The density of the metal is twice the density of liquid since acceleration, a is half of accelerating due to gravity, g.
What is the relationship between acceleration and density?
For a solid falling through a viscous fluid, the acceleration of the object decreases until it attains terminal velocity.
The acceleration of the body increases with increase in density of the solid.
When density of solid = density of liquid, acceleration a = g
When density of solid = 2 × density of the liquid, acceleration a = g/2.
Therefore, the density of the metal is twice the density of liquid since acceleration, a is half of accelerating due to gravity, g.
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