Consider the following information in respect of four objects A, B, C and D:
Object | Density$(kg/m^3)$ | Volume$(m^3)$ | Mass$(kg)$ |
A |
| 2 | 4000 |
B | 8000 | 4 | |
C | 2000 | | 1000 |
D | | 4 | 2000 |
Which object would float on water?
(a) A
(b) B
(c) C
(d) D"
In the given table, Mass of object A $=4000\ kg$
Volume of object A $=2\ m^3$
Therefore, the density of A $=\frac{mass}{density}$
$=\frac{4000\ kg}{2\ m^3}$
$=2000\ kg/m^3$
Similarly, density of object C $=\frac{2000\ kg}{4\ m^3}=500\ kg/m^3$
Now we can arrange the densities of objects A, B, C, and D as below in the table:
Object | Density$(kg/m^3)$ |
A | 2000 |
B | 8000 |
C | 2000 |
D | 500 |
Here we observe that the density of the object D is less than that of the water. So Object D will float in water.
Therefore, option (d) is correct.
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