x 1,000 kg/m³) = 4,000 g / (19,200 g/m³) = 0.2083 m³
So, the volume of 4 kg of gold is approximately 0.2083 cubic meters.
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