कला
सौंदर्य और कल्याण
हस्तशिल्प
संस्कृति और इतिहास
मनोरंजन
पर्यावरण
खाद्य और पेय
हरित भविष्य
रिवर्स इंजीनियरिंग
स्कूल परियोजनाएँ
विज्ञान
खेल
प्रौद्योगिकी
पहनने योग्य
Testing a Gold Crown with Water — Archimedes' Buoyancy and the Eureka Method
King Hiero of Syracuse suspected his goldsmith had cut his crown with cheaper silver, but how do you check without melting it down? Around 250 BC Archimedes solved it in the bath: stepping in, he saw the water rise by his own volume and realised a submerged object displaces its own volume of water. Density — weight divided by volume — then betrays any cheating, because gold is far denser than silver. This blueprint reproduces both the famous displacement test and Archimedes' more precise underwater-balance method, and states the buoyancy principle that floats every ship.
मध्यवर्ती
2
निर्देश
1
1
Understand the problem
Understand the problem
You must find whether a crown is pure gold without damaging it. The key is density — weight divided by volume. Pure gold is very dense (about 19.3 g/cm³); gold mixed with lighter silver (about 10.5 g/cm³) is less dense, so the same weight of it takes up more space.
2
2
The Eureka insight
The Eureka insight
When a solid is lowered into water it pushes aside — displaces — exactly its own volume of water. So even an oddly shaped crown's volume can be measured by how much water it displaces. This is what Archimedes realised watching the bath overflow.
3
3
Set up an equal-arm balance
Set up an equal-arm balance
Hang a balance scale, or make an equal-arm balance from a rod and string with a small pan on each end, so it swings level and can compare two weights precisely.
आवश्यक उपकरण:
Balance Scale4
4
Balance the crown against pure gold in air
Balance the crown against pure gold in air
On the balance, set the crown against an equal weight of known pure gold, in air, until the two sides hang exactly level. Now they weigh the same — the only question left is whether they take up the same volume.
इस चरण के लिए सामग्री:
Crude Lead Ingot (from galena smelting)1 टुकड़ाआवश्यक उपकरण:
Balance Scale5
5
Submerge both in water
Submerge both in water
Lower both objects, still on the balance, into a vessel of water. Each is pushed up by a buoyant force equal to the weight of the water it displaces — the bulkier object is pushed up harder.
इस चरण के लिए सामग्री:
Water5 लीटरआवश्यक उपकरण:
Clean Glass Jars with Lids
Cotton Kitchen String6
6
Read the verdict
Read the verdict
If the crown is pure gold it has the same volume as the gold and the balance stays level under water. If it is adulterated with lighter silver it is bulkier, displaces more water, is buoyed up more, and its side rises — proof the crown is not pure gold.
आवश्यक उपकरण:
Balance Scale7
7
Or measure density directly
Or measure density directly
The simpler displacement version: weigh the crown, then submerge it in a brim-full vessel and measure the overflow — that volume is the crown's volume. Density = weight ÷ volume. Compare to pure gold's 19.3 g/cm³; an adulterated crown reads lower.
आवश्यक उपकरण:
Clean Glass Jars with Lids8
8
State Archimedes' principle
State Archimedes' principle
Any body in a fluid is pushed up by a force equal to the weight of the fluid it displaces. That single law tells the crown from a fake, floats a loaded ship, and lifts a balloon — one of the oldest exact laws of physics, from around 250 BC.
सामग्री
2- प्लेसहोल्डर
You can swap these in
Can't get one of the materials? Swap it for an equivalent — these work just as well.
- Instead of Water, try:
Distilled Water (1 Liter)
Distilled Water - Instead of Balance Scale, try:
Iron Scale
Livestock Scale
Weighing Scale
Precision Scale
Platform Weighing Scale
Digital Scale (0.01g)
Digital Kitchen Scale - Instead of Clean Glass Jars with Lids, try:
Glass Bottles with Lids - Instead of Crude Lead Ingot (from galena smelting), try:
Bronze Ingot
Brass Ingot
Recommended for this build
Products makers often use with builds like this one.
Desktop ComputerUsed together and in similar builds
PaperUsed together and in similar builds
Cloth (Straining)Frequently used with this build's materials
Graphite Pencil SetUsed together and in similar builds
Glass MullerFrequently used with this build's materials
Large Cooking PotFrequently used with this build's materials
Stone Mortar and Pestle (large)Frequently used with this build's materials
Chemical Splash GogglesFrequently used with this build's materialsसंबंधित ब्लूप्रिंट
ये ब्लूप्रिंट ज्ञान साझा करते हैं — तकनीक, सामग्री या सिद्धांत
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The Law of the Lever — Archimedes' Balance of Weight and Distance
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CC0 पब्लिक डोमेन
यह ब्लूप्रिंट CC0 के तहत जारी किया गया है। आप बिना अनुमति माँगे इस कार्य को किसी भी उद्देश्य के लिए कॉपी, संशोधित, वितरित और उपयोग करने के लिए स्वतंत्र हैं।
उनके ब्लूप्रिंट के माध्यम से उत्पाद खरीदकर मेकर का समर्थन करें जहाँ वे मेकर कमीशन कमाते हैं जो विक्रेताओं द्वारा निर्धारित होता है, या इस ब्लूप्रिंट का नया संस्करण बनाएँ और राजस्व साझा करने के लिए इसे अपने ब्लूप्रिंट में कनेक्शन के रूप में शामिल करें।