A metal specimen weighs 219 gms in air, 180 gms in water, and 120 gms in a liquid of unknown density. Which conclusion regarding the metal's density is correct__________________?
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Answer: A. density of metal can’t be determined
Explanation
Without knowing the exact volume or mass of the metal independently of the unknown liquid's density, the absolute density of the metal cannot be determined. Archimedes principle provides relative buoyant forces, but insufficient independent data prevents calculating the absolute density value. Two unknown variables remain in the calculation because both the metal volume and the liquid density are missing from the measurements. Archimedes principle states that the upward buoyant force on a submerged object equals the weight of the fluid displaced by that object. Apparent weight loss in a fluid equals the product of the displaced volume, gravitational acceleration, and fluid density. Determining absolute material density requires knowing standard reference fluid densities like water along with exact mass measurements in air.
The metal cannot be proven to be twice as dense as water because insufficient volumetric data prevents calculating its absolute density. Determining whether the metal floats requires comparing its absolute density directly to the density of water, which remains unknown here. The metal cannot be proven to be twice as dense as the unknown fluid without solving the simultaneous buoyant force equations first.
- Subject
- Engineering
- Category
- Mechanical Engineering
- Topic
- —
- Difficulty
- medium
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